1. Physics

    A converging thin lens made out of crown glass (n=1.52) has a focal length f=1.0m An identical lens (same radius for the spherical surfaces), made out of a high-index plastic with n=1.70 will be ... A. Converging with a focal length smaller than 1.0 m B.

    asked by mm on March 27, 2010
  2. Physics

    I was asked to compare my measured focal length to my calculated focal length. My calculated focal length I figured out by using the formula: 1/di + 1/do = 1/f Would my measured focal length = my di? I only measured by di and do in the actual experiment.

    asked by Lena on February 18, 2009
  3. physics

    What focal-length lens would you need to place next to a converging lens of focal length 29 cm to create an effective focal length of 14 cm for the combination?

    asked by Jeanette on October 28, 2012
  4. Physics

    Two converging lenses are placed 31.0 cm apart. The focal length of the lens on the right is 22.0 cm, and the focal length of the lens on the left is 15.0 cm. An object is placed to the left of the 15.0 cm focal-length lens. A final image from both lenses

    asked by Christopher on April 27, 2010
  5. Physics

    A compound microscope has a barrel whose length is 17.4 cm and an eyepiece whose focal length is 1.7 cm. The viewer has a near point located 25 cm from his eyes. What focal length must the objective have so the angular magnification of the microscope is

    asked by Beth on July 14, 2012
  6. Physics

    A compound microscope has an objective lens with a focal length of 1.5 cm and an eye piece of focal length 5 cm. It is focused on an object which is at a distance of 1.8 cm. The length of the microscope for normal adjustment is ?

    asked by Clandestine on March 31, 2013
  7. Physics

    Two thin lenses one with 12 cm focal length and the other with a -6.0 cm focal length are placed 18 cm apart.Locate the final image of an object placed on the axis 18 cm to the left of the positive Lena.

    asked by JN on April 23, 2019
  8. physics

    a convex lens of focal length 30cm is cut half perpendicular to its principal axes what is its new focal length

    asked by sehrish on December 28, 2010
  9. Physics

    A Simple Astronomical Telescope In Normal Adjustment Has An Objective Of Focal Length 100cm And An Eye Piece Of Focal Length 5cm What Is The Angular Magnification

    asked by Godwin John on February 15, 2017
  10. Physics

    A Simple Astronomical Telescope In Normal Adjustment Has An Objective Of Focal Length 100cm And An Eye Piece Of Focal Length 5cm What Is The Angular Magnification (a) 20 (b) 25 (c) 1/20 (d) 1/25

    asked by Godwin on February 15, 2017
  11. physics

    Two converging lenses, having focal length 5 cm and 10 cm respectively, are placed 25cm apart. An object is placed 10 cm in front of the lens of focal length 5cm. Determine the position and magnification of the final image formed.

    asked by aiman on August 15, 2015
  12. physics

    The Yerkes refracting telescope has a 1 m diameter objective lens of focal length 20 m.Assume it is used with an eyepiece of focal length 4.31 cm. Find the angular magnification of the planet Mars as seen through this telescope

    asked by Jim on March 21, 2011
  13. physics

    The distance between the lenses of a microscope is 18 cm. The focal length of the eyepiece is 1.8 cm. If the microscope is to produce an angular magnification of -260 when used by a person with a normal near point (20 cm from the eye), what must the focal

    asked by Orla on April 6, 2016
  14. Physics

    two lenses,one converging with focal length 20.0 cm and one diverging with focal length -10.0 cm , are placed 25.0 cm apart. An object is placed 60.0 cm in front of the converging lens. Determine A) The position and B) the magnification of the final image

    asked by jimmy on March 25, 2008
  15. Physics

    A concave, spherical mirror and a thin, converging lens are both measured in air (n=1.0) to have the same focal length, ff. Both the mirror and the lens are then placed under water (n=1.33) and their focal lengths are measured again. For both the mirror

    asked by Urgent Help Needed Please!!! on October 30, 2016
  16. Physics

    Two plus lenses have focal lengths in the ratio 3:1. When placed together in close contact the focal length of the combination is +8.33cm. What are the focal lengths of the two lenses?

    asked by Nikki on November 4, 2013
  17. physics

    Two plus lenses have focal lengths in the ratio 7:1. When placed together in close contact the focal length of the combination is +12.5cm. What are the focal lengths of the two lenses?

