Test

Assuming that about 200 MeV energy is released per fission of ₉₂U²³⁵ nuclei, what would be the mass of U²³⁵ consumed per day in the fission of reactor of power 1 MW approximately?

A parallel plate capacitor is charged and the charging battery is then disconnected. If the plates of the capacitor are moved further apart by means of insulating handles then

The equivalent capacitance between points A and B is

A thin wire of length l and uniform linear mass density ρ is bent into a circular loop with centre O and radius r as shown in figure. The moment of inertia of the loop about the axis XX’ is

Two cells of e.m.f.s 1.5 V and 2.0 V and internal resistances 2 ohm and 1 ohm respectively have their negative terminals joined by a wire of 6 ohm and positive terminals by a wire of 7 ohm resistance. A third resistance wire of 8 ohm connects middle points of these wires. Find the potential difference at the end of the third wire.

Six charges are placed at the corner of a regular  hexagon as shown. If an electron is placed at its centre O, then the force on it will be :

An inductance of (100/π) mH, a capacitance of  F and a resistance of 6.75 Ω are connected in  series with an AC source 220 V, 40 Hz. The phase angle of the circuit is

A photon of energy and momentum collides with an electron at rest. After the collision, the scattered electron and the scattered photon each make an angle of 45° with the initial direction of motion. The ratio of frequency of scattered and incident photon is

Two spherical soap bubbles of radii R₁ and R₂ combine under isothermal condition to form a single bubble. The radius of the resultant bubble is

If the distance between the earth and the sun were one third of its present value, the no. of days in a year would have been

Three blocks of masses m, 3m and 5m are connected by massless strings and pulled by a force F on a frictionless surface as shown in the figure below. The tension P in the first string is 16 N

If the point of application of F is changed as given below,

the values of P’ and Q’ will be

A conducting ring of radius 1 metre is placed in an uniform magnetic field B of 0.01 Tesla oscillating with frequency 100 Hz with its plane at right angle to B. What will be the induced electric field?

If 10% of the radioactive material decays in 5 days, what would be percentage of amount of original material left after 20 days?

The displacement of a particle moving in a straight line depends on time as  x = αt³ + βt² + γt + δ . The ratio of initial acceleration to its initial velocity depends

A student is standing at a distance of 50 metre from the bus. As soon as the bus begins its motion with an acceleration of 1 ms^-2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is

Power P is related to distance x and time t as . The dimension of a is

Calculate the increase in energy of a brass bar of length 0.2 m and cross sectional area 1 cm² when compressed with a load of 5 kg weight along its length. Young’s modulus of brass = 1.0 × 10¹¹ Nm^-2.

The apparent depth of water in cylindrical water tank of diameter 2R cm is reducing at the rate of x cm/minute when water is being drained out at a constant rate. The amount of water drained in c.c per minute is: (n₁ = refractive index of air, n₂ = refractive index of water)

A lens is made of flint glass (refractive index = 1.5). When the lens is immersed in a liquid of refractive index 1.25, the focal length:

Which of the following spherical lenses doesn’t exhibit dispersion? The radii of curvature of the surfaces of the lenses are given in the diagrams?

A particle executes simple Harmonic motion in a line of 5 cm long. When it passes through the centre of line, its velocity is 15 cm/s. Find its frequency.

Water from a tap emerges vertically downward with an initial speed of 1 m/s. The cross-sectional area of the tap is 10^-4 m². Assume that the pressure is constant throughout the stream of water and the flow is steady. What is the cross-sectional area of the stream 0.15m below the tap?

A rectangular film of liquid is extended from 7cm × 5 cm to 9 cm × 8 cm. If the work done is 4 × 10⁻⁴J. Find the surface tension of liquid.

The maximum velocity of a particle executing S.H.M with an amplitude 14 mm is 4.4 m/s. The period of oscillation is

Where is the centre of mass of a binary system with a white dwarf star of mass (M) and a Red – giant star (m) separated by a distance (p)?

A bimetallic strip is formed out of two identical strips, one of copper and the other of brass. The coefficients of linear expansion of the two metals are α_c and α_B. On heating, the temperature of the strip increases by ∆T and the strip bends to form an arc of radius R. Then R is proportional to

A tank is filled with water upto height H. When a hole is made at a distance h below the level of water. What will be the horizontal range of water jet ?

L, C and R represent the physical quantities inductance, capacitance and resistance respectively. Which of the following combinations represents time?

In the diffraction from a single slit of width 2.5 λ, the total number of minimas and secondary maximum (maxima) on either side of the central maximum are

A coil of inductance 8.4 mH and resistance 6 Ω is connected to a 12 V battery. The current in the coil is 1.0 A at approximately the time