NTA JEE Main 2025 April 7th Shift 2

The helium and argon are put in the flask at the same room temperature (300 K). The ratio of average kinetic energies (per molecule) of helium and argon is : (Molar mass of helium = 4 g/mol, Molar mass of argon = 40 g/mol)

A capillary tube of radius 0.1 mm is partly dipped in water (surface tension 70 dyn/cm and glass water contact angle $$\simeq 0^\circ$$) with $$30^\circ$$ inclined with vertical. The length of water risen in the capillary is _____ cm. (Take $$g = 9.8$$ m/s$$^2$$)

A mirror is used to produce an image with magnification of $$\frac{1}{4}$$. If the distance between object and its image is 40 cm, then the focal length of the mirror is :

A dipole with two electric charges of 2 $$\mu$$C magnitude each, with separation distance 0.5 $$\mu$$m, is placed between the plates of a capacitor such that its axis is parallel to an electric field established between the plates when a potential difference of 5 V is applied. Separation between the plates is 0.5 mm. If the dipole is rotated by 30° from the axis, the value of the torque is :

Consider the following logic circuit. The output is Y = 0 when :

Match List-I with List-II.

Choose the correct answer from the options given below :

The equation of a wave travelling on a string is $$y = \sin[20\pi x + 10\pi t]$$, where x and t are in SI units. The minimum distance between two points having the same oscillating speed is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R).
Assertion (A) : Refractive index of glass is higher than that of air.
Reason (R) : Optical density of a medium is directly proportionate to its mass density which results in a proportionate refractive index.
In the light of the above statements, choose the most appropriate answer from the options given below :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R).
Assertion (A) : Magnetic monopoles do not exist.
Reason (R) : Magnetic field lines are continuous and form closed loops.
In the light of the above statements, choose the most appropriate answer from the options given below :

Which one of the following forces cannot be expressed in terms of potential energy?