JEE Main entrance exam Question Bank Solutions for Physics (JEE Main)

An overhead tank of capacity 10 k litre is kept at the top of building 15 m high. Water falls in tank with speed 5`sqrt2` m/s. Water level is at a depth 5 m below ground. The tank is to be filled in `1/2` hr. If efficiency of pump is 67.5% electric power used is ______ W.

A single conservative force acts on a body of mass 1 kg that moves along the x-axis. The potential energy U(x) is given by U (x) = 20 + (x - 2)², where x is in meters. At x = 5.0 m the particle has a kinetic energy of 20 J, then the maximum kinetic energy of body is ______ J.

A mercury pallet is trapped in a tube as shown in the figure. The tube is slowly heated to expel all mercury inside it (Isothermal condition). Heat given to the tube is ______.

(ρHg = 13.6 gm/cc, Atmospheric pressure = 10⁵ Pa, cross- section area of tube = 2 cm²)

A source of monochromatic light liberates 9 × 10²⁰ photon per second with wavelength 600 nm when operated at 400 W. The number of photons emitted per second with wavelength of 800 nm by the source of monochromatic light operating at same power will be:

Mass numbers of two nuclei are in the ratio of 4 : 3. Their nuclear densities will be in the ratio of ______.

Which of the following are the constituents of the nucleus?

A Zener diode is to be used as a voltage regulator. Identify the correct setup.

Using a long extension cord in which each conductor has a resistance of 8Ω, a bulb marked as '100 W, 200 V' is connected to a 220 V dc supply of negligible internal resistance as shown in the figure. The power delivered to the bulb is ______ W.

A force shown in the F-x graph is applied to a 5 kg cart, which then coasts up a ramp as shown. The maximum height, y_max is ______ m, at which the cart can reach.

(g = 10 m/s²)

Given below are two statements:

Statement - I: Two photons having equal linear momenta have equal wavelengths.

Statement - II: If the wavelength of photon is decreased, then the momentum and energy of a photon will also decrease.

In the light of the above statements, choose the correct answer from the options given below.

In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'. The value of x is ______.

Identify the logic operation carried out by the given circuit:

²³Ne decays to ²³Na by negative beta emission. Mass of ²³Ne is 22.994465 amu mass of ²³Na is 22.989768 amu. The maximum kinetic energy of emitted electrons neglecting the kinetic energy of recoiling product nucleus is ______ MeV.

A plane loop is shaped in the form as shown in figure with radii a = 20 cm and b = 10 cm and is placed in a uniform time varying magnetic field B = B₀ sin ωt, where B₀ = 10 mT and ω = 100 rad/s. The amplitude of the current induced in the loop if its resistance per unit length is equal to 50 × 10^-3 Ω/m. The inductance of the loop is negligible is ______ A.

Two particles move at a right angle to each other. Their de-Broglie wavelengths are λ₁ and λ₂ respectively. The particles suffer a perfectly inelastic collision. The de-Broglie wavelength λ, of the final particle, is given by ______.

A gas undergoes a process in which the pressure and volume are related by VPⁿ = constant. The bulk modulus of the gas is ______.

The De-Broglie wavelength of electron in the third Bohr orbit of hydrogen is ______ × 10^-11 m (given radius of first Bohr orbit is 5.3 × 10^-11 m):

A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number of turns per cm is halved, the new value of magnetic field will be equal to ______.

A ball falling in a lake of depth 200 m shows a decrease of 0.1% in its volume. The bulk modulus of elasticity of the material of the ball is ______.

(Take g = 10 m/s²)

The given figure shows the waveforms for two inputs A and B and that for the output Y of a logic circuit. The logic circuit is ______.