Friday

July 1, 2016
Number of results: 4,732

**Math**

The electrical resistance of a wire waves directly as its length & inversely as the square of its diameter if a wire 30m long and 0.75mm in diameter has a resistance of 25ohms , find the length of a wire of the same material whose resistance is 30ohms whose diameter is 1.25mm ...
*January 29, 2016 by Helena*

**Physics**

A hydraulic lift in the shape of the letter U, two pistons are formed, one with a larger diameter and other with a smaller. If the diameter of the smaller piston is 4.0 cm and the diameter of the larger piston is 40.0 cm, what weight can the larger piston support when a force ...
*November 25, 2009 by Sarah*

**college physics**

how fast does the level of water in a full 2m high, 10cm diameter tank reduces when a 4cm diameter hole is opened at the bottom?
*June 22, 2010 by josh*

**physics**

A brass ring of diameter 10.00 cm at 19.9°C is heated and slipped over an aluminum rod of diameter 10.01 cm at 19.9°C. Assume the average coefficients of linear expansion are constant. (a) To what temperature must the combination be cooled to separate the two metals? (c) What ...
*April 25, 2010 by Kelsey*

**Math - Please check!**

1. Find the circumference of a circle with a diameter of 11 cm to the nearest hundredth. Measurement formula C = pi x diameter a. 34.54 cm *** b. 17.27 cm c. 5.5 cm d. 33 cm 2. Which of the following is an irrational number? a. square root 144 b. 0.25 c. square root 17 *** d. ...
*April 14, 2016 by Carlos*

**Scientific Notation**

The point on a pin has a diameter of about 1 * 10^-4 meters. If an atom has a diameter of 2 * 10^-9 meters, about how many atoms could fit across the diameter of the point of a pin?
*April 13, 2015 by Anonymous*

**college algebra**

The electrical resistance of a wire of a given material varies as its length and inversely as the square of the diameter. if a wire 300 feet long and 0.05 inches in diameter has a resistance of 30 ohms, (a) find the resistance of a wire which is 1000 feet long and 0.02 inch in...
*April 5, 2016 by Sam*

**Physics**

You have a brass ring of inside diameter 10.00 cm that is at 20.0oC. You want to slip this ring over an aluminum rod that is at 20.0oC and has a diameter of 10.01 cm. a. To what temperature do you have to heat the ring to slip it over the rod? b. Once you have the ring over ...
*December 4, 2014 by David*

**Stats**

The Ledd Pipe Company has received a large shipment of pipes, and a quality control inspector wishes to estimate the average diameter of these pipes. A random sample of 18 pipes produces an average diameter of 2.56 mm with a standard deviation of 0.05 mm. You may assume that ...
*November 28, 2012 by Matt*

**maths-mensuration**

The boy having a gold coin of diameter 2cm and thickess 2mm to a goldsmith for melting and drawing into a wire of diameter 1mm . the gold smith gave back a wire of gold of length 76cm with diameter 1mm. if the wastage allowed in melting could be a maximum of 5% of the total ...
*March 10, 2013 by anoynomous*

**physics**

A pulley with diameter D = 27in weighs 80 lb. It is mounted on a diameter d = 2-in axle. A weight of 1000 lb is to be lifted. If the coefficient of friction f = 0.1, what vertical pull force P will be needed?
*April 20, 2012 by Teri*

**Chemistry**

Calculate the kinetic energy change in the water that occurs when 10,000lb/hr flow in a pipe that is reduced from a diameter of 2 in. to a diameter to 1 in. Any ideas on solving this? The answer is 2.7 lbf*ft.
*November 7, 2014 by Xavier*

**geometry **

Given: BD is a diameter m 1 = 100°m BC = 30° m 2 = ?degrees Given: BD is a diameter m 1 = 100°m BC = 30° m 3 = ? degrees Given: BD is a diameter m 1 = 100°m BC = 30° m 4 =? degrees Given: BD is a diameterm 1 = 100°m BC = 30° m AD = ?degrees Given: BD is a diameter m 1 = 100°m ...
*June 21, 2011 by terri*

