NTA JEE Main 1st February 2023 Shift 2

If the velocity of light $$c$$, universal gravitational constant $$G$$ and planck's constant $$h$$ are chosen as fundamental quantities. The dimensions of mass in the new system is:

As shown in the figure a block of mass 10 kg lying on a horizontal surface is pulled by a force F acting at an angle $$30°$$, with horizontal. For $$\mu_s = 0.25$$, the block will just start to move for the value of $$F$$: [Given $$g = 10$$ m$$\cdot$$s$$^{-2}$$]

Figures (a), (b), (c) and (d) show variation of force with time.

The impulse is highest in figure.

The escape velocities of two planets $$A$$ and $$B$$ are in the ratio $$1 : 2$$. If the ratio of their radii respectively is $$1 : 3$$, then the ratio of acceleration due to gravity of planet $$A$$ to the acceleration of gravity of planet $$B$$ will be:

For a body projected at an angle with the horizontal from the ground, choose the correct statement.

The Young's modulus of a steel wire of length $$6$$ m and cross-sectional area $$3$$ mm$$^2$$, is $$2 \times 10^{11}$$ N/m$$^2$$. The wire is suspended from its support on a given planet. A block of mass $$4$$ kg is attached to the free end of the wire. The acceleration due to gravity on the planet is $$\frac{1}{4}$$ of its value on the earth. The elongation of wire is (Take $$g$$ on the earth $$= 10$$ m/s$$^2$$):

For three low density gases $$A$$, $$B$$, $$C$$ pressure versus temperature graphs are plotted while keeping them at constant volume, as shown in the figure.

The temperature corresponding to the point 'K' is:

A Carnot engine operating between two reservoirs has efficiency $$\frac{1}{3}$$. When the temperature of cold reservoir raised by $$x$$, its efficiency decreases to $$\frac{1}{6}$$. The value of $$x$$, if the temperature of hot reservoir is $$99°$$ C, will be

Choose the correct length ($$L$$) versus square of time period ($$T_2$$) graph for a simple pendulum executing simple harmonic motion.

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one.
Reason R: Capacitance of metallic spheres depend on the radii of spheres.
In the light of the above statements, choose the correct answer from the options given below.