NTA JEE Main 8th April 2023 Shift 2

A body of mass 5 kg is moving with a momentum of 10 kg m s$$^{-1}$$. Now a force of 2 N acts on the body in the direction of its motion for 5 s. The increase in the Kinetic energy of the body is _______ J.

A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3 m s$$^{-1}$$ (as shown in figure). Maximum height with respect to the initial position covered by it will be _______ cm.
(take, $$g = 10$$ m s$$^{-2}$$)

A steel rod of length 1 m and cross-sectional area $$10^{-4}$$ m$$^2$$ is heated from 0$$^\circ$$C to 200$$^\circ$$C without being allowed to extend or bend. The compressive tension produced in the rod is _______ $$\times 10^4$$ N. (Given Young's modulus of steel $$= 2 \times 10^{11}$$ N m$$^{-2}$$, coefficient of linear expansion $$= 10^{-5}$$ K$$^{-1}$$)

A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental of 180 Hz will be _______ cm.

A 600 pF capacitor is charged by 200 V supply. It is then disconnected from the supply and is connected to another uncharged 600 pF capacitor. Electrostatic energy lost in the process is _______ $$\mu$$J.

The number density of free electrons in copper is nearly $$8 \times 10^{28}$$ m$$^{-3}$$. A copper wire has its area of cross-section $$= 2 \times 10^{-6}$$ m$$^2$$ and is carrying a current of 3.2 A. The drift speed of the electrons is _______ $$\times 10^{-6}$$ m s$$^{-1}$$.

The ratio of magnetic field at the centre of a current carrying coil of radius $$r$$ to the magnetic field at distance $$r$$ from the centre of coil on its axis is $$\sqrt{x}$$ : 1. The value of $$x$$ is _____.

A series combination of resistor of resistance 100 $$\Omega$$, inductor of inductance 1 H and capacitor of capacitance 6.25 $$\mu$$F is connected to an ac source. The quality factor of the circuit will be _____.

Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature 30 cm. The centre of curvature of surface is towards denser medium and a point object is placed on the principal axis in rarer medium at a distance of 15 cm from the pole of the surface. The distance of image from the pole of the surface is _______ cm.

The ratio of wavelength of spectral lines $$H_\alpha$$ and $$H_\beta$$ in the Balmer series is $$\frac{x}{20}$$. The value of $$x$$ is _____.