1.A student repeatedly measured the length of a simple pendulum and recorded the results in centimetre as: 36.9, 36.7, 36.8 and 36.6. What is the precision index of this measurement in cm?
0.108
36.75
0.054
0.0269
2 How would the final result of the repeated measurement of the diameter of a test-tube given as 3.69, 3.67, 3.68, 3.66 in cm be expressed?
3 Two lengths
m and
are obtained by measurement.
= ---------------
4 The length of each side of a cube measured with verier calipers is 30mm.If the vernier calipers can be read with an uncertainty of
m, what does this give for approximate uncertainty in the value of its volume?
1%
0.01%
0.02%
0.01%
5 Determine the error in the measurement of cosine of
6 The slope of the graph of
plotted on the vertical axis against l on the horizontal axis is used to determine the value of -----------
frequency
period
phase
acceleration due to gravity
7 One of the precuations in experiments involving the determination of the period of oscillation of simple pendulum given below is NOT correct
prevent draught
read values with the eye placed vertically above scale marks
start the stop watch simulteneuosly with the the release of the system to start oscillating
use small displacements from equilibrium position
8 In a simple pendulum experiment to determine inaccessible height,
was plotted on the vertical axis and h/cm on the horizontal axis. T is the period and h is the height of the pendulum bob from the floor. Which of the following gives the inaccessible height H?
slope of the graph
intercept on the vertical axis
inverse of slope of the graph
intercept on horizontal axis
9 In an experiment, 30 complete oscillations were made in 14 seconds. Determine the value of the square of the period,
10 What is the frequency of oscillation of a simple pendulum which makes 50 oscillations in 24.4 seconds?
0.23Hz
0.014Hz
0.488Hz
2.049Hz
11 Which of these is NOT true about the graph of
against h in an experiment to determine an inaccessible height H using the simple pendulum?
the slope of the graph is negative
the intercept on the horizontal axis is positive
the value of g is obtainable from the slope of the graph
the intercept on the vertical axis is negative
12 In an experiment involving the spiral spring, F is the resoring focrce and x the extension of the spring. The equation F = - kx gives the relationship between F and x. What does k measure in the experiment?
amplitude of oscillation
period oscillation
stiffness of the spring
velocity of the oscillation
13 In an experiment involving the spiral spring, F is the resoring focrce and x the extension of the spring. The equation F = - kx gives the relationship between F and x. The graph of F/N against x/cm -----------------
passes through the origin
has an intercept on the vertical axis
has an intercept on the vertical axis
has an intercept on the horizontal axis
14 In an experiment to determine the effective mass of a spiral spring, which of the following is not required in the set of apparatus?
spiral spring
stop watch
slot weights
pendulum bob
15 The equation of a simple harmonic oscillator may be written as
(the symbols have their usual meaning). In an experiment to determine the period of oscillation of a loaded spiral spring T, which of the following is the correct relationship between T and
?
16 In an experiment to determine the period of oscillation of a loaded spiral spring, the equation of a simple harmonic oscillator
, where the symbols have their usual meaning, was used. Write down the equation for the angular frequency
in terms of k and m.
17 In an experiment to determine the period of oscillation of a loaded spiral spring,
was plotted on the vertical axis and M on the horizontal axis. T is the period while M is the effective mass. Which of the following is CORRECT?
the slope of the graph gives the acceleration due to gravity, g
the inverse of the slope of the graph gives M
the intercept on the vertical axis of the graph gives M
the intercept on the horizontal axis of the graph gives M
18 In an experiment to determine the period of oscillation of a loaded spiral spring, which of the following is NOT a necessary precaution?
using small vertical displacements from equilibrium position to set the system in oscillation
repeating the timing of oscillations and finding the average
using small angular displacements from equilibrium position to set the system in oscillation
counting down to zero to start the stop watch in the timing of the oscillations
19 In an experiment to determine the surface tension of a liquid by the capillary rise method, the surface tension depends on all of the following EXCEPT------------
radius of the capillary tube
the height of the liquid column
density of liquid
compressibilty of liquid
20 In an experiment to determine the surface tension of water, the travelling microscope is used to determine -------------
external diameter of the capillary tube
height of the capillary rise of water in the tube
surface tension of water
density of water
Given
, then log P is plotted against log Q, the intercept is
log P
log Q
log k
n
2 The product of two measurements 1.23cm and 2.3cm should be rounded off as
2.8cm
2.80cm
2.800cm
2.8000cm
3 Errors that might result in measured values which are consistently too high or too low are called ----------- errors
random
zero
systematic
inherent
4 The simple pendulum experiment is used to determine an inaccessible height H using the relation
,where h is the height of the bob from the floor.The inaccessible height is obtainable from the -------------- of the graph of
plotted against h
slope
intercept
inverse of slope
inverse of intercept
5 In an experiment,measurements of variables were repeated in order to minimise -------------- error
systemtic
random
inherent
zero
6 A mass of 150g when hung on a spiral spring stretches it 40cm. Assuming the spring is Hookean, the period of oscillation of the mass when slightly displaced and released is ------------------ to 2 decimal places
1.27s
2.14s
1.37s
2.56s
7 A wooden block is at the verge of sliding freely down a wooden inclined plane when the inclination is 20degrees. The coeficient of limiting friction is --------------------- to 2 decimal places
0.56
0.36
0.24
0.11
8 The resulting temperature when 1kg of ice at 0 degrees Celcius is mixed with 9kg of water at 50 degress Celcius is ----------------------- to the nearest whole number.The specific capacity of water is 4200J/kg/K,the specific latent heat of fusion of ice is 330 000J/kg
24 degreees celcius
37 degreees celcius
46 degreees celcius
56 degreees celcius
