BITSAT 2020

Three solenoid coils of same dimensions, same number of turns and same number of layers of windings are taken. Coil 1 has inductance L1 wounded by Mn wire of resistance 6 \(\Omega\)m\(-\)1, coil 2 with inductance L2 wounded by similar wire ...

In the circuit shown in figure, the AC source has angular frequency \(\omega\) = 2000 rad s\(-\)1. The amplitude of the current will be nearest to

Identify the hydrogen-like element whose spectral lines are four times shorter in wavelength compared to those of atomic hydrogen.

The decay constants of two radioactive substances X and Y are 4\(\lambda\) and \(\lambda\) respectively. At t = 0, a sample has the same number of two nuclei. The time taken for the ratio of number of nuclei to become \({1 \over {{e^3}}}\) ...

Three capacitors C1, C2 and C3 are connected as shown in the figure below. If capacitor C3 breaks down electrically, the change in total charge on the combination of capacitors is

In the circuit shown, if the 10 \(\Omega\) resistor is replaced by a resistor of 15 \(\Omega\), then what is the amount of current drawn from the battery?

A moving coil galvanometer has a resistance of 60 \(\Omega\) and it indicates full deflection on passing a current of 4.5 mA. A voltmeter is made using this galvanometer and a 4.5 k\(\Omega\) resistance. The maximum voltage, that can be mea...

A potentiometer wire, 10 m long, has a resistance of 40\(\Omega\). It is connected in series with a resistance box and a 4 V storage cell. If the potential gradient along the wire is 0.4 mV cm\(-\)1, the resistance unplugged in the box is

Lights of two different frequencies whose photons have energies 1.5 eV and 2.5 eV respectively illuminate a metallic surface whose work function is 0.5 eV successively. Ratio of maximum speeds of emitted electrons will be

If a man becomes a giant, expanding his linear dimensions by a factor of eight, and assuming his density remains unchanged, the factor by which the stress in his legs will increase is

Given that in a fluorescent lamp's choke, a reverse voltage of 120 V is generated as the choke's current changes steadily from 0.50 A to 0.20 A in a time frame of 0.030 ms. Calculate the self inductance of the choke in millihenrys (mH).

The magnetic field of a beam emerging from a fitter facing a flood light is given by
B = 10 \(\times\) 10\(-\)8 sin(1 \(\times\) 107z \(-\) 3.6 \(\times\) 1015t)T. The average intensity of the beam is

A charge +q is placed at the origin O of XY-axes as shown in the figure. The work done in taking a charge Q from A to B along the straight line AB is

Two small conducting spheres of equal radius have charges +20 \(\mu\) C and \(-\)40 \(\mu\)C respectively and placed at a distance R from each other experience for F1. If they are brought in contact and separated to the same distance, they ...

Two spheres of the same material and same radii r are touching each other. The gravitational force between the spheres is proportional to

A satellite is moving around the earth with speed v in a circular orbit of radius r. If the orbit radius is decreased by 2%, its speed will increase by

A black body radiates energy at the rate E Wm\(-\)2 at high temperature TK. When the temperature is reduced to \(\left( {{T \over 4}} \right)\) K, the new radiant energy is

In an adiabatic process, where pressure is decreased by \({3 \over 4}\)%, if \({{{C_p}} \over {{C_v}}} = {4 \over 3}\), then the volume increases by

A Carnot engine has the same efficiency between 600 K to 300 K and 1600 K to x K, then the value of x is

A vessel contains one mole of O2 gas (molar mass 32) at a temperature T. The pressure of the gas is p. An identical vessel containing one mole of He gas (molar mass 4) at a temperature 2T has a pressure of

The figure shows graphs of pressure (p) versus density (d) for an ideal gas at two temperatures T1 and T2, then

When 2 moles of a monoatomic gas are mixed with 3 moles of a diatomic gas, the value of adiabatic exponent for the mixture is

When a body is dropped from a height h, then it hits the ground with a momentum p. If the same body is dropped from a height which is three times more than previous height, the percentage change in momentum when it hits the ground is

A plane requires for take off a speed of 72 kmh\(-\)1, the run on the ground being 50 m. The mass of the plane is 10000 kg and the coefficient of friction between the plane and the ground is 0.2. Assume that the plane accelerates uniformly ...

A long cylindrical iron core of cross-sectional area 5 cm2 is inserted into a long solenoid having 4000 turns/meter and carrying a current 5 A. The magnetic field inside the core is \(\pi\) T. Find the pole strength developed.

Based on the provided velocity-time graph for an object’s straight-line movement, determine the total distance covered and the average speed between t = 0 and t = 20 seconds.

The acceleration of a particle in m/s2 is given by a = (3t2 \(-\) 2t + 1), where t is in second. If the particle starts with a velocity v = 1 m/s at t = 1s, then velocity of the particle at the end of 4s is

What is the magnitude of the force experienced per unit length by a thin wire that carries a current of I = 10 A and is formed into a semi-circle with a radius of R = 20\(\pi\) cm at a point O?

A thin equi-convex lens is made of glass of refractive index 1.5 and its focal length is 0.2 m. If it acts as a concave lens of focal length 0.5 cm when dipped in a liquid, the refractive index of the liquid is

A spherical lens of power \(-\)4D is placed at a distance of 15 cm from another spherical lens of power 5 D. A beam of parallel light falls on the first spherical lens. The final image formed is

The wheel of a car, accelerated uniformly from rest, rotates through 5 radians during the first second. The angle (in radians) rotated during the next second is

The combination of the gates shown in following figure yields

The reading of the ammeter for a germanium diode in the given circuit is

A simple pendulum is placed inside a lift, the lift is moving with a uniform acceleration. If the time periods of the pendulum while the lift is moving upwards and downwards are in the ratio of 1 : 3, then the acceleration of the lift is
[T...

The length of the rectangle is l = 15.2 cm and breadth is b = 2.9 cm and the minimum possible measurement by scale = 0.1 cm. Then, the area of the rectangle is (Taking significant figures into consideration)

If L, R, C and V represent inductance, resistance, capacitance and potential difference respectively, then dimensions of \({L \over {RCV}}\) are the same as those of

The vibrations of a string of length 60 cm fixed at both ends are represented by the equation
\(y = 4\sin \left( {{{\pi x} \over {15}}} \right)\cos (96\pi t)\)
where x and y are in cm and t is in second. Calculate the velocity of the partic...

A ball of mass 0.5 kg is thrown up with initial speed 16 ms\(-\)1 and reaches maximum height of 9 m. How much energy is dissipated by air drag acting on the ball during the ascent?

A time dependent force F = (8t) acts on a particle of mass 2 kg. If the particle starts from rest, the work done by the force during the first 1s will be

The work done by a force acting on a body is as shown in the following graph. The total work done in covering an initial distance of 40 m is