JEE Main 2021 (Online) 22th July Evening Shift

In a circuit consisting of a capacitance and a generator with alternating emf Eg = Eg0 sin\(\omega\)t, VC and IC are the voltage and current. Correct phasor diagram for such circuit is

Match List - I with List - II



List - I

List - II




(a)
\(\omega L > {1 \over {\omega C}}\)
(i)
Current is in phase with emf


(b)
\(\omega L = {1 \over {\omega C}}\)
(ii)
Curre...

A nucleus with mass number 184 initially at rest emits an \(\alpha\)-particle. If the Q value of the reaction is 5.5 MeV, calculate the kinetic energy of the \(\alpha\)-particle.

A bullet of '4 g' mass is fired from a gun of mass 4 kg. If the bullet moves with the muzzle speed of 50 ms\(-\)1, the impulse imparted to the gun and velocity of recoil of gun are :

The position of the centre of mass of a uniform semi-circular wire of radius 'R' placed in x-y plane with its centre at the origin and the line joining its ends as x-axis is given by \(\left( {0,{{xR} \over \pi }} \right)\). Then, the value...

What should be the height of transmitting antenna and the population covered if the television telecast is to cover a radius of 150 km? The average population density around the tower is 2000/km2 and the value of Re = 6.5 \(\times\) 106 m.

A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al) rod as shown in figure. Find the resistance of the combination between the ends A and B.(Take Resistivity of Copper = 1.7 \(\times\) 10...

In an electric circuit, a cell of certain emf provides a potential difference of 1.25 V across a load resistance of 5\(\Omega\). However, it provides a potential difference of 1 V across a load resistance of 2\(\Omega\). The emf of the cell...

An electron of mass me and a proton of mass mp are accelerated through the same potential difference. The ratio of the de-Broglie wavelength associated with the electron to that with the proton is

Intensity of sunlight is observed as 0.092 Wm\(-\)2 at a point in free space. What will be the peak value of magnetic field at the point?(\({\varepsilon _0} = 8.85 \times {10^{ - 12}}{C^2}{N^{ - 1}}{m^{ - 2}}\))

Consider a situation in which reserve biased current of a particular P-N junction increases when it is exposed to a light of wavelength \(\le\) 621 nm. During this process, enhancement in carrier concentration takes place due to generation ...

In a given circuit diagram, a 5 V zener diode along with a series resistance is connected across a 50 V power supply. The minimum value of the resistance required, if the maximum zener current is 90 mA will be __________ \(\Omega\).

An electric dipole is placed on x-axis in proximity to a line charge of linear charge density 3.0 \(\times\) 10\(-\)6 C/m. Line charge is placed on z-axis and positive and negative charge of dipole is at a distance of 10 mm and 12 mm from t...

The total charge enclosed in an incremental volume of 2 \(\times\) 10\(-\)9 m3 located at the origin is ___________ nC, if electric flux density of its field is found asD = e\(-\)x sin y \(\widehat i\) \(-\) e\(-\)x cos y \(\widehat j\) + 2...

A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 90\(^\circ\) with each other. The angle of reflection and refraction are respectively r and r'. The c...

A ray of light passing through a prism (\(\mu\) = \(\sqrt 3\)) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is _____________ (in degrees).

A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infinity. The time taken by it to reach height h is ___________ s.

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?

The area of cross-section of a railway track is 0.01 m2. The temperature variation is 10\(^\circ\)C. Coefficient of liner expansion of material of track is 10\(-\)5/\(^\circ\)C. The energy stored per meter in the track is ____________ J/m.(...

Choose the correct option

Statement I : The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet.Statement II : At high temperature, the domain wall area of a ferromagnetic substance increases.In the light of the above s...

In 5 minutes, a body cools from 75\(^\circ\)C to 65\(^\circ\)C at room temperature of 25\(^\circ\)C. The temperature of body at the end of next 5 minutes is _________\(^\circ\) C.

Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined plane without slipping. Assume that they start rolling from rest and having identical diameter.The correct statement for this situation...

The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same level as the centre will be moving at a speed \(\sqrt x {v_0}\). Then the value of x is _____________.

T0 is the time period of a simple pendulum at a place. if the length of the pendulum is reduced to \({1 \over {16}}\) times of its initial value, the modified time period is :

Three students S1, S2 and S3 perform an experiment for determining the acceleration due to gravity (g) using a simple pendulum. They use different lengths of pendulum and record time for different number of oscillations. The observations ar...

What will be the projection of vector \(\overrightarrow A = \widehat i + \widehat j + \widehat k\) on vector \(\overrightarrow B = \widehat i + \widehat j\) ?

Three particles P, Q and R are moving along the vectors \(\overrightarrow A = \widehat i + \widehat j\), \(\overrightarrow B = \widehat j + \widehat k\) and \(\overrightarrow C = - \widehat i + \widehat j\) respectively. They strike on ...

The motion of a mass on a spring, with spring constant K is as shown in figure.The equation of motion is given by x(t) = A sin\(\omega\)t + B cos\(\omega\)t with \(\omega\) = \(\sqrt {{K \over m}}\)Suppose that at time t = 0, the position ...

A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a constant velocity. Calculate the work done by the porter in lowering the suitcase.(take g = 9.8 ms\(-\)2)