1. | \(16U\) | 2. | \(2U\) |
3. | \(4U\) | 4. | \(8U\) |
1. | \(1\times 10^{5}\) J | 2. | \(36\times 10^{7}\) J |
3. | \(36\times 10^{4}\) J | 4. | \(36\times 10^{5}\) J |
1. | \(23500\) | 2. | \(23000\) |
3. | \(20000\) | 4. | \(34500\) |
A particle of mass \(4M\) kg at rest splits into two particles of mass \(M\) and \(3M.\) The ratio of the kinetic energies of mass \(M\) and \(3M\) would be:
1. | \(3:1\) | 2. | \(1:4\) |
3. | \(1:1\) | 4. | \(1:3\) |
A block of mass \(m\) is moving with initial velocity \(u\) towards a stationary spring of stiffness constant \(k\) attached to the wall as shown in the figure. Maximum compression of the spring is:
(The friction between the block and the surface is negligible).
1. | \(u\sqrt{\frac{m}{k}}\) | 2. | \(4u\sqrt{\frac{m}{k}}\) |
3. | \(2u\sqrt{\frac{m}{k}}\) | 4. | \(\frac12u\sqrt{\frac{k}{m}}\) |
1. | \(\mathrm{W}_1=\mathrm{W}_2=\mathrm{W}_3\) | 2. | \(\mathrm{W}_1>\mathrm{W}_2>\mathrm{W}_3\) |
3. | \(\mathrm{W}_1>\mathrm{W}_3>\mathrm{W}_2\) | 4. | \(\mathrm{W}_1<\mathrm{W}_2<\mathrm{W}_3\) |
Assertion (A): | When a firecracker (rocket) explodes in mid-air, its fragments fly in such a way that they continue moving in the same path, which the firecracker would have followed, had it not exploded. |
Reason (R): | Explosion of cracker (rocket) occurs due to internal forces only and no external force acts for this explosion. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | (A) is false but (R) is true. |