    asked by shaky on December 6, 2015
  18. physics

    a compound microscope has an eyepiece of focal length 10 c.m and an objective of focal length 4c.m.the magnification of an object is placed at a distance of 5 c.m from the objective so that the final image is formed at the distance of distinct vision (20

    asked by Asfand on November 8, 2016
  19. Physics

    1. A photographer uses a camera lens with focal length of 50.0 mm to photograph a tree that is 4.60 m tall. She wishes to fill her 24.0-mm slide with the tree. (a) How far from the lens should the film be? 1/o + 1/24 = 1/50 600 + 25o = 24o o = -600/13 or

    asked by Dylan on December 1, 2016
  20. physics

    Camera lenses are described in terms of their focal length. A 50 mm lens has a focal length of 50 mm. A camera is focused on an object 81 m away using a 88 mm lens. Locate the position of the image. Answer in units of mm

    asked by amanda and leah on March 22, 2012
  21. Physics

    Two converging lenses with the focal lengths of 40 cm and 20 cm are 10 cm apart. a 2.0-cm-tall object is 15 cm in front of the 40-cm-focal-length lens. Calculate the image position and height.

    asked by Ashley on April 27, 2010
  22. physics

    A laboratory (astronomical) telescope is used to view a scale that is 306 cm from the objective, which has a focal length of 20.0 cm; the eyepiece has a focal length of 2.40 cm. Calculate the angular magnification when the telescope is adjusted for minimum

    asked by Jessica on December 17, 2010
  23. Physics

    1. A concave mirror forms a real image at 25cm from he mirror surface along the principal axis. If the corresponding object is at a 10cm distance, what is the mirror's focal length? 2. A woman looking in a makeup mirror sees her face at twice its actual

    asked by Anonymous on July 26, 2011
  24. Physics

    Two lenses are in contact. One of the lenses has a focal length of +10.0cm when used alone. When the two are in combination, an object 20cm away from the lenses forms a real image 40cm away from the lenses. What is the focal length? I am not sure how to

    asked by Jul on April 2, 2013
  25. Physics

    The microscope has a converging lens (the eyepiece) with a focal length of 2.50 mounted on one end of a tube of adjustable length. At the other end is another converging lens (the objective) that has a focal length of 1.00 . When you place the sample to be

    asked by Robyn on April 22, 2010
  26. CALCULUS

    If you could give an explenation with the answers, that'd be wonderful so I actually know how to solve similar problems in the future. :) Thank you so much! 1. A convex lens with focal length f centimeters will project the image of an object on a point

    asked by Samantha on November 10, 2013
  27. physics

    A converging lens is 50cm away from the object. if the distance of the image from the object is 120cm and greater than four times the focal length of the lens, what is the focal length of the said lens?

    asked by sofia on March 8, 2014
  28. Physics

    The focal length of the objective of a telescope is 0.2 m and the eyepiece has a focal length of 1.6 m. What is the length of the telescope? A. 1.8 m B. 1.4 m C. 1.6 m D. .90 m E. 8.0 m

    asked by Kristin on January 20, 2013
  29. physics

    The focal length of objective of a telescope is 0.2 m and the eyepiece has a focal length of 1.6 m. What is the length of this telescope? A) 8.0 m B) 1.4 m C) 1.6 m D) 1.8 m

    asked by dianna on May 30, 2013
  30. Physics Help Please --- Telescope

    An astronomical refracting telescope is made from two lenses. the objective lens has a focal length of 114 cm, and the eyepiece lens has a focal length of 17 cm. a) What is the total length of the telescope? b) What is the angular magnification of the

    asked by Tanya on May 2, 2015
  31. physics

    Procedure 1: Forming Real Images with a Converging Lens a) Obtain the focal length f of the small converging lens by focusing the image of a distant light bulb on the cardboard screen. Mount the lens and the screen on the meter stick. Position the screen

    asked by titu on April 17, 2015
  32. physics

    Galileo's first telescope used a convex objective lens with a focal length f = 1.65 m and a concave eyepiece. When this telescope is focused on an infinitely distant object, and produces an infinitely distant image, its angular magnification is +3.11. What

    asked by Samantha on February 14, 2015
  33. Physics

    An object is placed 11.3 cm to the left of a diverging lens of focal length -6.51 cm. A converging lens of focal length 11.6 cm is placed a distance of d to the right of the diverging lens. Find the distance d that places the final image at infinity.

