List of practice Questions

The two-dimensional cube in the diagram below has charged objects placed at the corners as shown. An electron that is free to move is placed at the exact centre of the cube. In which direction will the electron move?
A displacement vector is a
The difference between two audible frequencies is about 4 Hz. If one frequency and the speed of sound is 340 m/s, the other frequency might be about

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 gas is enclosed in a metal container with a movable piston on top. Heat is added to the gas by placing a candle flame in contact with the container's bottom. Which of the following is true about the temperature of the gas? 

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.
A parallel plate capacitor C has a charge Q. The actual charges on its plates are
In a closed organ pipe, the fundamental frequency is \( v \). What will be the ratio of the frequencies of the next three overtones?
The Reynolds number for fluid flow in a pipe is independent of
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
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
Photoelectron emission rate is a direct function of radiation
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
A force is applied to an object that is free to move. Which of the following statements is correct?
A rigid bar of mass 15 kg is supported symmetrically by three wires each 2 m long. Those at each end are of copper and the middle one is of iron. Determine the ratio of their diameters if each is to have the tension.
A body takes 5 min for cooling from 50°C to 40°C. Its temperature comes down to 33.33°C in the next 5 min. Temperature of the surroundings is
The number of neutrons released during the fission reaction \[ {n} + ^{235} {U} \longrightarrow ^{133} {Sb} + ^{99} {Nb} + {neutrons is} \]
For a monoatomic gas, work done at constant pressure is W. The heat supplied at constant volume for the same rise in temperature of the gas is
For constructive interference to take place between two monochromatic light waves of wavelength \( \lambda \), the path difference should be
A particle of mass \( m \) executes SHM with amplitude \( a \) and frequency \( v \). The average kinetic energy during its motion from the position of equilibrium to the end is
Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in contact at the center. The intervening space is filled with oil of refractive index 1.7. The focal length of the combination is

A force \( F = (2 + x) \, \text{N} \) acts on a particle in the x-direction. The work done by this force during a displacement from \( x = 1.0 \, \text{m} \) to \( x = 2.0 \, \text{m} \) is?

When a hydrogen atom is raised from the ground state to the fifth state
A positive point charge is placed at the origin. There is an electric field \( E'(x) = 2, 2 + 3 \) that accelerates the Udder point charge along the x-axis. Determine the energy of the charge when it reaches the position \( x = 21 \).

A 4 cm thick layer of water covers a 6 cm thick glass slab. A coin is placed at the bottom of the slab and is being observed from the air side along the normal to the surface. Find the apparent position of the coin from