NTA JEE Mains 5th April Shift 1 2026

Light source having wavelength 331 nm is used to generate photo-electrons whose stopping potential is 0.2 V. The work function of the used metal in the experiment is $$\alpha \times 10^{-19}$$ J. The value of $$\alpha$$ is _______. (h = $$6.62 \times 10^{-34}$$ J s, e = $$1.6 \times 10^{-19}$$ C and c = $$3 \times 10^8$$ m/s)

A compound microscope is designed with two symmetric biconvex lenses. The objective lens is cut vertically, creating two identical plano-convex lenses. One of them is used in place of original objective lens. To retain same magnification keeping the object distance unchanged, the tube length has to be

Two wires as shown in the figure below, made of steel and have breaking stress of $$12 \times 10^8$$ N/m$$^2$$. Area of cross-section of upper wire is 0.008 cm$$^2$$ and of lower wire is 0.004 cm$$^2$$. The maximum mass that can be added to pan without breaking any wire is _______ kg. (take $$g = 10$$ m/s$$^2$$)

An a.c. source of angular frequency $$\omega$$ is connected across a resistor $$R$$ and a capacitor $$C$$ in series. The current is observed as $$I$$. Now the frequency of the source is changed to $$\omega/4$$, (keeping the voltage unchanged) the current is found to be $$I/3$$. The ratio of resistance to reactance at frequency $$\omega$$ is

For the given logic circuit, which of the following inputs combination will make both LED-1 and LED-2 to glow?

A cube has side length 5 cm and modulus of rigidity $$10^5$$ N/m$$^2$$. The displacement produced by a force of 10 N in the upper face of cube is _______ mm.

From 18 m height above the ground a ball is dropped from rest. The height above the ground at which the magnitude of velocity equal to the magnitude of acceleration (in the same set of units) due to gravity is _______ m. (Take $$g = 10$$ m/s$$^2$$ and neglect the air resistance)

A transverse wave on a string is described by $$y = 3\sin(36t + 0.018x + \pi/4)$$, where $$x$$, $$y$$ are in cm and $$t$$ in seconds. The least distance between the two successive crests in the wave is _______ cm. (Nearest integer) ($$\pi = 3.14$$)

The charged particle moving in a uniform magnetic field of $$(3\hat{i} + 2\hat{j})$$ T has an acceleration $$\left(4\hat{i} - \frac{x}{2}\hat{j}\right)$$ m/s$$^2$$. The value of $$x$$ is

In the given circuit below inductance values of $$L_1$$, $$L_2$$ and $$L_3$$ are same. The magnetic energy stored in the entire circuit is $$(U_t)$$ and that stored in the $$L_2$$ inductor is $$(U_l)$$. $$U_t / U_l$$ is _______. (Ignore the mutual inductance if any)