NTA JEE Mains 21st Jan 2026 Shift 1

A current carrying solenoid is placed vertically and a particle of mass m with charge Q is released from rest. The particle moves along the axis of solenoid. lf g is acceleration due to gravity then the acceleration (n) of the charged particle will satisfy :

A uniform rod of mass m and length l suspended by means of two identical inextensible light strings as shown in figure. Tension in one string immediately after the other string is cut, is ____ . (g acceleration due to gravity)

A parallel plate capacitor has capacitance C, when there is vacuum within the parallel plates. A sheet having thickness $$\left(\frac{1}{3}\right)^{rd}$$ of the separation between the plates and relative permittivity K is introduced between the plates. The new capacitance of the system is:

The given circuit works as:

An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at 30°C. The coefficient of linear expansion of aluminium and steel are $$24\times10^{-6}/^{\circ}C\text{ and }1.2\times10^{-5}/^{\circ}C$$, respectively. The length of this composite rod when its temperature is raised to $$100^\circ$$ C, is ___ cm.

Potential energy (V) versus distance (x) is given by the graph. Rank various regions as per the magnitudes of the force (F) acting on a particle from high lo low.

A 4 kg mass moves under the influence of a force $$\overrightarrow{F}=\left(4t^{3}\widehat{i}-3t\widehat{j}\right)N$$ where t is the time in second. If mass starts from origin at t= 0, the velocity and position after t= 2 s will be:

The electric field in a plan a electromagnetic wave is given by :
$$E_{y}=69\sin[0.6\times10^{3}x-1.8\times10^{11}t]V/m$$
The expression for magneticfield associated with this electromagnetic wave is ___ T.

A light wave described by $$E=60[\sin(3\times10^{15})t+\sin(12\times10^{15})t]$$ (in SI units) falls on a metal surface of work function 2.8 eV. The maximum kinetic energy of ejected photoelectron is (approximately) ___ eV. $$(h=6.6\times10^{-34}J.s\text{ and }e=1.6\times10^{19}C)$$

Water flows through a horizontal tube as shown in the figure. The difference in height between the water colunms in vertical tubes is 5 cm and the area of cross-sections at A and B are $$6cm^{2}$$ and $$3cm^{2}$$ respectively. The rate of flow will be ____ $$cm^{3/s}$$. $$(take g=10m/s^{2})$$