NTA JEE Mains 31st Jan 2024 Shift 2

By what percentage will the illumination of the lamp decrease if the current drops by 20%?

The resistance per centimeter of a meter bridge wire is $$r$$, with $$X$$ $$\Omega$$ resistance in left gap. Balancing length from left end is at 40 cm with 25 $$\Omega$$ resistance in right gap. Now the wire is replaced by another wire of $$2r$$ resistance per centimeter. The new balancing length for same settings will be at

A uniform magnetic field of $$2 \times 10^{-3}$$ T acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is in Y-Z plane. The current is in anticlockwise sense with reference to negative X axis. Magnitude and direction of the torque is:

An AC voltage $$V = 20\sin(200\pi t)$$ is applied to a series LCR circuit which drives a current $$I = 10\sin\left(200\pi t + \frac{\pi}{3}\right)$$. The average power dissipated is:

Given below are two statements:
Statement I: Electromagnetic waves carry energy as they travel through space and this energy is equally shared by the electric and magnetic fields.
Statement II: When electromagnetic waves strike a surface, a pressure is exerted on the surface.
In the light of the above statements, choose the most appropriate answer from the options given below:

When unpolarized light is incident at an angle of 60° on a transparent medium from air. The reflected ray is completely polarized. The angle of refraction in the medium is

In a photoelectric effect experiment a light of frequency 1.5 times the threshold frequency is made to fall on the surface of photosensitive material. Now if the frequency is halved and intensity is doubled, the number of photo electrons emitted will be:

The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is:

The output of the given circuit diagram is

The measured value of the length of a simple pendulum is 20 cm with 2 mm accuracy. The time for 50 oscillations was measured to be 40 seconds with 1 second resolution. From these measurements, the accuracy in the measurement of acceleration due to gravity is $$N$$%. The value of $$N$$ is: