List of top Questions asked in JEE Main- 2023

The amplitude of 15sin(1000πt) is modulated by 10sin(4πt) signal. The amplitude modulated signal contains frequency(ies) of
(A) 500 Hz 
(B) 2 Hz  
(C) 250 Hz  
(D) 498 Hz  
(E) 502 Hz 
Choose the correct answer from the options given below: 

A point charge \(2×10^{−2}C\) is moved from P to S in a uniform electric field of \(30NC^{−1}\) directed along positive x-axis. If coordinates of P and S are \((1,2,0) m \) and \((0,0,0) m\) respectively, the work done by electric field will be

A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational modes, the total internal energy of the system will be,

Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R.  
Assertion A : EM waves used for optical communication have longer wavelengths than that of microwave, employed in Radar technology.  
Reason R : Infrared EM waves are more energetic than microwaves, (used in Radar)  
In the light of given statements, choose the correct answer from the options given below:  

Heat energy of 184 kJ is given to ice of mass $600 g$ at −12°C. Specific heat of ice is $ 2222.3 J kg^{−1}C^{−1}$ and latent heat of ice in $ 336 kJkg^{−1} $
A. Final temperature of system will be 0°C.
B. Final temperature of the system will be greater than 0°C.  
C. The final system will have a mixture of ice and water in the ratio of 5:1.  
D. The final system will have a mixture of ice and water in the ratio of 1:5. 
E. The final system will have water only.
Choose the correct answer from the options given below:

Which of the following are true?
A. Speed of light in vacuum is dependent on the direction of propagation. 
B. Speed of light in a medium is independent of the wavelength of light. 
C. The speed of light is independent of the motion of the source. 
D. The speed of light in a medium is independent of intensity.
Choose the correct answer from the options given below:

For a particle performing linear SHM, its position (x) as a function of time (t) is given by x = Asin(ωt + δ). Given that, at t = 0, particle is at +A/2 and is moving towards x = +A. Find δ

Let A=\(\begin{bmatrix} 1 & \frac{1}{51} \\ 0 & 1\end{bmatrix}\). If B=\(\begin{bmatrix} 1 & 2 \\ -1 & -1\end{bmatrix}\)A \(\begin{bmatrix} -1 & -2 \\ 1 & 1\end{bmatrix}\), then the sum of all the elements of the matrix \(\sum^{50}_{n=1}B^n\) is equal to

Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth \(d=\frac{R}{2}\) from the surface of earth, if its weight on the surface of earth is 200 N, will be 

A radioactive nuclei X decays simultaneously to two nuclei Y and Z as:

t_½ is 12 minutes while t'_½ is 3 minutes. Find the time in which nuclei X decays 50%.

\(tan^{-1}(\frac {1+\sqrt 3}{3+\sqrt 3})+sec^{-1}(\sqrt {\frac {8+4\sqrt 3}{3+3\sqrt 3})}\) is equal to:

Pick the correct graph between potential V at distance r from centre for the uniformly charged spherical shell of radius R.
 

Mass of body = 500 kg,  μ= 0.7. Find work required to move a distance of 4 Km if the body moves with velocity 10 m/s.

Match the physical quantity in column-I with the respective dimension in column-II and choose the correct option.

The length of a conductor having resistance 160 Ω, is compressed to 25% of its initial value. The new resistance will be

Statement I : In LCR circuit, by increasing frequency current increases first then decreases.
Statement II : Power factor of LCR circuit is one.
Choose the correct option.

Assertion (A): An electrical dipole is enclosed in a closed gaussian surface. The total flux through the enclosed surface is zero. 
Reason (R): Net charge inside the enclosed surface is zero.

A circular ring is placed in magnetic field of 0.4 T. Suddenly its radius starts shrinking at the rate of 1 mm/s. Find the induced emf in the ring at r = 2 cm.

Bob P is released from the position of rest at the moment shown. If it collides elastically with an identical bob Q hanging freely then velocity of Q, just after collision is (g = 10 m/s²).

Position-time graph for a particle is parabolic and is as shown:

Choose the corresponding v – t graph.

For a system undergoing isothermal process, heat energy is supplied to the system. Choose the option showing correct statements
(a) Internal energy will increase
(b) Internal energy will decrease
(c) Work done by system is positive
(d) Work done by system is negative
(e) Internal energy remains constant

The heat passing through the cross-section of a conductor, varies with time ‘t’ as \(Q(t) = αt – βt^2 + γt^3\). (\(α, β\) and \(γ\) are positive constants.) The minimum heat current through the conductor is

Momentum-time graph of an object moving along a straight line is as shown in figure. If (P₂ – P₁) < P₁ and (t₂ – t₁) = t₁ < (t₃ – t₂) then at which points among A, B and C the magnitude of force experienced by the object is maximum and minimum respectively.