List of practice Questions

The magnetic field at a distance \( r \) from a long wire carrying current is 0.4 tesla. The magnetic field at a distance \( 2r \) is:

The velocity-time graph of a body moving in a straight line is shown in the figure. Find the displacement and distance travelled by the body in 10 seconds.

An electric dipole is kept in a uniform electric field. It experiences:

A person swims in a river aiming to reach exactly on the opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water is:

If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by the factor:

Radioactive element decays to form a stable nuclide, then the rate of decay of reactant is shown by:

The ratio of the energies of the hydrogen atom in its first to second excited states is:

Which of the following gates will have an output of 1?

A point charge \( q \) is rotated along a circle in the electric field generated by another point charge \( Q \). The work done by the electric field on the rotating charge in one complete revolution is:

The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then:

Two thin lenses are in contact and the focal length of the combination is 80 cm. If the focal length of one lens is 20 cm, then the power of the other lens will be:

Find the number which will replace the question mark.

How many glasses will remain empty if you half-fill some of the empty glasses, from the given set of filled glasses?

The pie chart shows proportions of income tax paid by a population of eight individuals. Each individual's tax share is shown in a different slice of the pie. Which of the statements can be derived from the chart shown below?

Images of traditional products of certain states of India are shown below. Identify the correct set of states to which these belong. Names of the states are in a random sequence. The products are made out of clay, willow/wicker, wood and brass.

How much distance (in cm) will the bicycle shown below travel, if the pedal makes 1.5 revolutions? (Assume \(\pi = 22/7\)).

A perspective object is rotated 180° about the y-axis, then 180° about the z-axis. Which perspective view matches?

Consider the following statements regarding ocean currents.
1. The heat fishing grounds of the world exit mainly in the mixing zones of warm and cold ocean current
2. Gravity is one of factor infl uencing ocean currents Identify the correct statements :

The figure shows a 3×3×3 cube with 4 colours. Each colour corresponds to a sub-block detached and shown separately. Identify the correct red block shape.

Which option replaces the missing pattern of coloured circles?

Which of the following statements related to Indian musicians is/are TRUE?

Which of the options on the right can be formed by folding the profile shown on the left?

In a 3D structure made of cubes of equal size, an L-shaped hole is made by removing a few cubes, as shown on the left. Which of the 3D structures in the options on the right would successfully pass through the L-shaped hole, given that they are also made of cubes of the same size?

A paper strip is rolled and punched by a triangular punch. After unrolling, what pattern of holes would appear on the strip?

Identify the option that will replace the missing 3D figure in the sequence.