Simple Pendulum

Q.

It takes 0.2 s for a pendulum bob to move from mean position to one end. What is the time period of pendulum ?

Q.

Name two factors on which the time period of a simple pendulum depends . Write the relation for the time period in terms of the above named factors.

Q.

The slope of $T^2$ vs $l$ graph for a simple pendulum is___.

1. $\frac{2{\pi }^4}{g}$

2. $\frac{4{\pi }^2}{g}$

3. $\frac{4\pi }{g^2}$

4. $\frac{4\pi }{g}$

Q.

How much time does the bob of a seconds' pendulum take to move from one extreme of its oscillation to the other extreme ?

Q.

A simple pendulum completes 40 oscillations in one minute. Find its (a) frequency, (b) time period.

Q.

A pendulum clock loses 12 seconds a day if the temperature is ${40}^{\circ }C$ and goes fast by 4 seconds a day if the temperature is ${20}^{\circ }C$. Find the temperature at which the clock will show correct time, and the coefficient of linear expansion of the metal of the pendulum shaft.

1. 26°C; 1.25 × 10^-5/°C

2. 20°C; 1.55 × 10^-5/°C

3. 25°C; 1.85 × 10^-5/°C

4. 22°C 1.75/°C

Q.

What is a seconds' pendulum?

Q. What is the time period of a seconds' pendulum?

1. 1 s
2. 2 s
3. 0.5 s
4. 4 s

Q.

Define the terms : (i) oscillation, (ii) amplitude, (iii) frequency, and (iv) time period as related to a simple pendulum.

Q.

What is the effective length of a second's pendulum for a place where g = 9.8 $m{s}^{-2}$? [Given: The time period of a seconds' pendulum = 2 s]

1. 0.5 m

2. 1 m

3. 2 m

4. 4 m

Q.

The time period T of a simple pendulum is related to its length l as

1. $T\propto l$

2. $T\propto l^2$

3. $T^2\propto \sqrt{l}$

4. $T^2\propto l$

Q. While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period. His percentage error in the measurement of g by the relation $g=4{\pi }^2\left(\frac{l}{T^2}\right)$ will be

1. 2%
2. 4%
3. 10%
4. 7%

Q.

A pendulum oscillates 40 times in 4 seconds. Find its time period and frequency

Q.

What would be the time period of a simple pendulum at the centre of the Earth?

1. Same as that on the surface of the Earth

2. Zero

3. Infinite

4. Can’t be determined

Q.

If the time period of a two meter long simple pendulum is $2s$, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:

1. $2{\pi }^{2}m{s}^{-2}$

2. $16m{s}^{-2}$

3. $9.8m{s}^{-2}$

4. ${\pi }^{2}m{s}^{-2}$

Q.

A sonometer wire of length$1.5m$ is made of steel. The tension in it produces an elastic strain of $1\%$. What is the fundamental frequency of steel if the density and elasticity of steel are $7.7\times {10}^{3}kg/m^3$ and $2.2\times {10}^{11}N/m^2$ respectively?

1. $188.5Hz$

2. $178.2Hz$

3. $200.5Hz$

4. $770Hz$

Q.

The frequency of oscillation of a seconds pendulum is ___$s^{-1}$ or Hz

Q.

The time period of a simple pendulum is 2 s. What is its frequency ? What name is given to such a pendulum ?

Q.

A lead bullet penetrates into a solid object and melts. Assuming that 50% of its kinetic energy was used to heat it, calculate the initial speed of the bullet. The initial temperature of the bullet is ${27}^{\circ }C$ and its melting point is ${327}^{\circ }C$. Latent heat of fusion of lead = $2.5\times {10}^{4}Jk{g}^{-1}$ and specific heat capacity of lead = $125Jk{g}^1{K}^1$.

1. 500 m/s

2. 5000 m/s

3. 100 m/s

4. 1000m/s

Q.

Name two factors on which the time period of a simple pendulum does not depend.

Q.

The time periods of two simple pendulums at a place are in ratio 2 : 1. What will be the ratio of their length ?

Q. A pendulum clock that keeps correct time on the earth is taken to the moon. It will run

1. 6 times faster
2. $\sqrt{6}$ times faster
3. $\sqrt{6}$times slower

Q.

Two simple pendulums A and B have length 1.0 m and 4.0 m respectively at a certain place. Which pendulum will make more oscillations in 1 minute ? Explain your answer.

Q.

Sundial is a device that measures time.

1. True

2. False

Q.

How do you find the acceleration of a pendulum?

Q.

The time period of oscillation depends on the mass or material of the body suspended (i.e., bob).

1. True

2. False

Q.

What is the maximum displacement of bob of a pendulum from mean position called?

1. Amplitude

2. Period

3. Frequency

Q.

The length of a simple pendulum is made one fourth. Its time period becomes:

1. one-fourth

2. double

3. half

4. four times

Q.

The time period of a simple pendulum on earth is 2 s. What will be the time period of same pendulum when it is brought on moon? (Value of g at moon is 1/6 of value of g at earth’s surface:

1. 4.9 s

2. 6 s

3. 4.2 s

4. 4 s

Q.

The pendulum used in a clock is a___pendulum.