List of top Physics Questions asked in Guru Gobind Singh Indraprastha University Common Entrance Test

If two simple pendulums first of bob mass \( M_1 \) and length \( l_1 \), and \( M_2 \) and \( l_2 \), Given \( M_1 = M_2 \) and \( l_1 = 2l_2 \), If the vibrational energies of both are same, then which of the following is correct?
The North pole of the Earth's magnetic field is at the geographical South pole. A compass is a small magnet whose North pole end is drawn in the approximate direction of
An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be:
A stream of water flowing horizontally with the speed of 15 m/s gushes out of a tube of cross-sectional area \( 10^{-2} \, \text{m}^2 \) and hits a vertical wall nearby. What is the force exerted on the wall by the impact of water? Assuming it does not rebound.
A shell of mass 0.020 kg is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 m/s, what is the recoil speed of the gun?
A man holds a rectangular card in front of and parallel to a plane mirror. In order for him to see the entire image of the card, the least mirror area needed is:
If torques of equal magnitudes are applied to a hollow cylinder and a solid sphere both having the same mass and radius. The cylinder is free to rotate about its standard axis of symmetry and the sphere is free to rotate about an axis passing through its center. Which of the two will acquire a greater angular speed after a given time?
A ring of radius \( R \) is first rotated with an angular velocity \( \omega \), and then carefully placed on a rough horizontal surface. The coefficient of friction between the surface and the ring is \( \mu \). Time after which its angular speed is reduced to half is:

A wire of arbitrary shape carries a current \( I = 2A \). Consider the portion of wire between \( (0, 0, 0) \) and \( (4, 4, 4) \). A magnetic field given by \[ B = \left( 1.2 \times 10^{-4} + 2 \times 10^{-4} \right) \, \hat{k} \] exists in the region. The force acting on the given portion of the wire is:

The power of the combination of two lenses made by keeping the convex lens of focal length 40 cm in contact with the concave lens of focal length 25 cm, is:

A ball of mass \( m \) moving at a speed \( v \) makes a head-on collision with an identical ball at rest. The kinetic energy at the balls after the collision is \( \frac{3}{4} \) of the original. What is the coefficient of restitution?

What will be the displacement equation of the simple harmonic motion obtained by combining the motions? Given: \[ x_1 = 2 \sin(\omega t), \quad x_2 = 4 \sin(\omega t + \frac{\pi}{2}), \quad x_3 = 6 \sin(\omega t) \]

Two coherent point sources \( S_1 \) and \( S_2 \) vibrating in phase emit light of wavelength \( \lambda \). The separation between them is \( 2\lambda \). The light is collected on a screen placed at a distance \( D \gg \lambda \) from the slit \( S_1 \) as shown. The minimum distance, so that intensity at \( P \) is equal to intensity at \( O \), is:

Two litres of water kept in a container at \( 27^\circ \text{C} \) is heated with a coil of 1 kW. The lid of the container is open and energy dissipates at the rate of 160 J/s. If the specific heat of water is 4.2 kJ/kg, then the time taken by coil to raise the temperature of water from \( 27^\circ \text{C} \) to \( 77^\circ \text{C} \) is:
If pressure of CO\(_2\) (real gas) in a container is given by \( P = \frac{RT}{2v-b} - \frac{a}{4v^2} \), then mass of the gas in the container is:

The bob of a pendulum is released from a horizontal position A as shown in the figure. If the length of the pendulum is 1.5 m, what is the speed with which the bob arrives at the lower most point B, given that it dissipated 5% of its initial energy against air resistance?

A capacitor of capacitance 5 µF is connected as shown in the figure. The internal resistance of the cell is 0.5 Ω. The amount of charge on the capacitor plate is:

Use the diagram below to answer the following questions. 40 spheres of equal mass make two rings of 20 spheres each. The ring on the right has a radius twice as large as the ring on the left. At what position could a mass be placed so that the gravitational force it would experience would be the same from both rings?

The resistance \( R \) of a conductor varies with temperature \( t \) as shown in the figure. If the variation is represented by \( R_t = R_0 \left( 1 + \alpha t + \beta t^2 \right) \), then:

A tank is filled with a liquid upto a height \( H \). A small hole is made at the bottom of this tank. Consider \( t_1 \) be the time taken to empty the first half of the tank and \( t_2 \) be the time taken to empty the rest half of the tank. Then, determine the ratio \( \frac{t_1}{t_2} \).
In a cinema, a picture 2.5 cm wide on the film is projected to an image 3.0 m wide on a screen that is 18 m away. The focal length of the lens is about:
The coefficient of volume expansion of glycerine is \( 49 \times 10^{-5} \, \text{K}^{-1} \). What is the fractional change in its density for a \( 30^\circ \text{C} \) rise in temperature?
Consider the analogy between an oscillating spring-body system and an oscillating L-C-R circuit. Then, the correspondence between the two systems that is NOT correct is:
A candle C sits between two parallel mirrors at a distance \( 0.2d \) from mirror 1. Here \( d \) denotes the distance between the mirrors. Multiple images of the candle appear in both mirrors. How far behind mirror 1 are the nearest three images of the candle in that mirror?

A block of mass \( m \) is in contact with the cart C as shown in the figure. The coefficient of static friction between the block and the cart is \( \mu \). The acceleration \( a \) of the cart that will prevent the block from falling satisfies: