List of top Questions asked in JEE Main- 2023

For three positive integers $p , q , r , x^{p q^2}=y^{y r}=z^{p^2 r }$ and $r = pq +1$ such that $3,3 \log _y x, 3 \log _z y$ $7 \log _x z$ are in AP with common difference $\frac{1}{2}$ Then $r-p-q$ 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 distance of the point $(7,-3,-4)$ from the plane passing through the points $(2,-3,1),(-1,1,-2)$ and $(3,-4,2)$ is :

The compound statement $(-(P \wedge Q)) \vee((-P) \wedge Q) \Rightarrow((-P) \wedge(-Q))$ is equivalent to

The relation $R =\{(a, b)$ : $\operatorname{gcd}(a, b)=1,2 a \neq b, a, b \in Z\}$ is :

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 :

When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called :

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 frequency ($ \nu $) of an oscillating liquid drop may depend upon the radius ($ r $) of the drop, density ($ \rho $) of the liquid, and the surface tension ($ s $) of the liquid as: \[ \nu = k r^a \rho^b s^c \]
The values of $ a $, $ b $, and $ c $ respectively are:

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:

Given below are two statements:

Assertion (A): A pendulum clock when taken to Mount Everest becomes fast.
Reason (R): The value of $ g $ (acceleration due to gravity) is less at Mount Everest than its value on the surface of Earth.

In the light of the above statements, choose the most appropriate answer from the options given below:

If the distance of the Earth from the Sun is $ 1.5 \times 10^6 \, \text{km} $, then the distance of an imaginary planet from the Sun, if its period of revolution is $ 2.83 \, \text{years} $, is:

The number of s-electrons present in an ion with 55 protons in its unipositive state is

Which of the following cannot be explained by crystal field theory?

The shortest distance between the lines $x+1=2 y=-12 z$ and $x=y+2=6 z-6$ is

Increasing order of stability of the resonance structures is: Choose the correct answer from the options given below: