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

A positive charge enters a magnetic field and travels parallel to but opposite the field. The charge feels or experiences
The potential energy of gravitational interaction of a point mass \( m \) and a thin uniform rod of mass \( M \) and length \( L \), if they are located along a straight line at a distance \( a \) from each other, is
Two identical non-conducting spheres having charges of -12 nC and +8 nC are touched together and then separated. The final charge on each is
Photoelectron emission rate is a direct function of radiation
A Carnot engine takes \( 3 \times 10^8 \) cal of heat from a reservoir at 627°C and gives it to a sink at 27°C. The work done by the engine is
The engineer of a train blows the train whistle as he approaches a crossing. A few moments later, he hears an echo from the whistle. The engineer hears the echo of the whistle because of
A coil in the shape of an equilateral triangle of side \( l \) is suspended between two pole pieces of a permanent magnet, such that the magnetic field, \( B \), is in the plane of the coil. If due to a current \( I \) in the triangle, a torque \( \tau \) acts on it, the side \( l \) of the triangle is

Velocity of sound in a gaseous medium is 330 ms\(^{-1}\). If the pressure is increased by 4 times without change in temperature, the velocity of sound in the gas is

A parallel plate capacitor is connected to a battery. A metal sheet of negligible thickness is placed between the plates. The sheet remains parallel to the plates of the capacitor. Which of the following is correct?
Five organ pipes are described below. Which one has the highest frequency fundamental?
Two liquid drops of equal radii are falling through air with the terminal velocity \( v \). If these two drops coalesce to form a single drop, its terminal velocity will be
Wave represented by the equation \( y_1 = A \cos(kx - \omega t) \) is superimposed on another wave to form a stationary wave such that the point \( x = 0 \) is a node. The equation representing the wave is given by
A cylinder rolls up an inclined plane at an angle of 30°. At the bottom of the inclined plane, the centre of mass of the cylinder has speed of 5 m/s. How long will it take to return to the bottom?
A cyclotron is operating at a frequency of 12 MHz. Mass and charge of deuteron are \( 3.3 \times 10^{-27} \, {kg} \) and \( 1.9 \times 10^{-19} \, {C} \). To accelerate deuteron, the necessary magnetic field is
An electric charge \( q \) is placed at the centre of a cube of side \( l \). The electric flux through one of its faces will be
Velocity of sound in an open organ pipe is 330 m/s. The frequency of the wave is 1.1 kHz and the length of the tube is 30 cm. To which harmonic does this frequency correspond?
A metallic ball has a spherical cavity at its centre. If the ball is heated, what happens to the cavity?
The Reynolds number for fluid flow in a pipe is independent of
In a closed organ pipe, the fundamental frequency is \( v \). What will be the ratio of the frequencies of the next three overtones?

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 net gravitational force that it would experience would be zero?

A constant voltage is applied between two ends of a uniform metallic wire. Some heat is developed in it. The heat developed is doubled, if
A parallel plate capacitor C has a charge Q. The actual charges on its plates are
The diagrams show three circuits with identical batteries, identical inductors, and identical resistors. Rank them according to the current through the battery just after the switch is closed from least to greatest.
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio of \( \frac{C_p}{C_v} \) for the gas is
The value of \( \int \frac{\sin^2 x \cos^2 x}{(\sin^3 x + \cos^3 x)^2} \, dx \) is