List of top Questions asked in MET- 2014

A short bar magnet is placed with its south pole towards geographical north. Neutral points are at 20 cm from centre. Given \(B_H = 0.3\times10^{-4}\,Wb/m^2\), find magnetic moment.

Two \({}^{64}Cu\) nuclei touch each other. Find electrostatic repulsive energy.

When \({}^{228}_{90}Th\) transforms to \({}^{212}_{83}Bi\), find number of \(\alpha\) and \(\beta\) particles emitted.

Nucleus emits \(\alpha\)-particle. Find recoil speed of daughter nucleus.

Fraction decayed in 6 days is \(7/8\). Find fraction decayed in 10 days.

Ratio of wavelengths for \(2\to1\) transition in Li\(^+\), He\(^+\), and H is

In photoelectric effect, if wavelength changes from \(\lambda\) to \(3\lambda/4\), how does max speed change?

Minimum intensity of light detectable is \(10^{-10}\,W/m^2\). Number of photons entering eye per second (\(\lambda=5.6\times10^{-7}m\), pupil area \(10^{-6}m^2\)).

De-Broglie wavelength of neutron at \(27^\circ C\) is \(\lambda\). Find at \(927^\circ C\).

Work done in increasing capacitor voltage from 5V to 10V is \(W\). Find work from 0V to 5V.

In the circuit shown, find voltmeter reading.

Two particles execute SHM with same amplitude and frequency. When displacement is half amplitude, find phase difference.

Two rods (one semi-circular and other straight) of same material and cross-section are joined. The ratio of heat transferred through semi-circular rod to straight rod is graphics[width=0.45\linewidth]{PHYSICS/QP21.png}

Liquid is filled in a flask. On heating, what happens to liquid level?

For a real gas, variation of \(\frac{pV}{RT}\) with pressure \(p\) is shown. Identify correct curve.

Two identical vessels contain gases at \(T_0, P_0\). One heated to \(2T_0\). Find pressure \(P\) and number of moles \(n\).

Pressure-volume relation: jar A has \(V,T\); jar B has \(V/4,2T\). Find ratio of number of molecules.

Two substances of densities \(\rho_1\) and \(\rho_2\) are mixed in equal volumes, mixture density = 4. When mixed in equal masses, density = 3. Find \(\rho_1, \rho_2\).

Several spherical drops (radius \(r\)) combine to form one drop (radius \(R\)). Find change in surface energy.

Strain vs stress curves for wires \(P, Q, R\). Which is correct?

A wheel rotates at \(20\,rad/s\) and stops in \(4s\). Find work done if \(I=0.20\,kg\,m^2\).

Four thin rods of same mass \(M\) and length \(l\) form a square. Find moment of inertia about axis through centre and perpendicular to plane.

A particle moves along x-axis under force \(F(x) = -kx + ax^2\). Find nature of potential energy graph.

A body \(A\) rests on smooth surface. Body \(B\) placed over \(A\) has coefficient of friction \(0.5\). Find force required to just move \(B\).