List of top Questions asked in MET- 2010

In the figure shown, $m₁=10~kg$, $m₂=6$ kg, $m₃=4~kg$. If $T₃=40~N,$ $T₂=?$}
The force of interaction between two charges $q₁=6μ C$ and $q₂=2μ C$ is 12 N. If charge $q=-2μ C$ is added to each of the charges, then the new force of interaction is
The number of turns in primary coil of a transformer is 20 and the number of turns in the secondary is 10. If the voltage across the primary is 220 V, what is the voltage across the secondary?
When the amplitude of a body executing SHM becomes twice what happens?
The time period of a geostationary satellite at a height 36000 km is 24 h. A spy satellite orbits earth at a height 6400 km. What will be the time period of spy satellite? [Radius of the earth = 6400 km]
A bomb of mass 9 kg explodes into two parts. One part of mass 3 kg moves with velocity 16 m/s, then the KE of the other part is
A string fixed at both ends oscillates in 5 segments, length 10 m and velocity of wave is 20 m/s. What is the frequency?
Two pendulums have time periods T and 5T/4. They start SHM at the same time from the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation?
A disc of radius 0.1 m is rotating with a frequency 10 rev/s in a normal magnetic field of strength 0.1 T. Net induced emf is
A gas is suddenly expanded such that its final volume becomes 3 times its initial volume. If the specific heat at constant volume of the gas is 2R, then the ratio of initial to final pressures is nearly equal to
A body is coming with a velocity of 72 km/h on a rough horizontal surface of coefficient of friction 0.5. If the acceleration due to gravity is $10~m/s²$, find the minimum distance it can be stopped.
A bullet comes out of the barrel of gun of length 2 m with a speed 80 m/s. The average acceleration of the bullet is
A convex lens is placed between object and a screen. The size of object is 3 cm and an image of height 9 cm is obtained on the screen. When the lens is displaced to a new position, what will be the size of image on the screen?
A beam of light is incident at $60^\circ$ to a plane surface. The reflected and refracted rays are perpendicular to each other then refractive index of the surface is
The peak value of an alternating emf E given by $E=E₀ \cosω t$ is 10 V and its frequency is 50 Hz. At a time $t=\frac1600s$, the instantaneous value of the emf is
A circuit area 0.01 $m²$ is kept inside a magnetic field which is normal to its plane. The magnetic field changes from 2 T to 1 T in 1 ms. If the resistance of the circuit is 2 $Ω$. The amount of heat evolved is
A ball rolls off the top of stairway with a horizontal velocity of magnitude $1.8~m/s$. The steps are 0.20 m high and 0.20 m wide. Which step will the ball hit first?
Two wires of lengths l and 2l, radii r and 2r respectively having same Young's modulus are hung with a weight mg. Net elongation is
A body of mass 10 kg is moving with a constant velocity of $10~m/s.$ When a constant force acts for 4 s on it, it moves with a velocity $2~m/s$ in the opposite direction. The acceleration produced in it is
An ideal gas expands along the path AB as shown in the p-V diagram. The work done is
Two bulbs 40 W and 60 W and rated voltage 240 V are connected in series across a potential difference of 420 V. Which bulb will work at above its rated voltage?
If force is proportional to square of velocity, then the dimensions of proportionality constant is
Two cars A and B move along a concentric circular path of radius $rA$ and $rB$ with velocities $VA$ and $VB$ maintaining constant distance, then $\fracVAVB}$ is equal to
The current in the circuit shown in the figure, considering ideal diode is
The tension in the string in the pulley system shown in the figure is