NTA JEE Mains 22nd Jan 2026 Shift 1

Electric field in a region is given by $$\overrightarrow{E}=Ax\widehat{i}+By\widehat {j}$$, where $$A= 10V/m^{2}$$, and $$B= 5V/m^{2}$$. If the electric potential at a point (10, 20) is 500 $$V$$, then the electric potential at origin is____ $$V$$.

Three identical coils $$C_{1}, C_{2}$$ and $$C_{3}$$ are closely placed such that they share a common axis. $$C_{2}$$ is exactly midway. $$C_{1}$$ carries current $$I$$ in anti-clockwise direction while $$C_{3}$$ carries current $$I$$ in clockwise direction. An induced Current flows through $$C_{2}$$ will be in clockwise direction when

Six point charges are kept $$60^{o}$$ apart from each other on the circumference of a
circle of radius $$R$$ as shown in figure . The net electric field at the center of the circle is______.
( $$\epsilon_{o}$$ is permittivity of free space)

A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm. The moment of inertia of this pair of spheres about the tangent passing through the point of contact is _____ $$kg.m^{2}$$.

Find the correct combination of A, B, C and D inputs which can cause the LED to glow.

Match the LIST-I with LIST-II

Choose the correct answer from the options given befow:

Net gravitational force at the center of a square is found to be $$F_{1}$$ when four particles having mass $$M, 2M, 3M$$ and $$4M$$ are placed at the four corners of the square as shown in figure and it is $$F_{2}$$ when the positions of $$3M$$ and $$4M$$ are interchanged.
The ratio $$\frac{F_{1}}{F_{2}}$$ is $$\frac{\alpha}{\sqrt{5}}$$ The value of $$\alpha$$ is _________.

The minimum frequency of photon required to break a particle of mass 15.348 amu into $$4\alpha$$ particles is ____ kHz.
[mass of He nucleus$$=4.002amu, 1 amu=1.66\times10^{-27}kg,h=6.6\times10^{-34}J.s $$ and $$ c=3\times10^{8}m/s$$]

Rods $$x$$ and $$y$$ of equal dimensions but of different materials are joined as shown in figure. Temperatures of end points $$A$$ and $$F$$ are maintained at $$100 ^{o}C$$ and $$40 ^{o}C$$ respectively. Given the thermal conductivity of rod $$x$$ is three times of that of rod $$y$$, the temperature at junction points $$B$$ and $$E are (close to):

A meter bridge with two resistances $$R_{1}$$ and $$R_{2}$$ as shown in figure was balanced (null point) at 40 cm from the point $$P$$. The null point changed to 50 cm from the point $$P$$, when 16 $$\Omega$$ resistance is connected in parallel to $$R_{2}$$. The values of resistances $$R_{1}$$ and $$R_{2}$$ are ______