    asked by Rachel on September 11, 2015
  34. UV

    the two lenses in contact are 45 cm away from the object and the distance of the object from the image is 110 cm. if one of the two lenses in contact has a focal length of 15cm, what is the focal length of the second lens? thanks :)

    asked by Melissa on March 8, 2014
  35. Lenses

    If you were to use a green laser beam to measure the focal length, would you get the same value? Does your answer bear on chromatic aberration in which a white object is focused as a somewhat blurred color image? If two lenses have exactly the same

    asked by Blind on January 29, 2009
  36. physics

    Hi! could any help me please, thank you. 1.An object is placed 17.8 cm from a first converging lens of focal length 13 cm. A second converging lens with focal length 24 cm is placed 10 cm to the right of the first converging lens. (Take the direction to

    asked by Chan on April 18, 2010
  37. physics

    A telescope that has a 100 cm focal length objective and a 3.00 cm focal length eyepiece. Find the distance between the objective and eyepiece lenses in the telescope needed to produce a final image very far from the observer, where vision is most relaxed.

    asked by Ashton on October 31, 2014
  38. Physics ( optics)

    A simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = +41.7 cm. Precisely 36.1 cm behind this lens is a concave lens with a focal length f2 = -13.9 cm. The object to be photographed is 4.06 m in front of the

    asked by Rudi on September 17, 2010
  39. Physics

    A simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = +41.7 cm. Precisely 36.1 cm behind this lens is a concave lens with a focal length f2 = -13.9 cm. The object to be photographed is 4.06 m in front of the

    asked by Rudi on September 20, 2010
  40. Physics

    A simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = +41.7 cm. Precisely 36.1 cm behind this lens is a concave lens with a focal length f2 = -13.9 cm. The object to be photographed is 4.06 m in front of the

    asked by Rudi on September 20, 2010
  41. Physics

    The Question is: An objective lens of a telescope has a 1.90 m focal length. When viewed through this telescope, the moon appears 5.25 times larger than normal. How far apart are the objective lens and the eyepiece when this instrument is focused on the

    asked by Daisy on September 14, 2017
  42. physics

    A parallel beam of light is incident on diverging lens of focal length 12cm. The emergent beam passes through a converging lens of focal length 20cm placed coaxial with it. The beam which finally emerges from the converging lens,comes out parallel. What is

    asked by Jorel on March 19, 2013
  43. Science Important

    1. A toy of height 18.4 cm is balanced in front of a converging lens. An inverted, real image of height 33 cm is noticed on the other side of the lens. What is the magnification of the lens? 2. A convex lens or a magnifying glass is held 2.00 cm above a

    asked by Ramandeep on January 5, 2010
  44. Physic please help!

    A converging lens has a focal length of 0.060 m. An object is located 0.020 m to the left of this lens. A second converging lens has the same focal length as the first one and is located 0.100 m to the right of it. Relative to the second lens, where is the

    asked by Mary on October 26, 2007
  45. physics

    A box is placed 50 cm away from a double convex lens. The image is on the opposite side of the lens, is inverted and 50 cm away from the lens. find: a)the focal length of the lens. b)the height of the image. c) using the focal length that you found, how

    asked by kate on May 30, 2013
  46. interior decorateor

    Which of the following statements is correct regarding the design concept of emphasis? A. Focal points in a room's architecture must be emphasized with contrasting colors. B. A focal point can't be established in a setting where formal balance is used. C.

