NTA JEE Main 2025 April 3rd Shift 2

Match the LIST-I with LIST-II.

Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4% when heated by 1°C. Its initial temperature must be:

A motor operating on 100 V draws a current of 1 A. If the efficiency of the motor is 91.6%, then the loss of power in units of cal/s is

A block of mass 1 kg, moving along x with speed $$v_i = 10$$ m/s enters a rough region ranging from $$x = 0.1$$ m to $$x = 1.9$$ m. The retarding force acting on the block in this range is $$F_r = -kx$$ N, with $$k = 10$$ N/m. Then the final speed of the block as it crosses rough region is

Given below are two statements:one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If oxygen ion ($$O^{-2}$$) and Hydrogen ion ($$H^+$$) enter normal to the magnetic field with equal momentum, then the path of $$O^{-2}$$ ion has a smaller curvature than that of $$H^+$$.
Reason R: A proton with same linear momentum as an electron will form a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.
In the light of the above statement,Choose the correct answer from the options given below.

Light from a point source in air falls on a spherical glass surface (refractive index, $$\mu = 1.5$$ and radius of curvature = 50 cm). The image is formed at a distance of 200 cm inside the glass. The magnitude of distance of the light source from the glass surface is ________ m.

The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is $$n$$ times the volume of the bubble B, then the value of n is ________.

Two cells of emf 1V and 2V and internal resistance 2 $$\Omega$$ and 1 $$\Omega$$, respectively, are connected in series with an external resistance of 6 $$\Omega$$. The total current in the circuit is $$I_1$$. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is $$I_2$$. The value of $$\left(\dfrac{I_1}{I_2}\right)$$ is $$\dfrac{x}{3}$$. The value of x is ________.

An electron in the hydrogen atom initially in the fourth excited state makes a transition to $$n^{\text{th}}$$ energy state by emitting a photon of energy 2.86 eV. The integer value of n will be ________.

A physical quantity C is related to four other quantities p, q, r and s as follows: $$C = \dfrac{pq^2}{r^3 \sqrt{s}}$$. The percentage errors in the measurement of p, q, r and s are 1%, 2%, 3% and 2% respectively. The percentage error in the measurement of C will be ________ %.