List of top Questions asked in COMEDK UGET

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
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
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 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
A body is projected vertically upwards. The times corresponding to height $ h $ while ascending and while descending are $ t_1 $ and $ t_2 $, respectively. Then, the velocity of projection will be (take $ g $ as acceleration due to gravity)
An LED is constructed from a p-n junction diode using GaAsP. The energy gap is 1.9 eV. The wavelength of the light emitted will be equal to

Which logic gate is represented by the following combination of logic gates?

If $ C $ be the capacitance and $ V $ be the electric potential, then the dimensional formula of $ CV^2 $ is
The height vertically above the Earth's surface at which the acceleration due to gravity becomes 1 percent of its value at the surface is