    asked by lucy on August 24, 2016
  47. physics

    Please, anyone help me please. Q: An object is placed 17.8 cm from a first converging lens of focal length 13 cm. A second converging lens with focal length 24 cm is placed 10 cm to the right of the first converging lens. (Take the direction to the right

    asked by Chan on April 19, 2010
  48. Physics: Lenses

    1) A convex lens with a focal lenght of 4.0cm is placed 20.0cm from a concave lens with a focal lenght of 5.0cm. Find the position of the image when the object is placed 12.0c, in front of the convex lens. 2) A double concave lens has a refractive index of

    asked by Anonymous on March 23, 2009
  49. science optics

    A cosmetic mirror is 50cm from your face and the magnified image of your face is upright. You are told that the focal length of the mirror is 45cm. Explain why this focal length is not possible. I understand that the image would be magnified and

    asked by lily on March 28, 2010
  50. Physics

    A lighted candle is placed 38 cm in front of a diverging lens. The light passes through the diverging lens and on to a converging lens of focal length 10 cm that is 5 cm from the diverging lens. The final image is real, inverted, and 19 cm beyond the

    asked by Ali on August 3, 2015
  51. physics

    here is my problem: a concave mirror forms a real image at 17.0 cm from the mirror surface along the principal axis. if the corresponding object is at a distance of 36.0 cm, what is the mirror's focal length? here's my work: 1/f = 1/v + 1/u where f=focal

    asked by physics on March 12, 2009
  52. physics

    here is my problem: a concave mirror forms a real image at 17.0 cm from the mirror surface along the principal axis. if the corresponding object is at a distance of 36.0 cm, what is the mirror's focal length? here's my work: 1/f = 1/v + 1/u where f=focal

    asked by physics on March 11, 2009
  53. physics

    here is my problem: a concave mirror forms a real image at 17.0 cm from the mirror surface along the principal axis. if the corresponding object is at a distance of 36.0 cm, what is the mirror's focal length? here's my work: 1/f = 1/v + 1/u where f=focal

    asked by physics on March 11, 2009
  54. Physics

    Optics/Lens problem. Is the image real or virtual? A converging lens of focal length f1 = +22 .5cm is placed at a distance d = 60 .0cmtotheleft of a diverging lens of focal length f2 = −30.0cm. An object is placed on the common optical axis of the two

    asked by Anon on March 21, 2018
  55. Calculus

    For the parabola y^2=4px, where p, the focal length, is a constant, the focal point, f(p,0), is on the x-axis. Point S is 10 units from the point F and the segment SF makes a 60degree angle with the x-axis. The slope of segment TF is twice the negative of

    asked by Anon on May 11, 2014
  56. physics

    (a) A concave spherical mirror forms an inverted image different in size from the object by a factor a > 1. The distance between object and image is d. Find the focal length of the mirror. (Use any variable or symbol stated above as necessary.) (b) Suppose

    asked by Bisi urgent on March 17, 2016
  57. physics

    A concave spherical mirror forms an inverted image different in size from the object by a factor a > 1. The distance between object and image is d. Find the focal length of the mirror. (Use any variable or symbol stated above as necessary.) (b) Suppose the

    asked by Anonymous on March 16, 2016
  58. physics

    An object is located 30 cm to the left of a converging lens whose focal length is 50 cm. (a) Draw a ray diagram to scale and from it determine the image distance and the magnification. (b) Use the thin lens and magnification equations to verify your answer

    asked by Daniel on March 20, 2012
  59. Physics

    A lens with a focal length of 25 cm is placed 45 cm in front of a lens with a focal length of 5.0 cm. a) How far from the second lens is the final image of an object infinitely far from the first lens? b) Is the image in part a in front of or behind the

    asked by Cassie on February 23, 2013
  60. marymount academy

    1.An object 2.5cm high is placed 10cm from a converging lens. if the local length of the lens is 5cm, a. How far from the lens will the image be formed? b. How high is the image formed? c. What is the total magnificatio of the object? 2. A terrestrial

    asked by gabriel sam responso on November 23, 2012
  61. Science

    When people buy astronomical telescopes, they have an option to buy a set of eyepieces to go with it. If Fred bought a telescope with an objective with a focal length of 2000 mm, and eyepieces with focal lengths of 40 mm, 16 mm, and 8 mm, then what

    asked by Erika on June 20, 2012
  62. Physics

    Hi guys, I'm a little stuck on this question I'm doing at the moment. If anyone has spare time, I'd be extremely grateful! A lens with 50-cm focal length produces a real image the same size as the object. a)How far from the lens is the object? b)How far

    asked by Tommy on March 18, 2015
  63. Physics

    Ordinary glasses are worn in front of the eye and usually 2.00 cm in front of the eyeball. A certain person can see distant objects well, but his near point is 60.0 cm from his eyes instead of the usual 25.0 cm. Suppose that this person needs ordinary

