List of top Questions asked in JEE Main

Let $\gamma_1$be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, $\frac{\gamma_1}{\gamma_2}$ is :

The electric potential at the center of two concentric half rings of radii $R_1$ and $R_2$, having same linear charge density $\lambda$ is :

The velocity-time graph of a body moving in a straight line is shown in the figure.

The ratio of displacement to distance travelled by the body in time 0 to 10s is:

A long solenoid is formed by winding 70 turns/cm. If 2.0 A current flows, then the magnetic field produced inside the solenoid is:

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$
Assertion A: Steel is used in the construction of buildings and bridges.
Reason R: Steel is more elastic and its elastic limit is high.
In the light of above statements, choose the most appropriate answer from the options given below:

The electric field and magnetic field components of an electromagnetic wave going through vacuum are described by:
\[ E_x = E_0 \sin(kz - \omega t), \quad B_y = B_0 \sin(kz - \omega t). \]
Then the correct relation between $ E_0 $ and $ B_0 $ is given by:

As shown in the figure, a point charge $Q$ is placed at the centre of conducting spherical shell of inner radius $a$ and outer radius $b$. The electric field due to charge $Q$ in three different regions I, II and III is given by: (I: r $<$ a, II: $a $<$ r $<$ b$, III: $r$>$b)$

An object is allowed to fall from a height $R$ above the earth, where $R$ is the radius of earth Its velocity when it strikes the earth's surface, ignoring air resistance, will be

For a simple harmonic motion in a mass spring system shown, the surface is frictionless When the mass of the block is $1\, kg$, the angular frequency is $\omega_1$ When the mass block is $2 \,kg$ the angular frequency is $\omega_2$ The ratio $\omega_2 / \omega_1$ is

In the given circuit, rms value of current $\left( I _{ rms }\right)$ through the resistor $R$ is:

A point source of $100 \,W$ emits light with $5 \%$ efficiency At a distance of $5\, m$ from the source, the intensity produced by the electric field component is:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Photodiodes are preferably operated in reverse bias condition for light intensity measurement
Reason R: The current in the forward bias is more than the current in the reverse bias for a $p-n$ junction diode
In the light of the above statements, choose the correct answer from the options given below:

Choose the correct length $( L )$ versus square of time period (T²) graph for a simple pendulum executing simple harmonic motion

The Young's modulus of a steel wire of length $6 m$ and cross-sectional area $3 \,mm ^2$, is $2 \times 10^{11}$ $N / m ^2$. The wire is suspended from its support on a given planet A block of mass $4 kg$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $\frac{1}{4}$ of its value on the earth The elongation of wire is (Take $g$ on the earth $=10\, m / s ^2$) :

For a body projected at an angle with the horizontal from the ground, choose the correct statement.

Given below are two statements : One is labelled as Assertion $A$ and the other is labelled as Reason R
Assertion A : For measuring the potential difference across a resistance of $600 \Omega$, the voltmeter with resistance $1000 \Omega$ will be preferred over voltmeter with resistance $4000 \Omega$.
Reason R : Voltmeter with higher resistance will draw smaller current than voltmeter with lower resistance.
In the light of the above statements, choose the most appropriate answer from the options given below

Let $P Q R$ be a triangle. The points $A, B$ and $C$ are on the sides $Q R, R P$ and $P Q$ respectively such that $\frac{Q A}{A R}=\frac{R B}{B P}=\frac{P C}{C Q}=\frac{1}{2}$. Then $\frac{A \text { Area }(\triangle P Q R)}{\text { Area }(\triangle A B C)}$ is equal to

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

Let a tangent to the curve $y^2=24 x$ meet the curve $x y=2$ at the points $A$ and $B$ Then the mid points of such line segments $A B$ lie on a parabola with the

The value of $\displaystyle\sum_{r=0}^{22}{ }^{22} C_r{ }^{23} C_r$ is

Ratio of molar heat capacity at constant pressure and at constant volume for monoatomic and diatomic gas is?

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R:
S-1 $\rightarrow$ Steel is used in construction of a bridge and house.
S–2 $\rightarrow$ Modulus of elasticity of steel is high.
In the light of the above statements, choose the correct answer from the options given below

Statement-I : If we move upward and downward from the surface of earth surface acceleration due to gravity decreases in both upward and downward direction.
Statement-II : Acceleration due to gravity changes by same amount when we go up to height h and depth d when h = d.
Choose the correct options based on above statements.

If frequency can be represented as f = (radius)a (density)b (surface tension)c. Find a, b, c?

When a parallel beam of white light incident on convex lens split into different colours the phenomenon is called.