List of top Questions asked in MET- 2016

A solenoid of 2.5 m length and 2.0 cm diameter possesses 10 turns per cm. A current of 0.5 A is flowing through it. The magnetic induction at axis inside the solenoid is:
In an L-C-R circuit, which one of the following statements is correct?
A particle moves along X-axis from $x=0$ to $x=5$ cm under the influence of force $F=(7-2x+3x²)$ N. The work done is:
A sphere of mass m moving with constant velocity u hits another stationary sphere of the same mass. If e is the coefficient of restitution, the ratio of velocities ($v₁/v₂$) after collision will be:
The molar specific heat of oxygen at constant pressure $Cp=7.03$ cal/mol and $R=8.31$ J/mol. Heat taken by 5 moles from $10^\circC$ to $20^\circC$ at constant volume is approximately:
The half-life of $²15$At is 100 $μ$s. The time taken for the radioactivity of a sample of this nucleus to decay to $\frac116$th of its initial value is
A mass m is placed on a wedge (triangular block) of mass M. The wedge moves on a smooth horizontal surface. What should be the force F applied on the wedge to the right, so that m remains stationary with respect to wedge? (Ignore any friction)
A block of mass 1 kg slides down a curved track that is one quadrant of a circle of radius 1 m. Speed of the block at the bottom is 2 m/s. Work done by the frictional force on the block when it reaches at the bottom is
In the arrangement, the minimum value of tension in the string to prevent it from sliding down is
In a planetary motion, the areal velocity of position vector of a planet depends on angular velocity ($ω$) and distance ($r$) of the planet from the sun. The correct relation for areal velocity $\fracdAdt$ is
Two blocks A and B are placed one over the other on a smooth horizontal surface. The maximum horizontal force that can be applied on the upper block B, so that A and B move without separation is 49N. The coefficient of friction between A and B is
In the system shown in figure $M₁ > M₂$ and pulley and threads are ideal. System is held at rest by thread BC. Just after thread BC is burnt.
A thin walled glass sphere of radius 2.5 cm is filled with water. An object (O) is placed at 7.5 cm from the surface of the sphere. Neglecting the effect of glass wall, at what distance the image (I) of the object, measured from the centre of sphere is formed?
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy $E₀$, its potential energy is
Two junction diodes one of germanium (Ge) and other of silicon (Si) are connected as shown in figure to a battery of emf 12 V and a load resistance 10 k$Ω$. The germanium diode conducts at 0.3 V and silicon diode at 0.7 V. When a current flows in the circuit, then the potential of terminal Y will be
Fifty six tuning forks are arranged in a series such that each fork gives 6 beats per second with the preceding one. Assuming the frequency of the last fork to be double of the first fork, the frequency of the last fork should be
The wavelength of incident light falling on a photosensitive surface is changed from 2000 Å to 2100 Å. The corresponding change in stopping potential is
The path difference between two waves $y₁ = a₁ \sin\left(ω t - \frac2π xλ\right)$ and $y₂ = a₂ \cos\left(ω t - \frac2π xλ + φ\right)$ is
In photoelectric effect, the photo current
A copper ball of radius r is moving with a uniform velocity v in the mustard oil and the dragging force acting on the ball is F. The dragging force on the copper ball of radius 2r with uniform velocity 2v in the mustard oil is
In a photoemissive cell with exciting wavelength $λ$, the fastest electron has a speed $v$. If the exciting wavelength is changed to $\frac34λ$, then the speed of the fastest emitted electron will be
A block of wood of side 40 cm floats in water in such a way that its lower face is 5 cm below the free surface of water. What is the weight of the block?
A stone is projected from the ground with velocity 50 m/s at an angle 30° with horizontal. It crosses a wall after 3 s. How far beyond the wall the stone will strike the ground? ($g = 10 m/s²$)
An iron cube floats in a vessel containing mercury at $20^\circ C$. If the temperature is increased by $100^\circ C$, then the cube will float
In Young’s double slit experiment, when wavelength used is 600 Å and the screen is 40 cm from the slits, then the fringes are 0.012 cm apart. What is the distance between the slits?