List of top Questions asked in COMEDK UGET

If $i = \sqrt{-1}$ and $n$ is a positive integer, then $i^n + i^{n+1} + i^{n+2} + i^{n+3}$ is equal to
If $ z = \sqrt{3} + i $, then the argument of $ z^2 e^{-i} $ is equal to
If $ n(A) = p $ and $ n(B) = q $, then the number of relations from the set $ A $ to the set $ B $ is
If $ A = \{a, b, c\}, B = \{b, c, d\} $ and $ C = \{a, d, c\} $, then $ (A - B) \times (B \cap C) $ is equal to
In an electrical circuit $ R, L, C $ and AC voltage source are all connected in series. When $ L $ is removed from the circuit, the phase difference between the voltage and the current in the circuit is $ \frac{\pi}{3} $. If instead $ C $ is removed from the circuit, the phase difference is again $ \frac{\pi}{3} $. The power factor of the circuit is
When $ 10^{19} $ electrons are removed from a neutral metal plate, the electric charge on it is
A string vibrates with a frequency of 200 Hz. When its length is doubled and tension is altered, it begins to vibrate with a frequency of 300 Hz. The ratio of the new tension to the original tension is
Two cells with the same emf $ E $ and different internal resistances $ r_1 $ and $ r_2 $ are connected in series to an external resistance $ R $. If the potential difference across the first cell is zero then the value of $ R $ is
The speeds of air-flow on the upper and lower surfaces of a wing of an aeroplane are $ v_1 $ and $ v_2 $, respectively. If $ A $ is the cross-sectional area of the wing and $ \rho $ is the density of air, then the upward lift is
A cylinder of radius $ r $ and of thermal conductivity $ K_1 $ is surrounded by a cylindrical shell of inner radius $ r $ and outer radius $ 2r $ made of a material of thermal conductivity $ K_2 $. The effective thermal conductivity of the system is

A square wire of each side $ l $ carries a current $ I $. The magnetic field at the mid-point of the square

Two slabs are of the thicknesses $ d_1 $ and $ d_2 $. Their thermal conductivities are $ K_1 $ and $ K_2 $, respectively. They are in series. The free ends of the combination of these two slabs are kept at temperatures $ \theta_1 $ and $ \theta_2 $. Assume $ \theta_1>\theta_2 $. The temperature $ \theta $ of their common junction is
A straight wire of length 2 m carries a current of 10 A. If this wire is placed in a uniform magnetic field of 0.15 T making an angle of $ 45^\circ $ with the magnetic field, the applied force on the wire will be
A balloon with mass $ m $ is descending down with an acceleration $ a $ (where, $ a<g $). How much mass should be removed from it so that it starts moving up with an acceleration $ a' $?
A block of wood floats in water with $ \frac{4}{5} $ th of its volume submerged. If the same block just floats in a liquid, the density of the liquid is (in $ \text{kg/m}^3 $)
In the diagram shown below, $ m_1 $ and $ m_2 $ are the masses of two particles and $ x_1 $ and $ x_2 $ are their respective distances from the origin $ O $. The centre of mass of the system is
A galvanometer having a resistance of $ 8 \, \Omega $ is shunted by a wire of resistance $ 2 \, \Omega $. If the total current is 1 A, the part of it passing through the shunt will be
A ball is projected horizontally with a velocity of $ 5 \, \text{m/s} $ from the top of a building 19.6 m high. How long will the ball take to hit the ground?
Let $ K_1 $ be the maximum kinetic energy of photoelectrons emitted by light of wavelength $ \lambda_1 $ and $ K_2 $ corresponding to wavelength $ \lambda_2 $. If $ \lambda_1 = 2\lambda_2 $, then
If $ \theta_1 $ and $ \theta_2 $ be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip $ \theta $ is given by
The sides of a parallelogram are represented by vectors $$ \vec{p} = 5\hat{i} - 4\hat{j} + 3\hat{k} \quad \text{and} \quad \vec{q} = 3\hat{i} + 2\hat{j} - \hat{k}. $$ Then, the area of the parallelogram is
A plane electromagnetic wave of frequency 20 MHz travels through a space along $ z $-direction. If the electric field vector at a certain point in space is 6 V/m, then what is the magnetic field vector at that point?
A car starts from rest and accelerates uniformly to a speed of 180 km/h in 10 s. The distance covered by the car in this time interval is
A fish in water (refractive index $ n $) looks at a bird vertically above in the air. If $ y $ is the height of the bird and $ z $ is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is
When a certain metal surface is illuminated with light of frequency $ \nu $, the stopping potential for photoelectric current is $ V_0 $. When the same surface is illuminated by light of frequency $ \frac{\nu}{2} $, the stopping potential is $ \frac{V_0}{4} $. The threshold frequency for photoelectric emission is