**5th grade math **

The diameter of a penny is 3/4 in. How many pennies are needed to form a row 12in. long? Also to find the circumference of a circle do you use the radius or diameter x 3.14?
*December 7, 2010 by jill *

**astronomy**

If we represent the sun as volleyball (diameter =65cm)how far away would be find earth in this model? Note the suns actual diameter is 1.4x10^9 meters.
*January 16, 2013 by kristy*

**math**

A motor pulley 8 inches in diameter and runs at 450 revolutions per minute.Find the diameter of the fan if the RPM's is 1,400? Round to the nearest hundredth.
*June 8, 2015 by kevin*

**MATH HELP MS SUE OR SOMEONE **

Is the following statement true or false? Justify your answer using what you know about diameters and chords. Every diameter of a circle is a chord. True. Every diameter of a circle is a chord. This is true because every diameter passes through the center of a circle.
*January 25, 2016 by GoldenSparkleGirl*

**physics**

The diameters of Earth and the Sun are approximately 1.3 107 m and 1.4 109 m respectively, and the average Sun-Earth distance is 1.5 1011 m. Consider a scale model of the solar system, where Earth is represented by a peppercorn 2.3 mm in diameter. Calculate the diameter of ...
*January 28, 2009 by kj*

**AP Calculus BC**

A cylindrical tank is constructed to have a diameter of 5 meters and a height of 20 meters. Find the error in the volume if: (a) the diameter is exact but the height is 20.1 meters (b) the height is exact, but the diameter is 5.1 meters.
*April 14, 2010 by J'vonte*

**Algebra II**

The resistance of a wire is inversely proportional to the square of its diameter. If an AWG (American wire gauge) size 12 conductor (0.0808-in. diameter) has a resistance of 14.8, what will be the resistance of an AWG size 10 conductor (0.1019-in. diameter) of the same length ...
*November 21, 2011 by Arielle*

**diameter**

if the sum of the diameters of two circles is 28 inches one circle has a diameter that is 8 inches longer than the diameter of the other what are the diameters of the two circles
*January 24, 2011 by seth*

**math**

Is the following statement true or false? Justify your answer using what you know about diameters and chords. Every diameter of a circle is a chord. True. Every diameter of a circle is a chord. This is true because every diameter passes through the center of a circle.
*January 25, 2016 by GoldenSparkleGirl*

**Algebra joint, inverse and direct variation **

Urgent! If t varies inversely as the cube of z and directly as the square of r, and t=4 when z=3 and r=6, find t when z=6 and r=9. T= k (square) r/(cubed) z 4=k (square) 6/ (cubed) 3 The electrical conductance of a wire varies directly as the square of its a diameter and ...
*February 20, 2016 by George Smith*

**stats**

Particles are a major component of air pollution in many areas. It is of interest to study the sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is...
*February 3, 2011 by Lucy*

**geometry**

Gasoline Containers Mark Russo has two right cylindrical containers for storing gasoline. One has a diameter of 10 in. and a height of 12 in. The other has a diameter of 12 in. and a height of 10 in. a. Which container holds the greater amount of gasoline, the taller one...
*April 20, 2011 by Nette*

**Physics**

Look up or derive the frequencies of the standing waves of a length of wire, L, clamped at the ends and under tension. What are the similarities and differences between a vibrating string and a resonating pipe? Does the diameter of the wire matter? Does the diameter of the ...
*February 8, 2007 by Krys*

**Rational Expressions Algebra**

Electronics The electrical resistance (r) of a cable varies directly (y=kx) as its length (l) and inversely (y= k/x) as the square of its diaeter (d). If a cable 16,000 ft long and 1/4 in. in diameter has a resistance of 3.2 ohms, what is the resistance of a cable that is ...
*July 21, 2007 by Tammy*

