NTA JEE Mains 27th Jan 2024 Shift 2

Wheatstone bridge principle is used to measure the specific resistance $$S_1$$ of given wire, having length $$L$$, radius $$r$$. If X is the resistance of wire, then specific resistance is : $$S_1 = X\frac{\pi r^2}{L}$$. If the length of the wire gets doubled then the value of specific resistance will be :

A current of 200 $$\mu$$A deflects the coil of a moving coil galvanometer through 60°. The current to cause deflection through $$\frac{\pi}{10}$$ radian is

Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across A and B, their readings are $$V_1$$, $$V_2$$ and $$V_3$$. Choose the correct option.

The primary side of a transformer is connected to 230 V, 50 Hz supply. The turn ratio of primary to secondary winding is 10 : 1. Load resistance connected to the secondary side is 46 $$\Omega$$. The power consumed in it is :

An object is placed in a medium of refractive index 3. An electromagnetic wave of intensity $$6 \times 10^8$$ W m$$^{-2}$$ falls normally on the object and it is absorbed completely. The radiation pressure on the object would be (speed of light in free space = $$3 \times 10^8$$ m s$$^{-1}$$) :

When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a rotation of :

The threshold frequency of a metal with work function 6.63 eV is :

The atomic mass of $$_6C^{12}$$ is 12.000000 u and that of $$_6C^{13}$$ is 13.003354 u. The required energy to remove a neutron from $$_6C^{13}$$, if mass of neutron is 1.008665 u, will be :

The truth table of the given circuit diagram is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.
Reason (R) : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.
In the light of the above statements, choose the correct answer from the options given below :