JEE Main 2021 (Online) 1st September Evening Shift

For the given circuit the current i through the battery when the key in closed and the steady state has been reached is __________.

The half life period of radioactive element x is same as the mean life time of another radioactive element y. Initially they have the same number of atoms. Then :

A capacitor is connected to a 20 V battery through a resistance of 10\(\Omega\). It is found that the potential difference across the capacitor rises to 2 V in 1 \(\mu\)s. The capacitance of the capacitor is __________ \(\mu\)F. Given : $$\...

A carrier wave with amplitude of 250 V is amplitude modulated by a sinusoidal base band signal of amplitude 150V. The ratio of minimum amplitude to maximum amplitude for the amplitude modulated wave is 50 : x, then value of x is ___________...

Due to cold weather a 1 m water pipe of cross-sectional area 1 cm2 is filled with ice at \(-\)10\(^\circ\)C. Resistive heating is used to melt the ice. Current of 0.5A is passed through 4 k\(\Omega\) resistance. Assuming that all the heat p...

Two resistors R1 = (4 \(\pm\) 0.8) \(\Omega\) and R2 = (4 \(\pm\) 0.4) \(\Omega\) are connected in parallel. The equivalent resistance of their parallel combination will be :

A uniform heating wire of resistance 36\(\Omega\) is connected across a potential difference of 240 V. The wire is then cut into half and potential difference of 240V is applied across each half separately. The ratio of power dissipation in...

The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-Broglie wavelength of the electron approximately at 300 K, is :[me = mass of electron = 9 \(\times\) 10\(-\)31 kg, h = Planck constant = 6.6 \(\times\) 6.6 $$\ti...

A square loop of side 20 cm and resistance 1\(\Omega\) is moved towards right with a constant speed v0. The right arm of the loop is in a uniform magnetic field of 5T. The field is perpendicular to the plane of the loop and is going into it...

Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by E = 20cos(2 \(\times\) 1010 t \(-\) 200x) V/m. The dielectric constant of the medium is equal to : (Take \(\mu\)r = 1)

In the given figure, each diode has a forward bias resistance of 30\(\Omega\) and infinite resistance in reverse bias. The current I1 will be :

A cube is placed inside an electric field, \(\overrightarrow E = 150{y^2}\widehat j\). The side of the cube is 0.5 m and is placed in the field as shown in the given figure. The charge inside the cube is :

A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (\(\mu\) = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring w...

Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction as shown in figure. The speed of each particle is :

Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour and 8 hours respectively. The radius of the orbit of nearer satellite is 2 \(\times\) 103 km. The angular ...

The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0\(^\circ\)C without changing the pressure of the gas. The molecules in the gas rotate but do not oscillate. If the ratio of change in internal energy of the gas to the...

The average translational kinetic energy of N2 gas molecules at .............\(^\circ\)C becomes equal to the K.E. of an electron accelerated from rest through a potential difference of 0.1 volt. (Given kB = 1.38 \(\times\) 10\(-\)23 J/K) (...

A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is : Given m = 8 kg, M = 16 kg Assume all the surfaces shown in the figure to be ...

An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictionless surface with following surface profile.The correct applied force vs distance graph will be :

When a body slides down from rest along a smooth inclined plane making an angle of 30\(^\circ\) with the horizontal, it takes time T. When the same body slides down from the rest along a rough inclined plane making the same angle and throug...

Following plots show magnetization (M) vs magnetizing field (H) and magnetic susceptibility (\(\chi\)) vs temperature (T) graph :Which of the following combination will be represented by a diamagnetic material?

There are two infinitely long straight current carrying conductors and they are held at right angles to each other so that their common ends meet at the origin as shown in the figure given below. The ratio of current in both conductor is 1 ...

The ranges and heights for two projectiles projected with the same initial velocity at angles 42\(^\circ\) and 48\(^\circ\) with the horizontal are R1, R2 and H1, H2 respectively. Choose the correct option :

A steel rod with y = 2.0 \(\times\) 1011 Nm\(-\)2 and \(\alpha\) = 10\(-\)5 \(^\circ\)C\(-\)1 of length 4 m and area of cross-section 10 cm2 is heated from 0\(^\circ\)C to 400\(^\circ\)C without being allowed to extend. The tension produced...

A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and is free to rotate in vertical plane. The upper end is pushed so that the rod falls under gravity, ignoring the friction due to clamping at its lower end,...

A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4 m has the same period of oscillation as the spring system. What i...

A student determined Young's Modulus of elasticity using the formula \(Y = {{Mg{L^3}} \over {4b{d^3}\delta }}\). The value of g is taken to be 9.8 m/s2, without any significant error, his observation are as following.
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The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of the light coming from a slit is proportional to the slit-width, the ratio of minimum to maximum intensity in the interf...

A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8\(\sqrt {gh}\). The value of workdone by the air-friction is :

An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 40,000 kg is moving with a speed of 72 kmh\(-\)1 when the brakes are applied to bring it to rest. In the process of the system being ...