List of practice Questions

Identify the complex ion with electronic configuration \( t_{2g}^{3} e_{g}^{2} \).

Identify the structure of the polymer ‘P’ formed in the given reaction: 

Which of the following vitamins is also called pyridoxine?

The number of -OH groups present in the structures of bithionol, terpineol, and chloroxylenol is respectively:

Conversion of X to Y in the given reaction corresponds to:

The related effort to derive the properties of a bigger, more complex system from the properties and interactions of its constituent simpler parts is:
The error in the measurement of resistance, when \( (10 \pm 0.5) \) A current passing through it produces a potential difference of \( (100 \pm 6) \) V across it, is:
If a bar magnet of moment \( 10^{-4} \) Am\(^2\) is kept in a uniform magnetic field of \( 12 \times 10^{-3} \) T such that it makes an angle of \( 30^\circ \) with the direction of the magnetic field, then the torque acting on the magnet is:
A train with an axle of length 1.66 m is moving towards north with a speed of 90 km/h. If the vertical component of the earth’s magnetic field is \( 0.2 \times 10^{-4} \) T, the emf induced across the ends of the axle is:
The natural frequency of an LC circuit is 120 kHz. When the capacitor in the circuit is totally filled with a dielectric material, the natural frequency of the circuit decreases by 20 kHz. The dielectric constant of the material is:
A plane electromagnetic wave of electric and magnetic fields \( E_0 \) and \( B_0 \) respectively incidents on a surface. If the total energy transferred to the surface in a time of \( t \) is \( U \), then the magnitude of the total momentum delivered to the surface for complete absorption is:
If the de Broglie wavelength of a neutron at a temperature of 77°C is \( \lambda \), then the de Broglie wavelength of the neutron at a temperature of 1127°C is:
The ratio of the wavelengths of radiation emitted when an electron in the hydrogen atom jumps from the 4th orbit to the 2nd orbit and from the 3rd orbit to the 2nd orbit is:
The energy released by the fission of one uranium nucleus is 200 MeV. The number of fissions per second required to produce 128 W power is:
Which of the following statements regarding the nature of physical laws is NOT correct?
A ball of mass 1.2 kg moving with a velocity of 12 ms\(^{-1}\) makes a one-dimensional collision with another stationary ball of mass 1.2 kg. If the coefficient of restitution is \( \frac{1}{\sqrt{2}} \), then the ratio of the total kinetic energy of the balls after the collision to the initial kinetic energy is
If a body is dropped freely from a height of 20 m and reaches the surface of a planet with a velocity of 31.4 m/s, then the length of a simple pendulum that ticks seconds on the planet is:
Two stars of masses \( M \) and \( 2M \) that are at a distance \( d \) apart, are revolving one around another. The angular velocity of the system of two stars is:

A big liquid drop splits into 'n' similar small drops under isothermal conditions, then in this process:

A wooden cube of side 10 cm floats at the interface between water and oil with its lower surface 3 cm below the interface. If the density of oil is 0.9 g/cm³, the mass of the wooden cube is:
The operation of a nuclear reactor is said to be critical when the value of neutron multiplication factor \( K \) is
The process of the loss of strength of a signal while propagating through a medium is
A 20-ton truck is traveling along a curved path of radius 240 m. If the center of gravity of the truck above the ground is 2 m and the distance between its wheels is 1.5 m, the maximum speed of the truck with which it can travel without toppling over is:
(Acceleration due to gravity \( g = 10 \) ms\(^{-2}\))
A block of mass \( m \) with an initial kinetic energy \( E \) moves up an inclined plane of inclination \( \theta \). If \( \mu \) is the coefficient of friction between the plane and the body, the work done against friction before coming to rest is:
A thin uniform wire of mass \( m \) and linear mass density \( \rho \) is bent in the form of a circular loop. The moment of inertia of the loop about its diameter is: