NTA JEE Mains 6th April Shift 1 2026

A spherical interface lens of radius $$R$$ separates two media of refractive indices 1 and 1.4 respectively as shown in the figure below. A point source is placed at a distance of $$4R$$ in front of spherical interface. The magnitude of the magnification of point source image is _______.

A small cube of side 1 mm is placed at the centre of a circular loop of radius 10 cm carrying a current of 2 A. The magnetic energy stored inside the cube is $$\alpha \times 10^{-14}$$ J. The value of $$\alpha$$ is _______.
$$(\mu_0 = 4\pi \times 10^{-7}$$ Tm/A, $$\pi = 3.14)$$

An inductor of inductance 10 mH having resistance of 100 $$\Omega$$ is connected to battery of E.M.F. 1.0 V through a switch as shown in the figure below. After switch is closed, the ratio of instantaneous voltages across the inductor when the current passing through it is 2 mA and 4 mA is _______.

The ratio of momentum of the photons of the 1$$^{st}$$ and 2$$^{nd}$$ line of Balmer series of Hydrogen atoms is $$\alpha/\beta$$. The possible values of $$\alpha$$ and $$\beta$$ are:

A LCR series circuit driven with $$E_{rms} = 90$$ V at frequency $$f_d = 30$$ Hz has resistance $$R = 80$$ $$\Omega$$, an inductance with inductive reactance $$X_L = 20.0$$ $$\Omega$$ and capacitance with capacitive reactance $$X_C = 80.0$$ $$\Omega$$. The power factor of the circuit is _______.

Refer to the circuit diagram given below. The heat generated across the 6 $$\Omega$$ resistance in 100 second is $$\frac{\alpha}{100}$$ J. The value of $$\alpha$$ is _______. (Nearest integer)

An unpolarized light of intensity $$I_0$$ passes through polarizer and then through a certain optically active solution and finally it goes to analyser. If the angle between analyser and polariser is 0$$^\circ$$ and intensity of light emerged from analyser is $$\frac{3}{8}I_0$$, the angle of rotation of the light by the solution with respect to analyser is _______ degrees.

The energy released when $$\frac{7}{17.13}$$ kg of $$^7_3$$Li is converted into $$^4_2$$He by proton bombardment is $$\alpha \times 10^{32}$$ eV. The value of $$\alpha$$ is _______. (Nearest integer)
(Mass of $$^7_3$$Li = 7.0183 u, mass of $$^4_2$$He = 4.004 u, mass of proton = 1.008 u and 1 u = 931 MeV/c$$^2$$ and Avogadro number = $$6.0 \times 10^{23}$$)

A three coulomb charge moves from the point (0, -2, -5) to the point (5, 1, 2) in an electric field expressed as $$\vec{E} = 2x\hat{i} + 3y^2\hat{j} + 4\hat{k}$$ N/C. The work done in moving the charge is _______ J.

A certain gas is isothermally compressed to $$\left(\frac{1}{3}\right)^{rd}$$ of its initial volume ($$V_0 = 3$$ litre) by applying required pressure. If the bulk modulus of the gas is $$3 \times 10^5$$ N/m$$^2$$, the magnitude of work done on the gas is _______ J.