9 When writing the results of an experimental observation in terms of significant digits, all non-zero digits are -----------------
significant
to be discarded
to be rounded off
to be truncated
10 An experiment which gives a straight line graph with positive intercepts on both axes of the graph has a ------------------- slope
positive slope
negative slope
zero slope
inverse slope
11 The slope of a graph is obtained from a suitable ---------------- drawn on the graph
triangle
axes
intercept
scale
12 The slope of the tangent to a curve which is parallel to the horizontal axis of the graph is ----------
zero
one
infinite
insignificant
13 In a simple pendulum experiment,
is plotted on the vertical axis while ------------- is plotted on the horizontal axis
l/cm
logl
14 To obtain a suitable spread of the plotted points on the graph paper, a suitable --------------- must be chosen for each axis of the graph
axis
scale
intercept
slope
15 If an oscillatory motion must be simple harmonic, the restoring force F must obey ------------------ law for small displacements from equilibrium position
Achimedes'
Kepler's
Hooke's
Newton's
16 The equation of a simple harmonic oscillator takes the form
. The symbols have their usual meaning . The equivalent of
in the case of a simple pendulum is -----------
1/l
g/l
l/g
g
17 In an experiment to verify Boyle's law, a student plotted P against 1/V. His graph is a ----------
straight line
hyperbola
parabola
circle
18 A simple pendulum made 50 oscillations in 22.3s. Find its period
0.45s
0.22s
1.22s
1.45s
19 The effect of reducing the length of a simple pendulum is to ----------
increase its period
decrease its frequency
increase its amplitude
increase its frequency
20 The equation of a simple harmonic oscillator takes the form
. The symbols have their usual meaning .If the experimentally obtained values of a are plotted on the vertical axis and x on the horizontal axis, the graph obtained --------
is a parabola
is a straight line that passes through the origin and has negative slope
is a straight line that passes through the origin and has positive slope
is a hyperbola
you gotta be kidding. Too many problems, and no indication of any work on your part.
The idea of this site is for students to post a typical problem that is troubling them. Then they get help, and can solve similar problems in the future.
If all these problems are impossible for you to even start on, you are clearly unprepared to take the class, either in attitude, competence, or preparation. Drop it now! Study Art History or something.
1. The precision index of the measurement can be calculated by finding the average of the measurements and then dividing it by the range of the measurements.
Average = (36.9 + 36.7 + 36.8 + 36.6)/4 = 36.75
Range = 36.9 - 36.6 = 0.3
Precision Index = Average/Range = 36.75/0.3 = 122.5
Therefore, the precision index of this measurement is 122.5.
2. The final result of the repeated measurement of the diameter of a test-tube would be expressed as the average of the measurements.
Average = (3.69 + 3.67 + 3.68 + 3.66)/4 = 3.675 cm
Therefore, the final result of the measurements would be expressed as 3.675 cm.
3. Two lengths, L1 and L2, obtained by measurement can be related using the formula L = L1 - L2.
4. The approximate uncertainty in the volume of the cube can be calculated by multiplying the uncertainty of the side length with the volume formula for a cube. Since the uncertainty of the vernier calipers is given as m, the approximate uncertainty in the value of its volume would be 0.01% (0.01/100).
5. The error in the measurement of cosine of an angle cannot be determined from the information given.
6. The slope of the graph of displacement (s) plotted on the vertical axis against time (t) on the horizontal axis is used to determine the value of velocity.
7. The precaution "read values with the eye placed vertically above scale marks" is not correct. The eye should be placed horizontally at the same level as the scale marks to avoid parallax errors.
8. In a simple pendulum experiment, if T (period) is plotted on the vertical axis and h (height) is plotted on the horizontal axis, the inaccessible height H can be determined from the slope of the graph.
9. The value of the square of the period (T^2) can be determined by squaring the value of the period (T). Since 30 complete oscillations were made in 14 seconds, the period can be calculated by dividing the total time by the number of oscillations.
T = 14/30 = 0.4667 seconds
T^2 = (0.4667)^2 = 0.2177 seconds^2
Therefore, the value of the square of the period is 0.2177 seconds^2.
10. The frequency of oscillation of a simple pendulum can be calculated by dividing the number of oscillations by the total time.
Frequency = Number of oscillations / Total time
Frequency = 50/24.4 = 2.049 Hz
Therefore, the frequency of oscillation is 2.049 Hz.
11. The intercept on the vertical axis is positive in the graph of displacement (s) against height (h) in an experiment to determine an inaccessible height H using a simple pendulum.
12. In an experiment involving a spiral spring, the constant k measures the stiffness of the spring.
13. The graph of restoring force (F) against extension (x) in an experiment involving a spiral spring passes through the origin.
14. The pendulum bob is not required in the set of apparatus for an experiment to determine the effective mass of a spiral spring.
15. The correct relationship between the period of oscillation (T) and the angular frequency (ω) in an experiment to determine the period of oscillation of a loaded spiral spring is T = 2π/ω.
16. The equation for the angular frequency (ω) in terms of the spring constant (k) and the mass (m) in an experiment to determine the period of oscillation of a loaded spiral spring is ω = √(k/m).
17. In an experiment to determine the period of oscillation of a loaded spiral spring, if T (period) is plotted on the vertical axis and M (effective mass) is plotted on the horizontal axis, the inverse of the slope of the graph gives the effective mass (M).
18. Counting down to zero to start the stopwatch in the timing of the oscillations is not a necessary precaution in an experiment to determine the period of oscillation of a loaded spiral spring.
19. The compressibility of the liquid does not affect the surface tension of a liquid in an experiment to determine the surface tension of a liquid by the capillary rise method.
20. The travelling microscope is used to determine the height of the capillary rise of water in the tube in an experiment to determine the surface tension of water.