NTA JEE Mains 2nd April Shift 1 2026

Refer the figure given below. $$\mu_1$$ and $$\mu_2$$ are refractive indices of air and lens material. The height of image will be __________ cm.

For a certain metal, when monochromatic light of wavelength $$\lambda$$ is incident, the stopping potential for photoelectrons is $$3V_0$$. When the same metal is illuminated by light of wavelength $$2\lambda$$, then the stopping potential becomes $$V_0$$. The threshold wavelength for photoelectric emission for the given metal is $$\alpha \lambda$$. The value of $$\alpha$$ is __________.

An electromagnetic wave travelling in x-direction is described by field equation $$E_y = 300 \sin \omega \left(t - \frac{x}{c}\right)$$. If the electron is restricted to move in y-direction only with speed of $$1.5 \times 10^6$$ m/s then ratio of maximum electric and magnetic forces acting on the electron is __________.

Angular momentum of an electron in a hydrogen atom is $$\frac{3h}{\pi}$$, then the energy of the electron is __________ eV.

A liquid drop of diameter 2 mm breaks into 512 droplets. The change in surface energy is $$\alpha \times 10^{-6}$$ J. The value of $$\alpha$$ is __________. (Take surface tension of liquid = 0.08 N/m)

In single slit diffraction pattern, the wavelength of light used is 628 nm and slit width is 0.2 mm, the angular width of central maximum is $$\alpha \times 10^{-2}$$ degrees. The value of $$\alpha$$ is __________.

A vessel contains 0.15 m$$^3$$ of a gas at pressure 8 bar and temperature 140 °C with $$c_p = 3R$$ and $$c_v = 2R$$. It is expanded adiabatically till pressure falls to 1 bar. The work done during this process is __________ kJ. (R is gas constant)

1 $$\mu$$C charge moving with velocity $$\vec{v} = \left(\hat{i} - 2\hat{j} + 3\hat{k}\right)$$ m/s in the region of magnetic field $$\vec{B} = \left(2\hat{i} + 3\hat{j} - 5\hat{k}\right)$$ T. The magnitude of force acting on it is $$\sqrt{\alpha} \times 10^{-6}$$ N. The value of $$\alpha$$ is __________.

A uniform wire of length $$l$$ of weight w is suspended from the roof with a weight of W at the other end. The stress in the wire at $$\frac{l}{3}$$ distance from the top is $$\left(\frac{W}{A} + \frac{2}{\gamma} \cdot \frac{w}{A}\right)$$, where A is the cross sectional area of the wire. The value of $$\gamma$$ is __________.

A tub is filled with water and a wooden cube 10 cm × 10 cm × 10 cm is placed in the water. The wooden cube is found to float on the water with a part of it submerged in water. When a metal coin is placed on the wooden cube, the submerged part is increased by 3.87 cm. The mass of the metal coin is __________ gram. (Take water density as 1 g/cm$$^3$$ and density of wood = 0.4 g/cm$$^3$$)