NTA JEE Main 2025 April 7th Shift 1

A rod of length 5L is bent right angle keeping one side length as 2L.

The position of the centre of mass of the system: (Consider L = 10 cm)

The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility $$\chi_{mg} = 1.2 \times 10^{-5}$$) is :

A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal length of the lens when it is placed in water. (Take refractive index of water as 1.28)

An ac current is represented as $$i = 5\sqrt{2} + 10\cos\left(650\pi t + \frac{\pi}{6}\right)$$ Amp. The r.m.s value of the current is :

Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is :

In the following circuit, the reading of the ammeter will be (Take Zener breakdown voltage = 4 V)

Two projectiles are fired from ground with same initial speeds from same point at angles $$(45^\circ + \alpha)$$ and $$(45^\circ - \alpha)$$ with horizontal direction. The ratio of their times of flights is

Match the List-I with List-II.

Choose the correct answer from the options given below : 

A cubic block of mass m is sliding down on an inclined plane at $$60^{\circ}$$ with an acceleration of $$\frac{g}{2}$$, the value of coefficient of kinetic friction is

In a hydrogen like ion, the energy difference between the 2nd excitation energy state and ground state is 108.8 eV. The atomic number of the ion is