List of top Questions asked in JEE Main

A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is :

Given below are two statements:
Statement-I : The reactance of an ac circuit is zero. It is possible that the circuit contains a capacitor and an inductor.
Statement-II : In ac circuit, the average power delivered by the source never becomes zero.
In the light of the above statements, choose the correct answer from the options given below.

The terminal velocity $(v_t)$ of the spherical rain drop depends on the radius (r) of the spherical rain drop as

The relation between root mean square speed $(v_{rms})$ and most probable speed ($v_p$) for the molar mass M of oxygen gas molecule at the temperature of 300 K will be

The current sensitivity of a galvanometer can be increased by:
(A) decreasing the number of turns
(B) increasing the magnetic field
(C) decreasing the area of the coil
(D) decreasing the torsional constant of the spring Choose the most appropriate answer from the options given below:

The current $I$ in the given circuit will be

$7$ mole of certain monoatomic ideal gas undergoes a temperature increase of $40\, K$ at constant pressure The increase in the internal energy of the gas in this process is (Given $R =83\, JK ^{-1}\, mol ^{-1}$)

A radio can tune to any station in $6\, MHz$ to $10\, MHz$ band The value of corresponding wavelength bandwidth will be :

The half life period of a radioactive substance is 60 days The time taken for $\frac{7}{8}$ th of its original mass to disintegrate will be :

In the case of amplitude modulation to avoid distortion the modulation index $(\mu)$ should be:

Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to $\frac{1}{8}$ of its original volume while the gas in B is com pressed adiabatically to $\frac{1}{8}$ of its original volume. The ratio of final pressure of gas in B to that of gas in A is

Given below two statements: One is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A) : Non-polar materials do not have any permanent dipole moment.
Reason (R) :When a non-polar material is placed in an electric field, the centre of the positive charge distribution of it’s individual atom or molecule coincides with the centre of the negative charge distribution.
In the light of above statements, choose the most appropriate answer from the options given below.

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $\varphi = 5t^3 + 4t^2 + 2t - 5$ Weber. If the resistance of the coil is 5 ohm, then the induced current through the coil at t = 2 s will be,

The elastic behavior of material for linear stress and linear strain, is shown in the figure. The energy density for a linear strain of 5×10^–4 is ____ kJ/m³. Assume that material is elastic up to the linear strain of 5×10^–4

A 10 Ω, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch. Now after switch is opened current becomes zero in 100 μs. The average e.m.f. induced in the coil is ____V

As per the given circuit, the value of current through the battery will be ______ A

A 110 V,50 Hz,AC source is connected in the circuit (as shown in figure).

The current through the resistance 55Ω, at resonance in the circuit, will be _______ A

An ideal fluid of density 800kgm^–3, flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to $\frac{a}{2}$. The pressure difference between the wide and narrow sections of pipe is 4100 Pa. At wider section, the velocity of fluid is$\frac{\sqrt{x}}{6}$ ms¹ for x=_______. (Given g=10 ms^-2)

A person is standing in an elevator. In which situation, he experiences weight loss?

A block ‘A’ takes 2 s to slide down a frictionless incline of 30° and length ‘l’, kept inside a lift going up with uniform velocity ‘v’. If the incline is changed to 45°, the time taken by the block, to slide down the incline, will be approximately

Which statements are correct about degrees of freedom?
(A) A molecule with n degrees of freedom has n² different ways of storing energy.
(B) Each degree of freedom is associated with (1/2)RT average energy per mole.
(C) A monatomic gas molecule has 1 rotational degree of freedom whereas diatomic molecule has 2 rotational degrees of freedom.
(D) CH₄ has a total of 6 degrees of freedom.

Choose the correct answer from the option given below: