JEE Main 2022 (Online) 27th June Evening Shift

If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the dimension of time?

Given below are two statements :
Statement I : In hydrogen atom, the frequency of radiation emitted when an electron jumps from lower energy orbit (E1) to higher energy orbit (E2), is given as hf = E1 \(-\) E2
Statement II : The jumping of ...

A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is $${x \over {15}}{{{ \in _0}A} \over...

A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of change in its velocit...

We do not transmit low frequency signal to long distances because-
(a) The size of the antenna should be comparable to signal wavelength which is unreal solution for a signal of longer wavelength.
(b) Effective power radiated by a long wave...

The current density in a cylindrical wire of radius r = 4.0 mm is 1.0 \(\times\) 106 A/m2. The current through the outer portion of the wire between radial distances \({r \over 2}\) and r is x\(\pi\) A; where x is __________.

In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum, will be \(\sqrt {{x \over 2}}\). The value of x is __________.

A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards East. The horizontal component of the Earth's magnetic field at that place is 4 \(\times\) 10\(-\)3 T and the angle of dip ...

Given below are two statements :
Statement I : A time varying electric field is a source of changing magnetic field and vice-versa. Thus a disturbance in electric or magnetic field creates EM waves.
Statement II : In a material medium, the ...

For a transistor to act as a switch, it must be operated in

The cut-off voltage of the diodes (shown in figure) in forward bias is 0.6 V. The current through the resister of 40 \(\Omega\) is __________ mA.

If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be :

Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as shown in figure). They form an equilateral triangle of side 1m.
The ratio of net force on a charged ball to the force betwe...

A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect option for the r...

The distance of the Sun from earth is 1.5 \(\times\) 1011 m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be :

Four spheres each of mass m from a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of the system is :

For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows :

According to kinetic theory of gases,
A. The motion of the gas molecules freezes at 0\(^\circ\)C.
B. The mean free path of gas molecules decreases if the density of molecules is increased.
C. The mean free path of gas molecules increases if...

A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the initial speed of bullet is :
(Given : initial temperature of the bullet = 127\(^\circ\)C, Melting point of the bullet = ...

A diatomic gas (\(\gamma\) = 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the process is __________ J.

A mass of 10 kg is suspended vertically by a rope of length 5 m from the roof. A force of 30 N is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is \(\theta\) = tan\(-\)1...

Two long parallel conductors S1 and S2 are separated by a distance 10 cm and carrying currents of 4A and 2A respectively. The conductors are placed along x-axis in X-Y plane. There is a point P located between the conductors (as shown in fi...

A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field. If rd and rp are the radii of their circular paths respectively, then the ratio \({{{r_d}} \over {{r_p}}}\) will be $$...

When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The ap...

One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a small object of mass m lying on a frictionless table. The spring remains horizontal on the table. If the object is made t...

A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of 3 kg through a string of fixed length and pulley as shown in figure. Consider PR as friction free surface. The velocity of centre of mass of the wheel...

The equation of a particle executing simple harmonic motion is given by \(x = \sin \pi \left( {t + {1 \over 3}} \right)m\). At t = 1s, the speed of particle will be
(Given : \(\pi\) = 3.14)

A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ___________ s.

The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :

If a wave gets refracted into a denser medium, then which of the following is true?