BITSAT 2021

The phasor diagram of a load represents which circuit?

A proton has kinetic energy E = 100 eV which is equal to that of a photon. The wavelength of photon is \(\lambda\)2 and that of proton is \(\lambda\)1. The ratio \({{{\lambda _2}} \over {{\lambda _1}}}\) is proportional to

The radius of a muonic hydrogen atom is 2.5 \(\times\) 10\(-\)13 m. The total atomic volume (in m3) of a mole of such hydrogen atoms is (Take, \(\pi\) = 3.14)

A radioactive sample at any instant has its disintegration rate 5000 disintegrations per min. After 5 min, the rate is 1250 disintegrations per min. Then, the disintegration constant (per min) is

The separation between two parallel plates of capacitor is 1 mm. What is the electric potential generates between the plates of capacitor, when electric field of 2000 N/C is applied on it?

A cyclist speeding at 6 m/s in a circle of 18 m radius makes an angle \(\theta\) with the vertical. The minimum possible value of coefficient of friction between the tyres and the ground is

A shunt is connected in parallel with a galvanometer. Why?

In the following circuit, assuming point A to be at zero potential, then what is the potential at point B?

The potential difference applied to an X-ray tube is decreased. As a result, in the emitted radiation,

For a constant hydraulic stress on an object, the fractional change in the object's volume \(\left( {{{\Delta V} \over V}} \right)\) and its bulk modulus B are related as

Two coils A and B have a mutual inductance 0.001 H. The current changes in the first coil according to the equation \(i = {i_0}\sin \omega t\), where i0 = 10A and \(\omega\) = 10\(\pi\) rads\(-\)1. The maximum value of emf in the second coi...

Choose the correct statement.

Four charges equal to + Q are placed at the four corners of a square and a charge (\(-\)q) is at its centre. If the system is in equilibrium, then the value of \(-\)q is

An electric dipole is placed at an angle of 30\(^\circ\) in a non-uniform electric field. The dipole will experience

Two drops of equal radius (R) coalesce to form a bigger drop. What is the ratio of surface energy of bigger drop to smaller one?

From a solid sphere of mass M and radius R, a spherical portion of radius \({R \over 2}\) is removed as shown in the figure.

Taking gravitational potential V = 0 at r = \(\infty\), the potential at the centre of the cavity thus formed is

If the earth stops rotating about its axis, then what will be the change in the value of g at a place in the equatorial plane? (Radius of earth = 6400 km)

An ideal monoatomic gas is taken round the cycle ABCDA as shown in the p-diagram

The work done during the cycle is

Which of the following graphs show the correct relation between conductivity and temperature for a metallic conductor?

The ratio of the specific heats \({{{C_v}} \over {{C_p}}} = {1 \over \gamma }\) in terms of degrees of freedom (n) is given by

The initial speed of a body of mass 2.0 kg is 5 m/s. A force acts for 4 s in the direction of motion of the body, as shown in force-time graph. The impulse of force is

A uniform rod AB of length L = 1 m is sliding along two mutually perpendicular surfaces OP and OQ as shown in the figure.

When the rod subtends an angle \(\theta\) = 30\(^\circ\) with OQ, the end B has a velocity \(\sqrt3\) m/s. The veloci...

A block of mass 10 kg rests on a rough inclined plane making an angle of 30\(^\circ\) with the horizontal. The coefficient of static friction between the block and the plane is 0.1. The friction force on the block is

A man walks in a straight line for 5 min with a velocity of 45 m/s. What is the speed with which he has to move in order to comeback to its original position in 1.5 min?

A projectile is given an initial velocity of \((\widehat i + \widehat j)\) m/s, where, \(\widehat i\) is along the ground and \(\widehat j\) is along the vertical. If g = 10 m/s2, then the equation of its trajectory is

Two particles A and B of masses mA and mB respectively, are having same charge and moving on same plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are vA and vB respectively and the trajectorie...

The property of light used in optical fibre cables is

Two plane mirrors A and B are aligned parallel to each other as shown in the figure.

A ray of light is incident at an angle 30\(^\circ\) at a point just inside one end of A. The plane of incidence coincides with the plane of the figure. Th...

The angular momentum of a body placed at origin of mass 1 kg and having position vector \(r = 3t\widehat i + 4\widehat j\) is

Three particles each of mass m are kept at the vertices of an equilateral triangle of side b. Moment of inertia of the system about an axis passing through the centroid and perpendicular to its plane is

A T-shaped object with dimensions shown in figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect ...

The phase difference between Vout and Vin of CE amplifier circuit is

The current in the circuit will be

A tray of mass (M) 12 kg is supported by a spring as shown in the figure.

When the tray is pressed down and released, it executes SHM with a period of 1.5 s. When a block of mass m placed on the tray, the period of SHM changes to 3.0 s. Th...

A particle executes SHM with a frequency f. The frequency with which its kinetic energy oscillates is

If nth division of main scale coincides with (n + 1)th division of vernier scale. The least count of the vernier is (Given, one main scale division is equal to a units)

The equation of progressive wave is given by \(Y = \sin \left[ {x\left( {{t \over 5} - {x \over 9}} \right) + {\pi \over 6}} \right]\) cm. Which one of the following is correct?

Two cars approach a stationary observer from opposite sides as shown in the figure.

The observer hears no beats. If the frequency of the horn of the car B is 504 Hz, then the frequency of the horn of the car A will be

A force F = a + bx acts on a particle in the x-direction where a and b are constants. The work done by this force during a displacement from x = 0 to x = d is

The bob of a pendulum of length 2 m lies at P, when it reaches Q, it losses 10% of its total energy due to air resistance.

The velocity of bob at Q is