    asked by Kyle on May 29, 2012
  64. Physics

    Ordinary glasses are worn in front of the eye and usually 2.00 cm in front of the eyeball. A certain person can see distant objects well, but his near point is 60.0 cm from his eyes instead of the usual 25.0 cm. Suppose that this person needs ordinary

    asked by Kyle on May 28, 2012
  65. Physics

    Ordinary glasses are worn in front of the eye and usually 2.00 cm in front of the eyeball. A certain person can see distant objects well, but his near point is 60.0 cm from his eyes instead of the usual 25.0 cm. Suppose that this person needs ordinary

    asked by Kyle on May 28, 2012
  66. physics 2

    A concave mirror has a focal length of 27.0 cm. The distance between an object and its image is 46.5 cm. Find the object and image distances, assuming the following. (a) that the object lies beyond the center of curvature do = di = (b) that the object lies

    asked by Anne on April 10, 2012
  67. physics

    A converging lens of focal length 7.740 cm is 19.7 cm to the left of a diverging lens of focal length -5.51 cm. A coin is placed 18.2 cm to the right of the diverging lens. a. Find the location of the coin's final image. b. Find the magnification of the

    asked by marisol on January 28, 2012
  68. physics

    An object is placed in front of a concave mirror, 16.0 cm from the mirror's focal point. The image formed by the mirror is two times farther away from the focal point. Calculate the focal length of the mirror. There are actually two possible image

    asked by Ted on February 12, 2015
  69. physics

    Camera lenses are described in terms of their focal length. A 50.0 mm lens has a focal length of 50.0 mm. (a) A camera with a 50 mm lens is focused on an object 4.0 m away. Locate the image. (b) A 980 mm lens is focused on an object 125 m away. Locate the

    asked by A on May 14, 2013
  70. Physics

    Camera lenses are described in terms of their focal length. A 50.0 mm lens has a focal length of 50.0 mm (a) A camera with a 50 mm lens is focused on an object 4.0 m away. Locate the image. (b) A 980 mm lens is focused on an object 125 m away. Locate the

    asked by Danny on May 21, 2013
  71. science

    what combination of mediums will produce a stright line of light? how do you correct for hyperopia? how do you correct for myopia? what kind of people have an astigmatism? what part of the eye act as a lens and what part acts as a screen? how do different

    asked by lily on March 3, 2013
  72. PHYSICS 2 - LENSES

    A 75 cm tall object is positioned 80 cm from a bi-concave lens with a focal length of 90 cm. **now i tried doing the problems, i just need feed back on if its correct or not. **** 1. calculate the distance where the image is formed Used lens equation:

    asked by Maria on April 29, 2018
  73. calculus problem

    the thin lens equation in physics is 1/s+1/S=1/f where s is the object distance from the lens,S is the image distance from the lens,and f is the focal length of the lens.Suppose that a certain lens has a focal length of 6cm and that an object is moving

    asked by roslin on October 27, 2010
  74. science

    an object of 3cm length is placed 5cm away from thin converging lens. The image formed by the lens is upright, virtual and of length 5cm by a ray diagram, determine the focal length of the lens

    asked by Richards on August 7, 2018
  75. SCIENCE: GR.10 OPTICS CONVEX MIRRORS

    A convex security mirror has a focal length of -0.25m. A person with a height of 1.5m is 4m from the mirror. calculate the image distance and image height. AND An object 0.4m tall is placed 2.5m in front of a convex mirror that has a focal length of -90cm.

    asked by lily on March 28, 2010
  76. physics

    1)A 5.0 cm real object is placed at a distance of 30.0 cm from a concave mirror of focal length 10.0 cm. Find the location of the image. (30)(10)/5.0 15 or (30)(5.0)/10 60 I don't know which one 2)What must be the minimum height of a plane mirror so that a

    asked by Jon on April 7, 2008
  77. physics

    With a focal length of 10 cm, and D zero is 20, 15, 25, and 5, what is the D one

    asked by Kelli Kenyon on May 30, 2011
  78. Physics

    A object is placed before a converging lens. calculate the image formed if the lens as focal length of 15cm also determine the magnification of the length.

