1.

A circular disc is rotating about its own axis. An external opposing torque 0.02 Nm is applied on the disc by which it comes rest in 5 seconds. The initial angular momentum of disc is

• $0.1\,kgm^2s^{-1}$
• $0.04\,kgm^2s^{-1}$
• $0.025\,kgm^2s^{-1}$
• $0.01\,kgm^2s^{-1}$

2.

A capillary tube of radius r is dipped inside a large vessel of water. The mass of water raised above water level is M. If the radius of capillary is doubled, the mass of water inside capillary will be

• 5M
• 2M
• \(\frac M4\)

• M

3.

Find the inverse of each of the matrices,if it exists \(\begin{bmatrix} 2 & 1 \\ 7 & 4  \end{bmatrix}\)

4.

Find the vector and the cartesian equations of the lines that pass through the origin and(5,-2,3).

5.

A boy of mass 50 kg is standing at one end of a, boat of length 9 m and mass 400 kg. He runs to the other, end. The distance through which the centre of mass of the boat boy system moves is

• 0
• 1 m

• 2 m

• 3 m

6.

For what values of x,\(\begin{bmatrix} 1 & 2 & 1 \end{bmatrix}\)\(\begin{bmatrix} 1 & 2 & 0\\ 2 & 0 & 1 \\1&0&2 \end{bmatrix}\)\(\begin{bmatrix} 0 \\2\\x\end{bmatrix}\)=O?