NTA JEE Main 11th April 2023 Shift 2

A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of 30$$^\circ$$ with horizontal with an effective acceleration of 1 m s$$^{-2}$$. The power delivered by the pulling force at $$t = 10$$ s from the start is _______ W.
[Use $$g = 10$$ m s$$^{-2}$$]

A nucleus disintegrates into two nuclear parts, in such a way that ratio of their nuclear sizes is $$1 : 2^{1/3}$$. Their respective speed have a ratio of $$n : 1$$. The value of $$n$$ is _______

A circular plate is rotating in horizontal plane, about an axis passing through its centre and perpendicular to the plate, with an angular velocity $$\omega$$. A person sits at the centre having two dumbbells in his hands. When he stretched out his hands, the moment of inertia of the system becomes triple. If $$E$$ be the initial Kinetic energy of the system, then final Kinetic energy will be $$\frac{E}{x}$$. The value of $$x$$ is _______

The surface tension of soap solution is $$3.5 \times 10^{-2}$$ N m$$^{-1}$$. The amount of work done required to increase the radius of soap bubble from 10 cm to 20 cm is _______ $$\times 10^{-4}$$ J. (take $$\pi = \frac{22}{7}$$)

A wire of density $$8 \times 10^3$$ kg m$$^{-3}$$ is stretched between two clamps 0.5 m apart. The extension developed in the wire is $$3.2 \times 10^{-4}$$ m. If $$Y = 8 \times 10^{10}$$ N m$$^{-2}$$, the fundamental frequency of vibration in the wire will be _______ Hz

In the given circuit. $$C_1 = 2\mu F$$, $$C_2 = 0.2\mu F$$, $$C_3 = 2\mu F$$, $$C_4 = 4\mu F$$, $$C_5 = 2\mu F$$, $$C_6 = 2\mu F$$. The charge stored on capacitor $$C_4$$ is _______ $$\mu$$C.

Two identical cells each of emf 1.5 V are connected in series across a 10 $$\Omega$$ resistance. An ideal voltmeter connected across 10 $$\Omega$$ resistance reads 1.5 V. The internal resistance of each cell is _______ $$\Omega$$.

A metallic cube of side 15 cm moving along $$y$$-axis at a uniform velocity of 2 m s$$^{-1}$$. In a region of uniform magnetic field of magnitude 0.5 T directed along $$z$$-axis. In equilibrium the potential difference between the faces of higher and lower potential developed because of the motion through the field will be _______ mV.

A coil has an inductance of 2 H and resistance of 4 $$\Omega$$. A 10 V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be _______ $$\times 10^{-2}$$ J

As shown in the figure, a plane mirror is fixed at a height of 50 cm from the bottom of tank containing water ($$\mu = \frac{4}{3}$$). The height of water in the tank is 8 cm. A small bulb is placed at the bottom of the water tank. The distance of image of the bulb formed by mirror from the bottom of the tank is _______ cm.