NTA JEE Mains 24th Jan 2026 Shift 2

A regular hexagon is fonned by six wires each of resistance $$r \Omega$$ and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and and leaves at. the opposite corner,the equivalent. resistance of the hexagon between the two opposite corners will be

The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is ___ A.

10 mole of an ideal gas is undergoing the process showu in the figure. The heat involved in the process from $$P_{1}$$ to $$P_{2}$$ is $$\alpha$$ Joule(P_{1}= 21.7Pa and $$P_{2} = 30$$ Pa, $$C_{v}=21J/K.mol, R=8.3 J/mol.K.$$) The value od $$\alpha$$ is _________.

Three parallel plate capacitors each with area A and separation dare filled with two dielectric $$(k_{1} \text{and} k_{2})$$ in the following fashion. Which of the following is true? $$(k_{1}>  k_{2})$$

A thin unifonn rod (X) of mass Mand length L is pivoted at a height $$(\frac{L}{3})$$ as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is __________.
(g = gravitational acceleration)

Two identical circular loops P and Q each of radius r are lying in parallel planes such that they have common axis. The current through P and Q are J and 41 respectively in clockwise direction as seen from 0 . The net magnetic field at O is:

A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will

A flexible chain of mass m hangs between two fixed points at the same level. The inclination of the chain with the horizontal at the two points of support is $$30^{\circ}$$. Considering the equilibrium of each half of the chain, the tension of the chain at the lowest point is __________.

In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division= 0.05 mm, then the least count of the vernier callipers is__________ mm.

The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is 5/x. The value of x is ______.