JEE Main 2021 (Online) 27th July Evening Shift

A 100\(\Omega\) resistance, a 0.1 \(\mu\)F capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant f...

Consider the following statements :A. Atoms of each element emit characteristics spectrum.B. According to Bohr's Postulate, an electron in a hydrogen atom, revolves in a certain stationary orbit.C. The density of nuclear matter depends on t...

The K\(\alpha\) X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atoms with a K electron knocked out is 27.5 keV, the energy of this atom when an L electron is knocked out will be __________ keV. (Round off to the ...

Match List I with List II.



List - I

List - II




(a)
Capacitance, C
(i)
\({M^1}{L^1}{T^{ - 3}}{A^{ - 1}}\)


(b)
Permittivity of free space, \({\varepsilon _0}\)
(ii)
$${M^{ - 1...

A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the electric field produced by two conducting parallel plates as shown. The value of deflection of pendulum in equilibrium position will be

The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to be 3V. The modulation index is 0.6x where x is ____________.

The resistance of a conductor at 15\(^\circ\)C is 16\(\Omega\) and at 100\(^\circ\)C is 20\(\Omega\). What will be the temperature coefficient of resistance of the conductor?

For the circuit shown, the value of current at time t = 3.2 s will be _________ A.[Voltage distribution V(t) is shown by Fig. (1) and the circuit is shown in Fig. (2)]

An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV. The proton captures the electron and forms a hydrogen atom in second excited state. The resulting photon is incident on a...

In the given figure the magnetic flux through the loop increases according to the relation \(\phi\)B(t) = 10t2 + 20t, where \(\phi\)B is in milliwebers and t is in seconds. The magnitude of current through R = 2\(\Omega\) resistor at t = 5...

Find the truth table for the function Y of A and B represented in the following figure.

What will be the magnitude of electric field at point O as shown in the figure? Each side of the figure is l and perpendicular to each other?

The expected graphical representation of the variation of angle of deviation '\(\delta\)' with angle of incidence 'i' in a prism is :

Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their mutual gravitational attraction. The angular speed of each particle is :

The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 \(\times\) 103 km. Find the mass of Mars.$$\left\{ {Given\,{{4{\pi ^2}} \over G} = 6 \times {{10}^{11}}{N^{ - 1}}{m^{ - 2}}k{g^2}} \...

One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27\(^\circ\) C to 37\(^\circ\) C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is tr...

Two Carnot engines A and B operate in series such that engine A absorbs heat at T1 and rejects heat to a sink at temperature T. Engine B absorbs half of the heat rejected by Engine A and rejects heat to the sink at T3. When workdone in both...

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation \(F = {F_0}\left[ {1 - {{\left( {{{t - T} \over T}} \right)}^2}} \right]\)Where F0 and T ar...

Figure A and B shown to long straight wires of circular cross-section (a and b with a < b), carrying current I which is uniformly distributed across the cross-section. The magnitude of magnetic field B varies with radius r and can be repres...

A swimmer wants to cross a river from point A to point B. Line AB makes an angle of 30\(^\circ\) with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle \(\theta\) with the line AB should be ____...

A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above the ground. Assume that the drop is spherical throughout its fall and the force of buoyance may be neglected, then the terminal speed attained by the raindrop...

The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a depth 'h' below the water level. The value of 'h' for which the emerging steam of water strikes the ground at the maximum r...

In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case of same rotational kinetic energy, the ratio of rotational inertias \(\left( {{{{I_1}} \over {{I_2}}}} \right)\) will be...

An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T) is 0.2 s. What will be the potential energy of the object at an instant \(t = {T \over 4}s\) starting from mean position. Assume that the...

A particle executes simple harmonic motion represented by displacement function as x(t) = A sin(\(\omega\)t + \(\phi\))If the position and velocity of the particle at t = 0 s are 2 cm and 2\(\omega\) cm s\(-\)1 respectively, then its amplit...

A physical quantity 'y' is represented by the formula \(y = {m^2}{r^{ - 4}}{g^x}{l^{ - {3 \over 2}}}\)If the percentage errors found in y, m, r, l and g are 18, 1, 0.5, 4 and p respectively, then find the value of x and p.

The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness is one. The thickness of the air column is ___________ mm. [Refractive index of air = 1.0003, wavelength of yellow light...

Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional motion, while a conservative force F(x) acts on it. Suppose that Emech = 8 J, the incorrect statement for this system is :
[...

An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant power P. The position is given as a function of time by :

A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which the block will lose contact with the surface of the sphere is __________ m.(Assume there is no friction between the block...