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.

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.

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.

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.

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

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.

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.