The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum μ₀ is 4π × 10^–7 SI units. Absolute permeability of the material of the rod in SI units is

A body weighs 500 N on the surface of the earth. At what distance below the surface of the earth it weighs 250 N ? (Radius of earth, R = 6400 km)

Three discs x, y and z having radii 2 m, 3 m and 6 m respectively are coated on outer surfaces. The wavelength corresponding to maximum intensity are 300 nm, 400 nm and 500 nm respectively. If P_x , P_y and P_z are power radiated by them respectively then

A stationary wave is represented by  where x and y are in cm and t in second. The distance between two consecutive nodes is

When the rms velocity of a gas is denoted by 'v', which one of the following relations is true ?

(T = Absolute temperature of the gas.)

A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A and the distance between the plates is 'd'. The energy stored in the capacitor is [ε₀ = permittivity of free space)

Two massless springs of spring constant K₁ and K₂ are connected one after the other forming a single chain, suspended vertically and certain mass is attached to the free end. If 'e₁
' and 'e₂' are their respective extensions and 'f' is their stretching force, the total extension produced is

The time taken by a particle executing simple harmonic motion of period 'T', to move from the mean position to half the maximum displacement is

Using Bohr's model, the orbital period of electron in hydrogen atom in the n^th orbit is (ε₀ = permittivity of vacuum, h = Planck's constant, m = mass of electron, e = electronic charge)

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

If the kinetic energy of a free electron doubles, it's de Broglie wavelength (λ) changes by a factor

In the following network, the current through galvanometer will

The work done in blowing a soap bubble of radius R is 'W₁' at room temperature. Now the soap solution is heated. From the heated solution another soap bubble of radius 2R is blown and the work done is 'W₂'. Then

A capacitor of capacitance 50μF is connected to a.c. source e = 220 sin ⁡50t (e in volt, t in second). The value of peak current is

Two waves are superimposed whose ratio of intensities is 9:1. The ratio of maximum and minimum intensity is

The masses and radii of the moon and the earth are M₁,R₁ and M₂,R₂ respectively. Their centres are at a distance d apart. What should be the minimum speed with which a body of mass 'm' should be projected from a point midway between their centres, so as to escape to infinity?

Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents 'I₁' and 'I₂' respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between both the wires is

Self inductance of a solenoid cannot be increased by

For a NAND gate, the inputs and outputs are given below.

The values taken by C, D, E, F are respectively

An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectories in the field?

The resistance offered by an inductor ((X_L) in an a.c. circuit is

The force between the plates of a parallel plate capacitor of capacitance 'C' and distance of separation of the plates 'd' with a potential difference 'V' between the plates is

Consider the following statements about stationary waves.

A. The distance between two adjacent nodes or antinodes is equal to λ/2(λ = wavelength of the wave)

B. A node is always formed at the open end of the open organ pipe.

Choose the correct option from the following.

If the radius of the spherical gaussian surface is increased then the electric flux due to a point charge enclosed by the surface

The wave number of the last line of the Balmer series in hydrogen spectrum will be

(Rydberg's constant  =10⁷ m⁻¹)

A bucket containing water is revolved in a vertical circle of radius r. To prevent the water from falling down, the minimum frequency of revolution required is

(g = acceleration due to gravity)

Two monatomic ideal gases A and B of molecular masses 'm₁' and 'm₂' respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas A to that in gas B is given by

A hollow pipe of length  0.8 m is closed at one end. At its open end, a  0.5 m long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of pipe. If the tension in the string is  50 N and speed of sound in air is  320 m/s, the mass of the string is

A graph of magnetic flux (ϕ) versus current (I) is drawn for four inductors A, B, C, D. Larger value of self inductance is for inductor.

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum in the resulting diffraction pattern

A body moving in a circular path with a constant speed has constant

A steel coin of thickness 'd' and density 'p' is floating on water of surface tension 'T'. The radius of the coin (R) is [g = acceleration due to gravity]

A door 1.2 m wide requires a force of 1 N to be applied perpendicular at the free end to open or close it. The perpendicular force required at a point 0.2 m distant from the hinges for opening or closing the door is

The thermodynamic process in which no work is done on or by the gas is

The given circuit has two ideal diodes D₁ and D₂ connected as shown in the figure. The current flowing through the resistance R₁ will be

In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength 5500 Å, the first minimum is observed at an angle 30^o. The first secondary maxima is observed at an angle θ, equal to

A galvanometer of resistance 200 Ω is to be converted into an ammeter. The value of shunt resistance which allows 3% of the mains current through the galvanometer is equal to (nearly)

The speed of light in two media M₁ and M₂ are 1.5 × 10⁸ m/s and 2 × 10⁸ m/s respectively. If the light undergoes total internal reflection, the critical angle between the two media is

The minimum distance between an object and its real image formed by a convex lens of focal length 'f' is

Heat given to a body, which raises its temperature by 1ºC is known as

A shell is fired at an angle of 30^o to the horizontal with velocity 196 m/s. The time of flight is

In a full wave rectifier circuit without filter, the output current is

The excess pressure inside a soap bubble of radius 2 cm is 50 dyne/cm² . The surface tension is

Two bodies of masses 'm' and ' 3 m' are rotating in horizontal speed of the body of mass 'm' is n times that of the value of heavier body; while the centripetal force is same for both. The value of n is