1. | \( \dfrac{T}{12} \) | 2. | \(\dfrac{5 T}{12} \) |
3. | \( \dfrac{7 T}{12} \) | 4. | \(\dfrac{2 T}{3}\) |
The time period of a spring mass system at the surface of earth is 2 second. What will be the time period of this system on the moon where acceleration due to gravity is of the value of g on earth's surface?
1. | \(\frac{1}{\sqrt{6}} ~\mathrm{seconds} \) | 2. | \(2 \sqrt{6}~ \mathrm{seconds} \) |
3. | \(2~ \mathrm{seconds} \) | 4. | \( 12~\mathrm{ seconds}\) |
1. | \(\pi \) | 2. | \(2 \pi \) |
3. | \(4 \pi \) | 4. | \(6 \pi\) |
A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector \(\vec a\) is correctly shown in:
1. | 2. | ||
3. | 4. |
1. | \(2A,A\) | 2. | \(4A,0\) |
3. | \(A,A\) | 4. | \(0,2A\) |
1. | The motion is oscillatory but not SHM. |
2. | The motion is SHM with an amplitude \(a\sqrt{2}\). |
3. | The motion is SHM with an amplitude \(\sqrt{2}\). |
4. | The motion is SHM with an amplitude \(a\). |
1. | 2. | ||
3. | 4. |
A block \(P\) of mass \(m\) is placed on a frictionless horizontal surface. Another block \(Q\) of same mass is kept on \(P\) and connected to the wall with the help of a spring of spring constant \(k\) as shown in the figure. \(\mu_s\) is the coefficient of friction between \(P\) and \(Q\). The blocks move together performing SHM of amplitude \(A\). The maximum value of the friction force between \(P\) and \(Q\) will be:
1. \(kA\)
2. \(\frac{kA}{2}\)
3. zero
4. \(\mu_s mg\)