**Algebra**

If t varies inversely as the cube of z and directly as the square of r, and t=4 when z=3 and r=6, find 9. T= k (square) r/(cubed) z 4=k (square) 6/ (cubed) 3 The electrical conductance of a wire varies directly as the square of its a diameter and inversely as its length. The ...
*February 20, 2016 by George*

**Algebra**

If t varies inversely as the cube of z and directly as the square of r, and t=4 when z=3 and r=6, find 9. T= k (square) r/(cubed) z 4=k (square) 6/ (cubed) 3 The electrical conductance of a wire varies directly as the square of its a diameter and inversely as its length. The ...
*February 20, 2016 by George*

**Statics**

A log of diameter D is available to be used as a beam carrying a uniformly distributed load of 400#/ft over a length of 32 feet. Determine the required diameter D necessary if Fb=1,200psi and Fv=100psi.
*December 7, 2011 by Jon*

**Physics**

The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom. The diameter of the atom is proportional to n^2, where n=1 labels the lowest or "ground" state, n=3 is the thrid state, and so on. If the atom's diameter is 1 x 10^(-10)m in its ...
*November 16, 2009 by Lauren *

**physics**

The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom. The diameter of the atom is proportional to n2, where n=1 labels the lowest, or “ground” state, n=3 is the third state, and so on. If the atom’s diameter is 1x10-10m in its lowest ...
*November 6, 2007 by Will*

**Physics**

The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom. The diameter of the atom is proportional to n2, where n=1 labels the lowest or “ground” state, n=3 is the third state, and so on. If the atom’s diameter is 1x10-10m in its lowest ...
*July 1, 2010 by Richard*

**math**

how do you work out a radius and diameter dont know at all there is a circle with the number 5mm and they want me to tell them what the radius is and the diameter
*January 25, 2011 by t.c*

**Math**

How much more crust does a large pizza with a diameter of 12 inches have than a small pizza with an 8-inch diameter?
*March 6, 2012 by Jon*

**Math**

A bicycle has a 100 cm diameter wheel. If you ride on and around a circle with a 10 km diameter 12 times, how many revolutions does the wheel make?
*December 6, 2013 by Xian*

**Physics**

A piston, A, has a diameter of .87 cm. A second piston, B, has a diameter of 5.6 cm. Determine the Force "F" necessary to support the 850 N weight in the absence of friction.
*March 2, 2011 by Cassie*

**fluid mechnics**

A 1 diameter pipe with volumetric flow rate of 1 m³/s has a constriction down to half the original diameter.what is the velocity in the constriction.
*May 12, 2016 by Benjamin Aidoo junior*

**Math**

Find the volume of the cylinder. The formula for the volume is V=Pr^2h but it give a diameter. Does this mean first I divided the diameter by 2?
*November 9, 2009 by Anonymous*

**Math**

Janet has a circular garden in her front yard with a diameter of 8 feet. How does the diameter d compare to the circumference C of the garden? F) D = 1/3C G) D = 1/2C H) D = 2C I) D = 3C
*March 8, 2012 by Maria*

**astonomy**

If 100 asteriods, each of diameter of 100 km, were combined into a single object, approximately what would its diameter be?
*March 11, 2012 by Andrea*

**Math**

Janet has a circular garden in her front yard with a diameter of 8 feet. How does the diameter d compare to the circumference C of the garden? f) d = 1/3C g) d = 1/2C h) d = 2C i) d = 3C
*March 28, 2012 by Mickaela HELP ME PLEASEEEE*

**physics**

two copper wires A and B are of the same length. If the diameter of A is 3 mm and its resistance is 3 ohms, what is the diameter of B if its resistance is 0.08 ohm ?
*May 19, 2014 by yhojsgarcia*

**physics**

The moon's diameter is 3.48 106 m, and its mean distance from the earth is 3.85 108 m. The moon is being photographed by a camera whose lens has a focal length of 48.5 mm. (a) Find the diameter of the moon's image on the slide film. (b) When the slide is projected onto a ...
*April 17, 2014 by Anonymous *

