NTA JEE Mains 23rd Jan 2025 Shift 2

Water of mass m gram is slowly heated to increase the temperature from $$T_{1}$$ to $$T_{2}$$ The change in entropy of the water, given specific heat of water is $$1Jkg^{-1}K^{-1}$$, is :

Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge attached to the pipe is $$P_{1}$$. The reading of the pressure gauge falls to $$P_{2}$$ when the valve is opened. The speed of water flowing in the pipe is proportional to

A concave mirror of focal length $$f$$ in air is dipped in a liquid of refractive index $$\mu$$. Its focal length in the liquid will be:

What is the current through the battery in the circuit shown below

5 The refractive index of the material of a glass prism is $$\sqrt{3}$$. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

The width of one of the two slits in Young's double slit experiment is d while that of the other slit is x d. If the ratio of the maximum to the minimum intensity in the interference pattern on the screen is 9:4 then what is the value of x ? (Assume that the field strength varies according to the slit width.)

Using the given P - V diagram, the work done by an ideal gas along the path ABCD is :

A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point in space and time, the electric field vector of the wave is $$E_{y}=9.3Vm^{-1}$$. Then, the magnetic field vector of the wave at that point is

The equation of a transverse wave travelling along a string is $$y(x,t)=4.0\sin[20\times 10^{-3}x+600t]mm$$ where x is in mm and t is in second. The velocity of the wave is :

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The binding energy per nucleon is found to be practically independent of the atomic number A, for nuclei with mass numbers between 30 and 170. Reason (R): Nuclear force is long range. In the light of the above statements, choose the correct answer from the options given below :