List of top Questions asked in COMEDK UGET

A dielectric of dielectric constant $ K $ is introduced such that half of its area of a capacitor of capacitance $ C $ is occupied by it. The new capacity is
When $ 10^{19} $ electrons are removed from a neutral metal plate, the electric charge on it 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
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 critical angle of a medium having the refractive index \( \sqrt{2} \) is:
Let \( X \) and \( Y \) be the set of all positive divisors of 400 and 1000 respectively (including 1 and the number). Then \( n(X \cap Y) \) is equal to
If \[ \cos \alpha = k \cos \beta \] then \[ \cot \left( \frac{\alpha + \beta}{2} \right) \] is equal to
A spring of force constant \( k \) is cut into lengths of ratio \( 1 : 3 : 4 \). They are connected in series and the new force constant is \( k' \). Then they are connected in parallel and force constant is \( k'' \). Then \( k' : k'' \) is:

If \(P(B) = \frac{3}{5}\), \(P(A/B) = \frac{1}{2}\), and \(P(A \cup B) = \frac{4}{5}\), then \(P(A \cup B)' + P(A')\) is : 

\(\int x^x(1 + \log x) \, dx\), \(\text{ is equal to:}\)

One volt induced emf is produced in the secondary coil when the current through the primary coil is changed from 3 A to 1 A in 100 milliseconds. The mutual inductance of the two coils is:
The current drawn by the primary coil of an ideal transformer, which steps up 22 V into 220 V, to operate a device having a load resistance of 110 \(\Omega\) is:
Which of the following statement is true when a gamma decay occurs from the nucleus of an atom?

The current passing through the 100\(\Omega\) resistor in the given electrical circuit is:

The force between two electric point charges at rest in air is \( F_1 \). When the same arrangement is kept inside water, the force between them is \( F_2 \). Which of the following statement is correct?
A neutron makes a head-on elastic collision with a lead nucleus. The ratio of nuclear mass to neutron mass is 206. The fractional change in kinetic energy of a neutron is:
A battery is made of 12 cells having emf 5 V each. If three cells are unknowingly connected wrong, the resultant emf of the battery will be:
A circular loop of area 0.04 m\(^2\) carrying a current of 10 A is held with its plane perpendicular to a magnetic field induction of 0.4 T. Then the torque acting on the circular loop is:
In the photoelectric experiment, the frequency of the incident radiation is double(D) What will be its effect on the photoelectric current?
A drone is flying due west, a little above the train, with a speed of 10 m/s. A 270 meter long train is moving due east at a speed of 20 m/s. The time taken by the drone to cross the train is:

\( F_A, F_B, \) and \( F_C \) are three forces acting at point \( P \) as shown in the figure. The whole system is in equilibrium state. The magnitude of \( F_A \) is:

A wheel is free to rotate about a horizontal axis through \( O \). A force of 200 N is applied at a point \( P_2 \) from the center \( O \). \( OP \) makes an angle of 55° with the \( x \)-axis and the force is in the plane of the wheel making an angle of 25° with the horizontal axis. What is the torque?
What feature of the infrared waves make it useful for the haze photography?
A light having wavelength 6400 \( \text{\AA} \) is incident normally on a slit of width 2 mm. Then the linear width of the central maximum on the screen kept 2 m from the slit is:
What should be the inductance of an inductor connected to 200 V, 50 Hz source so that the maximum current of \( \sqrt{2} \, \text{A} \) flows through it?