List of top Questions asked in MET- 2017

A force of 20 N acts on a body of mass 2 kg initially at rest. Find the work done in 2 s.
A 2 kg copper block is heated to 500\(^\circ\)C and is then placed on a large block of ice at 0\(^\circ\)C. If the specific heat capacity of copper is 400 J kg\(^{-1}\) \(^\circ\)C\(^{-1}\) and latent heat of fusion of water is \(3.5 \times 10^5\) J kg\(^{-1}\), the amount of ice that can melt is
A short solenoid of length 4 cm, radius 2 cm and 100 turns is placed inside and on the axis of a long solenoid of length 80 cm and 1500 turns. A current of 3 A flows through the short solenoid. The mutual inductance of two solenoids is
A voltmeter has resistance of \(G\) ohms and range \(V\) volts. The value of resistance used in series to convert it into a voltmeter of range \(nV\) volts is
The plane faces of two identical plano-convex lenses each having a focal length of 50 cm are placed against each other to form a usual biconvex lens. The distance from this lens combination at which an object must be placed to obtain a real, inverted image which has the same size as the object is
The angle of a prism is 60\(^\circ\) and its refractive index is \(\sqrt{2}\). The angle of minimum deviation suffered by a ray of light in passing through it is
The half-life period of radium is 1600 yr. The fraction of a sample of radium that would remain after 6400 yr is
The temperatures of two bodies \(A\) and \(B\) are respectively 727\(^\circ\)C and 327\(^\circ\)C. The ratio \(H_A : H_B\) of the rates of heat radiated by them is
If \(\alpha\) and \(\beta\) are the current gain in the CB and CE configurations respectively of the transistor circuit, then \(\dfrac{\beta - \alpha}{\alpha\beta}\) is
The ratio of the resistance of conductor at temperature 15\(^\circ\)C to its resistance at temperature 37.5\(^\circ\)C is 4:5. The temperature coefficient of resistance of the conductor is
In a gas, two waves of wavelengths 1 m and 1.01 m are superposed and produce 10 beats in 3 s. The velocity of sound in the medium is
The apparent frequency of the whistle of an engine changes in the ratio 9:8 as the engine passes a stationary observer. If the velocity of the sound is 340 m s\(^{-1}\), then the velocity of the engine is
The width of a single slit if the first minimum is observed at an angle 2\(^\circ\) with a light of wavelength 6980 \AA\ is
The momentum of a body is increased by 25%. The kinetic energy is increased by about
Water rises in a capillary tube to a height \(h\). Choose false statement regarding capillary rise from the following.
Force between two identical charges placed at a distance of \(r\) in vacuum is \(F\). Now a slab of dielectric of dielectric constant 4 is inserted between the charges. If the thickness of the slab is \(r/2\), then the force between the charges will become
An electric dipole is placed at an angle of 30\(^\circ\) with an electric field of intensity \(2 \times 10^5\) N C\(^{-1}\). It experiences a torque equal to 4 Nm. The charge on the dipole if the dipole length is 2 cm.
The surface area of a black body is \(5 \times 10^{-4}\) m\(^2\) and its temperature is 727\(^\circ\)C. The energy radiated by it per minute is (\(\sigma = 5.67 \times 10^{-8}\) J/m\(^2\)-s-K\(^4\))
Three blocks of masses \(m_1\), \(m_2\) and \(m_3\) are connected by massless strings as shown on a frictionless table. They are pulled with a force \(T_3 = 40\) N. If \(m_1 = 10\) kg, \(m_2 = 6\) kg and \(m_3 = 4\) kg, the tension \(T_2\) will be}
Two identical cells whether connected in parallel or in series gives the same current when connected to an external resistance 1.5 \(\Omega\). Find the value of internal resistance of each cell.
A string of density \(7.5\) g cm\(^{-3}\) and area of cross-section \(0.2\) mm\(^2\) is stretched under a tension of 20 N. When it is plucked at the mid-point, the speed of the transverse wave on the wire is
Two identical air core capacitors are connected in series to a voltage source of 15 V. If one of the capacitors is filled with a medium of dielectric constant 4, the new potential across this capacitor is