List of top Questions asked in JEE Main- 2023

If a planet has mass equal to 16 times the mass of earth, and radius equal to 4 times that of earth. The ratio of escape speed of a planet to that of earth is?

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R Assertion (A): Earth has atmosphere and moon doesn’t Reason (R): escape speed on moon is less than that Earth. In the light of the above statements, choose the correct answer from the options given below

An engine operating between the boiling and freezing points of water will have 
A. efficiency more than 27%  
B. efficiency less than the efficiency a Carnot engine operating between the same two temperatures.  
C. efficiency equal to 27%  
D. efficiency less than 27% 

A point charge of $10\, \mu C$ is placed at the origin At what location on the $X$-axis should a point charge of $40 \, \mu C$ be placed so that the net electric field is zero at $x=2 \, cm$ on the $X$-axis?
A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying the load is 250 cm². The maximum pressure the smaller piston would have to bear is [Assume g = 10 m/s²]:
The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27°C is
An electromagnetic wave is transporting energy in the negative $z$ direction At a certain point and certain time the direction of electric field of the wave is along positive $y$ direction What will be the direction of the magnetic field of the wave at that point and instant?
A person observes two moving trains, ‘A’ reaching the station and ‘B’ leaving the station with equal speed of 30 m/s. If both trains emit sounds with frequency 300 Hz, (Speed of sound: 330 m/s) approximate difference of frequencies heard by the person will be:

The magnitude of magnetic induction at the mid-point O due to the current arrangement shown in the figure is:
Ques Fig

The weight of a body on the surface of the earth is 100 N. The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the earth is:
Choose the incorrect statement from the given statements.
Identify the correct statements from the following:
A. Work done by a man in lifting a bucket out of a well by means of a rope tied to the bucket is negative.
B. Work done by gravitational force in lifting a bucket out of a well by a rope tied to the bucket is negative.  
C. Work done by friction on a body sliding down an inclined plane is positive.  
D. Work done by an applied force on a body moving on a rough horizontal plane with uniform velocity in zero.  
E. Work done by the air resistance on an oscillating pendulum in negative.  
Choose the correct answer from the options given below:
Light wave travelling in air along $x$-direction is given by $E_y=540 \sin \pi \times 10^4(x-c t) Vm ^{-1}$ Then, the peak value of magnetic field of wave will be (Given $c =3 \times 10^8 ms ^{-1}$ )
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:
If an unbiased die, marked with $-2,-1,0,1,2,3$ on its faces, is thrown five times, then the probability that the product of the outcomes is positive, is:
From a square of side 30 cm the squares of side x cm is cut off to make a cuboid of maximum volume. The surface area of cuboid with open top is?
Let $y=x+2,4 y=3 x+6$ and $3 y=4 x+1$ be three tangent lines to the circle $(x-h)^2+(y- k )^2= r ^2$ Then $h + k$ is equal to :

Decreasing order towards \(S_N1\) reaction for the following compounds is:

Among the statements
(S1) : \((p\Rightarrow q)\vee((\sim p)\wedge q)\) is a tautology
(S2) : \((q\Rightarrow p)\Rightarrow((\sim p)\wedge q)\) is a contradiction
For the system of equations
\(x+y+z=6\)
\(x+2y+\alpha z=10\)
\(x+3y+5z=\beta\),
which one of the following is NOT true?
\(50^{\text{th}}\) root of a number \(x\) is 12 and \(50^{\text{th}}\) root of another number \(y\) is 18. Then the remainder obtained on dividing \((x+y)\) by 25 is ____________.
Different combination of 3 resistors of equal resistance \(R\) are shown in the figures. The increasing order for power dissipation is:
\(_{92}^{238}A\to\,_{90}^{234}B+\,_{2}^{4}D+Q\)
In the given nuclear reaction, the approximate amount of energy released will be:
[Given, mass of \(_{92}^{238}A=238.05079\times931.5\ \mathrm{MeV/c^2}\), mass of \(_{90}^{234}B=234.04363\times931.5\ \mathrm{MeV/c^2}\), mass of \(_{2}^{4}D=4.00260\times931.5\ \mathrm{MeV/c^2}\)]
The sum to 20 terms of the series \(2\cdot2^{2}-3^{2}+2\cdot4^{2}-5^{2}+2\cdot6^{2}-\ldots\ldots\) is equal to __________.
Let the mean of the data
\(x\)13579
Frequency (\(f\))42428\(\alpha\)8
be 5. If \(m\) and \(\sigma^2\) are respectively the mean deviation about the mean and the variance of the data, then \(\dfrac{3\alpha}{m+\sigma^2}\) is equal to __________.