In a simple pendulum, the period of oscillation T is related to length of the pendulum l as:
1. = constant
2. = constant
3. = constant
4. = constant
A pendulum has time period T. If it is taken on to another planet having acceleration due to gravity half and mass 9 times that of the earth, then its time period on the other planet will be:
1. | \(\sqrt{\mathrm{T}} \) | 2. | \(T \) |
3. | \(\mathrm{T}^{1 / 3} \) | 4. | \(\sqrt{2} \mathrm{~T}\) |
A simple pendulum hanging from the ceiling of a stationary lift has a time period T1. When the lift moves downward with constant velocity, then the time period becomes T2. It can be concluded that:
1. | \(T_2 ~\text{is infinity} \) | 2. | \(\mathrm{T}_2>\mathrm{T}_1 \) |
3. | \(\mathrm{T}_2<\mathrm{T}_1 \) | 4. | \(T_2=T_1\) |
If the length of a pendulum is made 9 times and mass of the bob is made 4 times, then the value of time period will become:
1. 3T
2. 3/2T
3. 4T
4. 2T
A particle is executing simple harmonic motion with frequency f. The frequency at which its kinetic energy changes into potential energy, will be:
1. f/2
2. f
3. 2 f
4. 4 f
An SHM has an amplitude \(a\) and a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
Two simple harmonic motions of angular frequency 100 rad s -1 and 1000 rad have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:10
2. 1:102
3. 1:103
4. 1:104
Which one of the following equations of motion represents simple harmonic motion? (where \(k\), \(k_0\), \(k_1\) and α are all positive.)
1. Acceleration = -\(k_0\)
2. Acceleration = -
3. Acceleration = k
4. Acceleration = kx
A body performs simple harmonic motion about x=0 with an amplitude a and a time period T. The speed of the body at will be:
1.
2.
3.
4.
The displacement of a particle along the x-axis is given by . The motion of the particle corresponds to:
1. | simple harmonic motion of frequency ω / π. |
2. | simple harmonic motion of frequency 3 ω / 2 π. |
3. | non-simple harmonic motion. |
4. | simple harmonic motion of frequency ω / 2 π. |