**Science**

Which of the following materials will burn the fastest in open air? A. a log, two feet in diameter B. two logs, each one foot in diameter C. a pile of small splinters made from a two-foot diameter log D. Both logs and the splinters will burn at the same rate.
*March 8, 2012 by Samantha*

**Science**

Which of the following materials will burn the fastest in open air? A. a log, two feet in diameter B. two logs, each one foot in diameter C. a pile of small splinters made from a two-foot diameter log D. Both logs and the splinters will burn at the same rate.
*March 12, 2012 by Samantha*

**math**

A cross section of a hollow circular pipe shows that its inner diameter is 2 1/10 inches and that the pipe is 3/5 inch thick. What is its outside diameter?
*March 23, 2011 by JUNIOR C*

**math**

a cross section of a hollow circular pipe shows that its inner diameter is 2 1/10inches and that the pipe is 3/5inch thick. what is the outside diameter
*April 18, 2011 by rachel*

**Statics**

An aluminum wire has a diameter of d in. Determine the minimum diameter D of the coil in which the wire can be wound without exceeding a bending stress of 30,000psi
*April 23, 2012 by Mary*

**calculus**

if a snowball melts so that its surface area decreases at a rate f 1cm^2/min, find the rate at which the diameter decrease when the diameter is 10cm?
*October 25, 2013 by Briasn-Ismael vargas*

**physics**

A tennis ball has a mass of 58 g and a diameter of 8 cm. Find the moment of inertia about its diameter. Assume that the ball is a thin spherical shell.
*January 22, 2015 by Johnathan*

**hydraulic**

a cylinder has a 3" diameter and a 1-7/8" diameter rod with 800psi. what is the force output of the cylinder extending and retracting
*December 7, 2012 by john R.*

**Math**

Juan says the diameter of circle with a radius of 8 inches is 4 inches. What is his error? What is the correct diameter?
*January 16, 2013 by Ryan*

**math**

A garden hose has an outside diameter of 1 1/4 inches. Its inside diameter is 1 inch. How thick is the hose?
*May 29, 2013 by agoda*

**Physics**

A hypothesis says the upper limit in frequency a human ear can hear can be determined by the diameter of the eardrum, which should have approximately the same diameter as the wavelength at the upper limit. Using the hypothesis what would be the radius of the eardrumfor a ...
*February 21, 2010 by Maddy*

**physics**

The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom. The diameter of the atom is proportional to n2, where n = 1 labels the lowest, or "ground" state, n = 2 is the second state, n = 3 is the third state, and so on. If the atom's ...
*August 4, 2011 by stacy*

**physics**

A spherical steel ball bearing has a diameter of 2.540 cm at 23°C. (a) What is the diameter when its temperature is raised to 106°C? (b) What temperature change is required to increase its volume by 0.8%?
*November 30, 2009 by Kim*

**physics**

A piston, A, as shown below, has a diameter of 0.54 cm. A second piston, B has a diameter of 3.8 cm. Determine the force, F, necessary to support the 500.0 N weight in the absence of friction.
*February 17, 2011 by Nataliya*

**math**

a drinking glass 5 inches tall has a 2.5 inch diameter base. its sides slope upward at a 4 degree angle. what is the diameter of the top of the glass?
*February 3, 2014 by john*

**Precalculus**

A drinking glass 5 inches tall has a 2.5 inch diameter base. Its sides slope outward at a 4 degree angle. What is the diameter of the top of the glass?
*February 9, 2014 by eliguti*

**Calculus 1**

A spherical snowball melts in such a way that its surface area decreases at a rate of 1 cm2/min. Find the rate at which its diameter is decreasing when the diameter is 10 cm
*July 3, 2014 by Celia*

**MATH**

I NEED HELP WITH FINDING THE FORMULA FOR PROBLEMS DEALING WITH RADIUS AND DIAMETER. The radius is 12 in and the diameter is 4 in.
*June 5, 2011 by kayla*

**geometry**

The sum of the diameter of 2 circles is 28". Once circle has a diameter that is 8" longer. What are the diameters of each circle?
*June 2, 2014 by cyn*

