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

In an LCR series circuit, an inductor 30 mH and a resistor 1 Ω are connected to an AC source of angular frequency 300 rad/s. The value of capacitance for which, the current leads the voltage by 45° is `1/x xx 10^-3` F. Then the value of x is ______.

A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8 Ω, L = 24 mH, and C = 60 μF. The value of power dissipated at resonant conditions is 'x' kW.

The value of x to the nearest integer is ______.

A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is 5 cm and the angular speed of rotation is ω rad s^-1. The difference in the height, h (in cm) of liquid at the centre of vessel and at the side will be :

In a YDSE experiment two slits S₁ and S₂ have separation of d = 2 mm. The distance of the screen is D = 8/5 m. Source S starts moving from a very large distance towards S₂ perpendicular to S₁S₂ as shown in figure. The wavelength of monochromatic light is 500 nm. The number of maximas observed on the screen at point P as the source moves towards S₂ is 3995 + n. The value of n is ______.

In a Young's double slit experiment, the fringe width is found to be 0.4 mm. If the whole apparatus is immersed in water of refractive index `(4/3)`, without disturbing the geometrical arrangement, the new fringe width will be :

Two bar magnets oscillate in a horizontal plane in earth's magnetic field with time periods of 3 s and 4 s respectively. If their moments of inertia are in the ratio of 3 : 2 then the ratio of their magnetic moments will be ______.

A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment parallel to their respective axes. But the magnetic moment of hoop is twice of solid cylinder. They are placed in a uniform magnetic field in such a manner that their magnetic moments make a small angle with the field. If the oscillation periods of hoop and cylinder are T_h and T_c respectively, then:

The frequencies at which the current amplitude in an LCR series circuit becomes `1/sqrt2` times its maximum value are 212 rad s^-1 and 232 rad^-1. The value of resistance in the circuit is R = 5Ω. The self inductance in the circuit is ______ mH.

An LCR circuit contains resistance of 110 Ω and a supply of 220 V at 300 rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45°. If on the other hand, only inductor is removed the current leads by 45° with the applied voltage. The rms current flowing in the circuit will be ______.

In a young double-slit apparatus the screen is rotated by 60° about an axis parallel to the slits. The slit separation is 3 mm, the slit-to-screen distance (at the central fringe) is 4 m, and the wavelength of light is 450 nm. The separation between the third dark fringe on either side of the central fringe is ______.

In a Young's double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes separation of 7.2 mm. Now another light is used to produce an interference pattern with consecutive bright fringes separation of 8.1 mm. The wavelength of second light is ______ nm.

In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4 cm. The frequency of light used is ______ × 10¹⁴ Hz.

Consider a usual set-up of Young's double slit experiment with slits of equal intensity as shown in the figure. Take 'O' as the origin and the Y axis as indicated. If the average intensity between y₁ = `(lambdaD)/(4d)` and y₂ = `(lambdaD)/(4d)` equals n times the intensity of maximum, then n equal is (take average over phase difference) ______.

In the following nuclear reaction, \[\ce{D->[α]D_1->[β^-]D_2->[α]D_3->[γ]D_4}\]. The mass number of D is 182 and its atomic number is 74. The mass number and atomic number of D₄ respectively will be ______.

A resonance circuit having inductance and resistance 2 x 10^-4 H and 6.28 Ω respectively oscillates at 10 MHz frequency. The value of quality factor of this resonator is ______. [π = 3.14]

In an interference experiment, the ratio of amplitudes of coherent waves is `a_1/a_2 = 1/3.` The ratio of maximum and minimum intensities of fringes will be ______.

Foran RLC circuit driven with voltage of amplitude v_m and frequency ω₀ = `1/sqrt"LC"` the current exhibits resonance. The quality factor, Q is given by:

The power factor of an AC circuit having resistance (R ) and inductance (L) connected in series and an angular ω is ______.

Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below:

\[\ce{^2_1X + ^2_1X = ^4_2Y}\]

The binding energies per nucleon \[\ce{^2_1X}\] and \[\ce{^4_2Y}\] are 1.1 MeV and 7.6 MeV respectively. The energy released in this process is ______ MeV.

Find the Binding energy per neucleon for \[\ce{^120_50Sn}\]. Mass of proton m_p = 1.00783 U, mass of neutron m_n = 1.00867 U and mass of tin nucleus m_Sn = 119.902199 U. (take 1 U = 931 MeV)