List of top Questions asked in MET

In which one of the following pairs the radius of the second species is greater than that of the first?
Acidity of phenol is due to ________.
The root mean square velocity of a gas is doubled when the temperature is ________.
Saturated vapour is compressed to half its volume without any change in temperature, then the pressure will be
If two waves represented by $y₁=4 \sin ω t$ and $y₂=3 \sin(ω t+\frac\pi3)$ interfere at a point. The amplitude of the resulting wave will be about
With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is $\frac23$ of the weight?
When a number of small droplets combines to form a large drop, then
A constant torque acting on a uniform circular wheel changes its angular momentum from $A₀$ to $4A₀$ in 4s. The magnitude of this torque is
Two identical masses m moving with velocities $u₁$ and $u₂$ collide perfectly inelastically. Find the loss in energy.
X-ray of wavelength \( \lambda = 2 \, \dot{A} \) is emitted from the metal target. The potential difference applied across the cathode and the metal target is
In Young's double slit experiment, slit separation is 0.6 mm and the separation between slit and screen is 1.2 m. The angular width is (the wavelength of light used is 4800 \( \dot{A} \))
If the momentum of a body is increased by 100%, then the percentage increase in the kinetic energy is
A body of weight 2 kg is suspended as shown in figure. The tension $T₁$ in the horizontal string (in kg-wt) is
Two springs of force constants $k₁$ and $k₂$ are connected as shown. The effective spring constant k is
Two parallel plates of area A are separated by two different dielectrics as shown in figure. The net capacitance is
A stone is thrown at an angle to the horizontal reaches a maximum height H. Then the time of flight of stone will be
In the figure shown, $m₁=10~kg$, $m₂=6$ kg, $m₃=4~kg$. If $T₃=40~N,$ $T₂=?$}
A rod of length L and mass M is bent to form a semicircular ring as shown in figure. The moment of inertia about XY is
An electron of an atom transits from $n₁$ to $n₂$. In which of the following, maximum frequency of photon will be emitted?
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?
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
Current in a coil changes from 5 A to 10 A in 0.2 s. If the coefficient of self-induction is 10 H, then the induced emf is
In the reaction \( {}_7N^{14} + \alpha \longrightarrow {}_8X^{17} + {}_1p^1 \), identify \( X \).
If \( z = \tan(y + ax) + \sqrt{y} - ax \), then \( z_{xx} - a^2 z_{yy} \) is equal to
If $\int f(x)dx=F(x)$, then $\int x³f(x²)dx$ is equal to