List of top Questions asked in MET- 2014

A biconvex lens forms circular image of sun of radius \(r\). Find relation with focal length \(f\).
Graph of image position \(v\) vs object position \(u\) for convex lens is given. Find focal length.
Two blocks \(A(2m)\) and \(B(m)\) are connected and suspended by a spring. Find accelerations just after cutting the string.
A magnet makes 40 oscillations per minute at a place with \(B_H = 0.1\times10^{-5}T\). At another place, time period is 2.5 s. Find \(B_H\) there.
Coercivity \(=4\times10^3 A/m\). Solenoid: 500 turns, length 1 m. Find current needed to demagnetise.
Given \(R_1=1\Omega,\ R_2=2\Omega,\ C_1=2\mu F,\ C_2=4\mu F\). Find time constants for circuits I, II, III.
A square loop of side \(a\) carries current \(i\). Find magnetic field at centre.
Two \({}^{64}Cu\) nuclei touch each other. Find electrostatic repulsive energy.
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.
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
Nucleus emits \(\alpha\)-particle. Find recoil speed of daughter nucleus.
When \({}^{228}_{90}Th\) transforms to \({}^{212}_{83}Bi\), find number of \(\alpha\) and \(\beta\) particles emitted.
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 \(10^{-6}m^2\)).
Work done in increasing capacitor voltage from 5V to 10V is \(W\). Find work from 0V to 5V.
De-Broglie wavelength of neutron at \(27^\circ C\) is \(\lambda\). Find at \(927^\circ C\).
Liquid is filled in a flask. On heating, what happens to liquid level?
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}
Two particles execute SHM with same amplitude and frequency. When displacement is half amplitude, find phase difference.
In the circuit shown, find voltmeter reading.
For a real gas, variation of \(\frac{pV}{RT}\) with pressure \(p\) is shown. Identify correct curve.
Strain vs stress curves for wires \(P, Q, R\). Which is correct?
Pressure-volume relation: jar A has \(V,T\); jar B has \(V/4,2T\). Find ratio of number of molecules.
Two identical vessels contain gases at \(T_0, P_0\). One heated to \(2T_0\). Find pressure \(P\) and number of moles \(n\).