List of top Questions asked in COMEDK UGET

A particle executes a simple harmonic motion of amplitude A. The distance from the mean position at which its kinetic energy is equal to its potential energy is:
A body of mass 5 kg at rest is rotated for 25 s with a constant moment of force 10 Nm. Find the work done if the moment of inertia of the body is 5 kg m$^2$.
A cell of emf E and internal resistance r is connected to two external resistances R1 and R2 and a perfect ammeter. The current in the circuit is measured in four different situations:
Select the unit of the coefficient of mutual induction from the following.
A 500 W heating unit is designed to operate on a 400 V line. If line voltage drops to 160 V, the percentage drop in heat output will be:
What is the relation obeyed by the angles of contact $ \theta_1 $, $ \theta_2 $ and $ \theta_3 $ of 3 liquids of different densities $ P_1 $, $ P_2 $, and $ P_3 $ respectively $ (P_1<P_2<P_3) $ when they rise to the same capillary height in 3 identical capillaries and having nearly the same surface tension $ T $?

The figure shows a network of five capacitors connected to a 20 V battery. Calculate the charge acquired by each 10 µF capacitor.

The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (velocity of sound = 340 ms$^{-1}$)
A cylinder of fixed capacity 44.81 contains hydrogen gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by 20° C? $ (R = 8.31 \, \text{J mol}^{-1} \, \text{K}^{-1}) $

A transformer of 100% efficiency has 200 turns in the primary and 40000 turns in the secondary. It is connected to a 220 V main supply and secondary feeds to a 100 K$\Omega$ resistance. The potential difference per turn is

Incident light of wavelength $ \lambda = 800 \, \text{nm} $ produces a diffraction pattern on a screen 1.5 m away when it passes through a single slit of width 0.5 mm. The distance between the first dark fringes on either side of the central bright fringe is

Column - I lists the waves of the electromagnetic spectrum. Column - II gives approximate frequency range of these waves. Match Column - I and Column - II and choose the correct match from the given choices.

The latent heat of vaporisation of water is 2240 J. If the work done in the process of vaporisation of 1 g is 168 J, the increase in internal energy is
Two narrow parallel slits illuminated by a coherent monochromatic light produces an interference pattern on a screen placed at a distance $ D $ from the slits. The separation between the dark lines of the interference pattern can be increased by
When a biconvex lens of glass of refractive index 1.5 is dipped in a liquid, it acts like a plane sheet of paper. This means the refractive index of the liquid is

In the A.C. circuit given below, voltmeters $ V_1 $ and $ V_2 $ read 100 V each. Find the reading of the voltmeter $ V_3 $ and the ammeter A.

Four resistors, each of resistance $ R $, are connected as shown in the figure below.

The conductivity of a semiconductor increases with increase in temperature because
A ball is moving in a circular path of radius 5 m. If tangential acceleration at any instant is $10 \, \text{m/s}^2$ and the net acceleration makes an angle of $30^\circ$ with the centripetal acceleration, then, the instantaneous speed is
A satellite is revolving around the earth in a circular orbit with kinetic energy of $1.69 \times 10^{10}$ J. The additional kinetic energy required for just escaping into the outer space is
When an A.C. source is connected to a inductive circuit,
The resistance of a 10 m long wire is 10 $ \Omega $. Its length is increased by 25\% by stretching the wire uniformly. The new resistance is
A wire of length 2 m carries a current of 1 A along the x axis. A magnetic field $ \mathbf{B} = B_0 (i + j + k) $ tesla exists in space. The magnitude of the magnetic force on the wire is
The temperature of a wire is doubled. The Young's modulus of elasticity

Figure below shows a lens of refractive index, $ \mu = 1.4 $. $ C_1 $ and $ C_2 $ are the centres of curvature of the two faces of the lens of radii of curvature 4 cm and 8 cm respectively. The lens behaves as a