**Torque and shear stress**

A solid shaft of 65mm outside diameter and a hollow shaft of 85mm outside diameter are connected by 6 bolts with the mean pitch of thread being 155mm. The shear stress due to the torque on the shafts is equal to the shear stress on the bolts. a) Find the diameter of the bolts...
*March 22, 2009 by Henri*

**physics**

1.An elastic cord is 5.0m long and 1.0cm in diameter and acts as a spring with spring constant 70 N/m, what is the young's modulus for this material? 2.A heavy uniform beam of mass 8000 kg and length 2.0m is suspended at one end by a nylon rope of diameter 2.5 cm and at the ...
*March 15, 2010 by Sandhya*

**math**

Anna is covering a circular pool with a cover for winter. The pool's diameter is 24 feet. The cover extends 12 inches beyond the edge of the pool, and a rope runs along the edge of the cover to hold it in place. What is the area of the cover? What is the length of the rope. I ...
*February 25, 2016 by Rosella Jonson*

**astronomy**

The great galaxy in Andromeda has an angular diameter along its long axis of about 5 degree. Its distance is about 2.2 millons light years. What is its linear diameter.
*March 27, 2010 by b*

**Astronomy**

The great galaxy in Andromeda has an angular diameter along its long axis of about 5 degree. Its distance is about 2.2 million light years. What is its linear diameter?
*March 29, 2010 by BB*

**physic**

Hi! help me please, Thank you. A spherical steel ball bearing has a diameter of 2.540 cm at 23°C. (a) What is the diameter when its temperature is raised to 94°C? cm (b) What temperature change is required to increase its volume by 0.9%? I only need help on part b.Thank
*December 1, 2009 by Chan*

**Physics**

A hollow spherical iron shell floats almost completely when submerged in water. The outer diameter is 50.0cm, and the density of iron is 7.87g/cm^3. Find the inner diameter.
*July 10, 2013 by Hui*

**Geo**

A plane P cuts O in a circle that has diameter 20. If the diameter of the sphere is 30, how far is the plane from O?
*March 2, 2011 by Anonymous*

**college Algebra**

Diameter of a circle.If the diameter of a circle is 1.3x10^-12 meters,then what is it's radius?
*July 1, 2010 by Lisa*

**Math**

The volume of a cylinder is 1256 meters. The height is 13 meters. Diameter is x. What is the diameter?
*February 27, 2011 by MathLover*

**physics**

A bicycle has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Calculate: a) the speed of a link of the chain ...
*November 4, 2008 by Mischa*

**math**

a model of a solid structure in the shape of frustum of a cone with hemispherical top. The diameter of the hemispherical part is 70 cm and is equal to the diameter of the top of the frustum. The frustum has a base diameter of 28 cm and slant height of 60 cm.) (a) The area of ...
*March 13, 2015 by kudu*

**another EM**

Magnetic resonance imaging needs a magnetic field strength of 1.5 T. The solenoid is 1.8 m long and 75 cm in diameter. It is tightly wound with a single layer of 2.50-mm-diameter superconducting wire. What size current is needed? Thanks in advance
*March 31, 2008 by Spencer*

**algebra**

The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.81 inch
*March 8, 2012 by mj*

**Statistics**

The diameter of an electric cable is normally distributed, with a mean of 0.7 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.71 inch?
*June 1, 2013 by Anonymous*

**statistics**

The diameter of an electric cable is normally distributed, with a mean of 0.7 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.71 inch?
*June 1, 2013 by Anonymous*

**math**

The diameter of an electric cable is normally distributed, with a mean of 0.6 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.61 inch?
*March 4, 2014 by lorine*

**calc**

a pie dish has base diameter 8 inches and top diameter 10 inches and height 2 inches. what is the volume of the disk? do I do it so cross sections are squares? help!! Thanks!
*April 3, 2008 by laura*

