NTA JEE Mains 5th April Shift 2 2026

An object AB is placed 15 cm to the left of a convex lens P of focal length $$10 cm$$. Another convex lens Q is now placed $$15 cm$$ right of lens P . If the focal length of lens Q is 15 cm,  final image is______.

The maximum intensity in a Young's double slit experiment is $$I_{\circ}$$, distance between the slit(d) is  $$5\lambda$$,where $$\lambda$$ is the wavelength of light used the intensity of the fringe, exactly  exactly opposite to one of the slits on the screen, placed at $$D = 10d$$ is_________.

An electron is travelling with a velocity $$v$$ in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie wavelength of electron in the medium is $$\alpha \lambda_0$$.where $$\lambda_0$$ is its de Broglie wavelength in free space. The value of $$\alpha$$ is :

Assuming the experimental mass of $$^{12}_{6}C$$ as 12 u, The mass defect of $${}^{12}\text{C}$$ atom is (in MeV/$$c^2$$) :
(Mass of proton  = 1.00727 u, mass of neutron = 1.00866 u, 1 u = 931.5$$ $$MeV/$$c^2$$ and c is the speed of the light in vacuum).

In a semiconductor p-n  diode, the doping concentrations on p-side has $$10^{15}$$ atoms/cm³ and the n-side has $$10^{18}$$ atoms/cm³respectively.  Which one of the following statements is true?

A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is $$600 \times 10^{-6}$$ m³. The elastic potential energy stored in the wire in stretched condition would be _______  J :
(Given Young's modulus of copper $$ = 1.1 \times 10^{11}$$ N/m²)

The heat extracted out of x gram of water initialy at  $$50°$$C to  cool it down to $$0°$$C is sufficient to evaporate  $$(1000 - x)$$ gram  of water also initialy at $$50°$$C. The value of $$x$$ (closest integer) is_______.  (Take Latent heat of water  $$L = 2256$$ kJ/kg K, specific heat capacity of water $$c = 4200$$ J/kg·K)

In a series LCR circuit with , $$R = 20\,\Omega$$, $$L = 1.6$$ H, $$C = 40\,\mu$$F is connected to a variable frequency a.c. source.  The inductive reactance at resonant frequency is ____________ $$\Omega$$.

When an external resistance of $$5\,\Omega$$ is connected across terminals of a cell,  a current of $$0.25$$ A flow through it. When the $$5\,\Omega$$ resistor is replaced by a  $$2\,\Omega$$ resistor, a current of $$0.5$$ A flow through it. The internal resistance of the cell is________ $$\Omega$$.

A circular loop of radius $$r = 20$$ cm and resistance $$R = 2\,\Omega$$ is placed in a time varying  magnetic field $$B = (2t^2 + 2t + 3)$$ T. At $$t = 0$$, for the plane of the loop being perpendicular to the magnetic field and, The induced current in the loop  at $$t = 3$$ s is $$\frac{\alpha}{50}$$ A. The value of $$\alpha$$ is__________.
(Take $$\pi = 22/7$$)