Physics Test - ...

A paramagnetic sample shows a net magnetisation of \(6 {A} / {m}\) when it is placed in an external magnetic field of \(0.4 {T}\) at a temperature of \(4 {K}\). When the sample is placed in an external magnetic field of \(0.3 {T}\) at a temperature of \(24 {K}\), then the magnetisation will be:

The molar heat capacity of a gas at constant volume is found to be \(8 \mathrm{cal} / \mathrm{mol}-\mathrm{K}\). Find the ratio \(\gamma=\mathrm{C}_{p} / \mathrm{C}_{v}\) for the gas? The gas constant \(\mathrm{R}=4 \mathrm{cal} / \mathrm{mol}-\mathrm{K}\).

A circuit has a section \(A B\) as shown in the figure. The emf of the source equals \(E=10 V\), the capacitor capacitances are equal to \(C_{1}=1.0 \mu F\) and \(C_{2}=2.0 \mu F\) and the potential difference \(V_{A}-V_{B}=5.0 V\). Find the voltage across each capacitor.

There are two points P and Q on a planar rigid body. The relative velocity between the two points:

A rod of length \(l\) and radius \(\mathrm{r}\) is joined to a rod of length \(\frac l2\) and radius \(\frac r2\) of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of \(\theta\), the twist angle at the joint will be:

If the speed of rotation of earth about its axis increases, then the weight of the body at the equator will ___________.

A smooth sphere of mass \(m\) strikes a second sphere of mass \(2m\) which is at rest. After the collision their directions of motion are at right angles. Then the coefficient of restitution is:

Dimension of Planck's constant is similar to:

Which of the following is used in a magnifying glass?

Practically, the work output of a machine is _______ the work input due to the effect of friction.