**Physics**

Can someone help me with this, i have started it but cant get it to work out. The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom. The diameter of the atom is proportional to n2, where n=1 labels the lowest, or “ground” state, n=3 is ...
*November 10, 2007 by Aaron*

**math**

how do you find the diameter of a circle if you don't have the radius? the circumference is 628 cm. Divide the circumference by pi, which is 3.14 (approximately). That will give you the diameter. Circumference = pi * D
*February 15, 2007 by prince*

**physics**

A coin 1.9 cm in diameter is held 40 cm from a concave spherical mirror of 30 cm radius of curvature. Locate the image of the coin Then what is the diameter of coin?
*November 10, 2011 by TP*

**Physics**

A liquid of density 1.23 × 103 kg/m3 flows steadily through a pipe of varying diameter and height. At location 1 along the pipe the flow speed is 9.23 m/s and the pipe diameter is 1.07 × 101 cm. At location 2 the pipe diameter is 1.71 × 101 cm. At location 1 the pipe is 9.37 m...
*November 14, 2013 by Ashley*

**Science**

Give two advantages that a telescope lens or mirror of large diameter has over one of small diameter More light gathering ability Because of this, will give higher resolution at increased power
*February 1, 2007 by Don*

**Math**

If the diameter of a monster truck tire is 3.5 m and it makes one rotation every 5 seconds, how far does the tire roll in 1 minute? Diameter 3.5 radius: 3.5/2 = 1.75 12(2pi x 1.75) =131.9 m the book states that its 263.89 m? What did I do wrong?
*January 19, 2012 by jake*

**Math**

the ratio of circumference of a circle to its diameter is 22:7. what is the circumference of a curcle of the diameter 15.6m?
*April 15, 2013 by Silvanus*

**Math**

the diameter of the pizza was 14 inches. What was the ratio of the radius to the diameter of the pizza?
*December 3, 2013 by Sandy*

**physics **

What is the pressure change in water going from a 3.0- cm-diameter pipe to a 1.8- cm-diameter pipe if the velocity in the smaller pipe is 3.0 m/s? Im using the equation pv2^2(A2^2-A1^2)/2A1^2 and get (1000)(3)^2(1.8^2-3^20/(2(3)^2) and get -2880 Pa but I'm getting wrong? Thanks
*November 30, 2009 by Andy *

**science/maps**

Earths diameter is about 13,000 Kilometers. If a globe has a diameter of 0.5 meter, write the globe's scale as a ratio. What distance on Earth would 1 centimeter on the globe represent?
*February 20, 2011 by linda*

**math**

The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.83 inch? (Give the answer to four decimal places.)
*August 30, 2011 by Anonymous*

**Math**

The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.83 inch? (Give the answer to four decimal places.)
*August 24, 2011 by Lee Ann*

**math**

The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.82 inch? (Give the answer to four decimal places.)
*August 24, 2011 by apryl*

**alegbra**

The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.82 inch? (Give the answer to four decimal places.)
*August 27, 2011 by apryl*

**algebra**

The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.81 inch? (Give the answer to four decimal places.)
*February 28, 2012 by Anonymous*

**math**

The diameter of an electric cable is normally distributed, with a mean of 0.8 inch and a standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.81 inch? (Give the answer to four decimal places.)
*June 9, 2012 by Anonymous*

**physics**

A thick, vertical iron pipe has an inner diameter of 0.070 m. A thin aluminum (α = 23x10-6 (C°)-1) disk, heated to a temperature of 89°C, has a diameter that is 4.4x10-5 m greater than the pipe's inner diameter. The disk is laid on top of the open upper end of the pipe, ...
*June 14, 2015 by ashley*

**Geometry**

I don't know how to draw or do this. A plane 5 cm from the center of a sphere intersects the sphere in a circle with diameter of 24 cm. Find the diameter of the sphere.
*March 27, 2008 by Anna*

**math**

A cylinder has a diameter of 80 cm and a length of 45 cm. Another cylinder has the same volume but is 80cm long. What is the diameter of the longer cylinder?
*February 21, 2011 by priya*