    asked by Pauline on April 9, 2018
  79. physics

    A typical red blood cell subtends an angle of only 1.7×10−5 rad when viewed at a person's near-point distance of 25 cm. Suppose a red blood cell is examined with a compound microscope in which the objective and eyepiece are separated by a distance of

    asked by Hannah on April 22, 2016
  80. physics

    A typical red blood cell subtends an angle of only 1.7×10−5 rad when viewed at a person's near-point distance of 25 cm. Suppose a red blood cell is examined with a compound microscope in which the objective and eyepiece are separated by a distance of

    asked by jacob on April 21, 2016
  81. Physics 11

    Confused about the formula (1/-f)= (1/do)+(1/-di) For locating an image for a convex mirror. A rose is placed 15cm in front of a convex mirror of focal length 10cm. Determine the location of the image using the mirror equation. (1/-10)=(1/15)+(1/-di)

    asked by Kayla on June 18, 2017
  82. Science

    What should be the focal length of a double concave length 60 that an object placed 25 cm from it will produce 3/4 times large as the object?

    asked by Lyra on July 23, 2014
  83. physics

    A convex lens with a focal length of 20 cm is placed in front of a convex mirror with a focal length of 7.5 cm. A luminous object is placed in front of the convex lens at a distance of 40 cm from it. What is the distance between the mirror and the lens to

    asked by Samm on October 5, 2016
  84. Physic

    what is the focal length of a plane mirrior which is 4m tall?

    asked by Daniel on June 9, 2011
  85. Physics

    Define the focal length of a convex mirror?

    asked by Dylan on December 14, 2010
  86. physics

    1)A convex mirror of focal length 10 cm forms an upright and magnified image of a real object placed at a distance of 20 cm from the mirror. false 2)A concave mirror of focal length 10 cm forms an upright and diminished image of a real object placed at a

    asked by Jon on April 7, 2008
  87. Physics

    The left face of a biconvex lens has a radius of curvature of magnitude 12.8 cm, and the right face has a radius of curvature of magnitude 17.9 cm. The index of refraction of the glass is 1.45 a) Calculate the focal length of the lens for light incident

    asked by Jessica on May 16, 2017
  88. Physics

    If you had to straighten out a refracted ray that went through a lens with a focal length of +15 cm, what could you do?

    asked by Angela on November 25, 2008
  89. convex mirrors

    he focal length of a convex mirror is -20 cm. What is the radius of the curvature?

    asked by Anonymous on September 2, 2014
  90. science

    If you are given a magnifying glass. What two methods could you use to find its focal length?

    asked by rabia on June 4, 2008
  91. physics

    Where must an object be placed to have a magnification of 3.74 in front of a converging lens of focal length 14.1 cm?

    asked by mark on April 11, 2012
  92. Physics

    What happens to the focal length of a converging lens as the radius of curvature is increased?

    asked by Anonymous on March 5, 2017
  93. science

    You wish to obtain a magnification of -2 from a convex lens of focal length f. The only possible solution is to?

    asked by steve on March 17, 2016
  94. Physics

    What is the image distance of a 4 cm tall object placed 40 cm from a concave mirror having a focal length of 10 cm? -13.3 cm 13.3 cm -40.0 cm 40.0 cm

    asked by Huh? on October 25, 2012
  95. physics

    A 8.20 cm tall object is placed 30.0 cm in front of a concave mirror with a focal length of 4.20 cm. What is the magnification?

    asked by TP on November 10, 2011
  96. Physics

    What is the magnification of a 4 cm tall object placed 40 cm from a concave mirror having a focal length of 10 cm? 0.33 -0.33 1.33 -1.33 I'm thinking B.

    asked by Fleur on October 25, 2012
  97. physics

    A 0.49 cm high object is placed 8.5 cm in front of a diverging lens whose focal length is -7.5 cm. What is the height of the image?

    asked by rodney on April 17, 2013
  98. physics

    when two lenses of focal length +10cm and -5cm are placed in contact then find the net power ?

    asked by Raj Mohan Jha on February 3, 2015
  99. Physics

    A 3 cm flower is placed 40 cm from a converging lens with a focal length of 15 cm. What are the orientation, size and type of the image?

    asked by Jesha on April 20, 2013
  100. Physics

    Where must an object be placed to have a magnification of 3.74 in front of a converging lens of focal length 14.1 cm? Answer in units of cm

    asked by John on April 12, 2012