List of top Questions asked in JEE Main

The output of the circuit is low (zero) for:

(A) $ X = 0, Y = 0 $
(B) $ X = 0, Y = 1 $
(C) $ X = 1, Y = 0 $
(D) $ X = 1, Y = 1 $
Choose the correct answer from the options given below:

Arrange the following in the ascending order of wavelength ($ \lambda $):
(A) Microwaves ($ \lambda_1 $)
(B) Ultraviolet rays ($ \lambda_2 $)
(C) Infrared rays ($ \lambda_3 $)
(D) X-rays ($ \lambda_4 $)
Choose the most appropriate answer from the options given below:

A wire of resistance $ R $ is bent into a triangular pyramid as shown in the figure, with each segment having the same length. The resistance between points $ A $ and $ B $ is $ \frac{R}{n} $. The value of $ n $ is:

Two long parallel wires X and Y, separated by a distance of 6 cm, carry currents of 5 A and 4 A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance of 4 cm from wire Y is $ 3 \times 10^{-5} $ T. The value of $ x $, which represents the distance of point P from wire X, is$ \_\_\_\_\_$ cm. (Take permeability of free space as $ \mu_0 = 4\pi \times 10^{-7} $ SI units.)

Given below are two statements, one labeled as Assertion (A) and the other as Reason (R).
Assertion (A): In Young’s double slit experiment, the fringes produced by red light are closer compared to those produced by blue light.
Reason (R): The fringe width is directly proportional to the wavelength of light.
In the light of the above statements, choose the correct answer from the options given below:

A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a screen with 10th bright fringe having its centre at a distance of 10 mm from the central maximum. Distance of the centre of the same 10th bright fringe from the central maximum when the source of light is replaced by another source of wavelength 660 nm would be:

Given below are two statements, one labeled as Assertion (A) and the other as Reason (R). Assertion (A): In Young’s double slit experiment, the fringes produced by red light are closer compared to those produced by blue light. Reason (R): The fringe width is directly proportional to the wavelength of light. In the light of the above statements, choose the correct answer from the options given below:

In YDSE, light of intensity $ 4I $ and $ 9I $ passes through two slits respectively. Difference of maximum and minimum intensity of interference pattern is:

Power of point source is 450 watts. Radiation pressure on a perfectly reflecting surface at a distance of 2 meters is:

In YDSE, light of intensity 4I and 9I passes through two slits respectively. The difference of maximum and minimum intensity of the interference pattern is:

The ratio of intensities of two coherent sources is 1:9. The ratio of the maximum to the minimum intensities is:

A lens of focal length 20 cm in air is made of glass with a refractive index of 1.6. What is its focal length when it is immersed in a liquid of refractive index 1.8?

Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is :

Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is

If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the central maximum is 30° in a single slit diffraction pattern recorded using 628 nm light, then the width of the slit is ____ $\mu$m.

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance $ R_p = 1 \, \Omega $ as shown in the figure. An external resistance of $ R_e = 2 \, \Omega $ is connected via the sliding contact.
The current $ i $ is :

Given below are two statements: Statement-I: The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II: The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries. In light of the above statements, choose the correct answer from the options given below.

Consider a n-type semiconductor in which $ n_e $ and $ n_h $ are the number of electrons and holes, respectively.

Consider a long thin conducting wire carrying a uniform current $ I $. A particle having mass $ M $ and charge $ q $ is released at a distance $ a $ from the wire with a speed $ v_0 $ along the direction of current in the wire. The particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance $ x $ from the wire. The value of $ x $ is:

A coil of area $ A $ and $ N $ turns is rotating with angular velocity $ \omega $ in a uniform magnetic field $ \mathbf{B} $ about an axis perpendicular to $ \mathbf{B} $. Magnetic flux $ \phi $ and induced emf $ \varepsilon $ across it, at an instant when $ \mathbf{B} $ is parallel to the plane of the coil, are:

A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the centre of mass of the sphere and rotational kinetic energy is:

The magnetic field of an E.M. wave is given by: \[ \vec{B} = \left( \frac{\sqrt{3}}{2} \hat{i} + \frac{1}{2} \hat{j} \right) 30 \sin \left( \omega \left( t - \frac{z}{c} \right) \right) \] The corresponding electric field in S.I. units is:

An infinite wire has a circular bend of radius $ a $, and carrying a current $ I $ as shown in the figure. The magnitude of the magnetic field at the origin $ O $ of the arc is given by:

The frequency of revolution of the electron in Bohr’s orbit varies with $ n $, the principal quantum number as:

A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at the 40 cm mark. A mass of 400 g is suspended at the 10 cm mark. To maintain the balance of the rod, the mass to be suspended at the 90 cm mark is: