NTA JEE Mains 2nd April Shift 2 2026

If a body of mass 1 kg falls on the earth from infinity, it attains velocity $$(v)$$ and kinetic energy $$(k)$$ on reaching the surface of earth. The values of $$v$$ and $$k$$ respectively are ______.
(Take radius of earth to be 6400 km and $$g = 9.8$$ m/s$$^2$$)

In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale when two studs are in contact. There are 100 divisions in circular scale and pitch of screw gauge is 0.1 mm. When diameter of a sphere is measured, the reading of main scale is 5 mm and 50th division of circular scale coincides with the reference line of main scale. The diameter of sphere is _______mm.

The surface tension of a soap bubble is 0.03 N/m. The work done in increasing the diameter of bubble from 2 cm to 6 cm is $$\alpha\pi \times 10^{-4}$$ J. The value of $$\alpha$$ is : (Take $$\pi = 3.14$$)

A mixture of carbon dioxide and oxygen has volume 8310 cm$$^3$$, temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon dioxide and oxygen gases in the mixture respectively are _____.
(Assume both gases behave like ideal gases) [$$R = 8.31$$ J/mol.K]

If an air bubble of diameter 2 mm rises steadily through a liquid of density 2000 kg/m$$^3$$ at a rate of 0.5 cm/s, then the coefficient of viscosity of liquid is _________ Poise. (Take $$g = 10$$ m/s$$^2$$)

A spherical ball of mass 2 kg falls from a height of 10 m and is brought to rest after penetrating 10 cm into sand. The average force exerted by sand on the ball is ______ N.
(Take g=10 m/$$s^{2}$$)

An electromagnetic wave travels in free space along the x-direction. At a particular point in space and time, $$\vec{B} = 2 \times 10^{-7}\hat{j}$$ T is associated with this wave. The value of corresponding electric field $$\vec{E}$$ at this point is _________ V/m.

Two resistors of 200 $$\Omega$$ and 400 $$\Omega$$ are connected in series with a battery of 100 V. A bulb rated at 200 V, 100 W is connected across the 400 $$\Omega$$ resistance. The potential drop across the bulb is :

Two metal plates (A, B) are kept horizontally with separation of $$\frac{12}{\pi}$$ cm, with plate A on the top. An atomizer jet sprays oil (density $$1.5$$ g/cm$$^3$$) droplets of radius 1 mm horizontally. All oil droplets carry a charge 5 nC. The potentials $$V_A$$ and $$V_B$$ are required on plates A and B respectively in order to ensure the droplets do not descend. The values of $$V_A$$ and $$V_B$$ are ______.
(Neglect the air resistance to the droplets and take $$g = 10$$ m/s$$^2$$)

Two point charges $$8\,\mu$$C and $$-2\,\mu$$C are located at $$x = 2$$ cm and $$x = 4$$ cm, respectively on the x-axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their centers at the origin is _______.