Physics Test - ...

The length of a second’s pendulum is:

If the time of flight of a projectile is doubled, what happens to the maximum height attained?

The iron blade has a ring in which the wooden handle is fixed. The ring is slightly smaller in size than a wooden handle. The ring is heated. When the ring cools, it ______________ and tightly fits on the handle.

A screw gauge has the least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is:

Four identical hollow cylindrical columns of mild steel support a big structure of mass \(50 \times 10^3 kg\). The inner and outer radii of each column are \(50 cm\) and \(100 cm\), respectively. Assuming, uniform local distribution, calculate the compression strain of each column.

[Use, \(Y =2.0 \times 10^{11} Pa , g=9.8 m / s ^2\) ]. 

α-particle consists of :

\(l\) One end of a string of length \(m\) is tied to a particle of mass and the other end to a peg on a smooth horizontal table. If the particle moves in a circle with a speed \(v\), then the net force on the particle (directed towards the centre) is:

In the given circuit, charge \(\mathrm{Q}_{2}\) on the \(2 \mu \mathrm{F}\) capacitor changes as \(\mathrm{C}\) is varied from \(1 \mu \mathrm{F}\) to \(3 \mu \mathrm{F} . \mathrm{Q}_{2}\) as a function of \(\mathrm{C}\) is given properly by:

If Electric field intensity of a uniform plane electromagnetic wave is given as \(\mathrm{E}=-301.6 \sin (\mathrm{kz}-\omega \mathrm{t}) \mathrm{a}_{\mathrm{x}}+452.4 \sin (\mathrm{kz}-\omega \mathrm{t}) \hat{\mathrm{a}_{\mathrm{y}}} \frac{\mathrm{V}}{\mathrm{m}}\). Then magnetic intensity ' \(\mathrm{H}\) ' of this wave in \(\mathrm{Am}^{-1}\) will be: [Given : Speed of light in vacuum \(\mathrm{c}=3 \times 10^8 \mathrm{~ms}^{-1}\), Permeability of vacuum . \(\left.\mu_0=4 \pi \times 10^{-7} \mathrm{NA}^{-2}\right]\)