NTA JEE Main 8th April 2023 Shift 2

Match List I with List II

Given below are two statements:
Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time.
Statement II: Area under acceleration-time graph is equal to the change in velocity in the given time.
In the light of given statements, choose the correct answer from the options given below.

The trajectory of projectile, projected from the ground is given by $$y = x - \frac{x^2}{20}$$. Where $$x$$ and $$y$$ are measured in meter. The maximum height attained by the projectile will be.

A bullet of mass 0.1 kg moving horizontally with speed 400 m s$$^{-1}$$ hits a wooden block of mass 3.9 kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20 m before coming to rest. The coefficient of friction between the block and the surface is

The orbital angular momentum of a satellite is $$\mathbf{L}$$, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be

The acceleration due to gravity at height $$h$$ above the earth if $$h \ll R$$ (Radius of earth) is given by

A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying load is 250 cm$$^2$$. The maximum pressure the smaller piston would have to bear is [Assume $$g = 10$$ m s$$^{-2}$$]

Work done by a Carnot engine operating between temperatures 127$$^\circ$$C and 27$$^\circ$$C is 2 kJ. The amount of heat transferred to the engine by the reservoir is:

The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27$$^\circ$$C is

For particle $$P$$ revolving round the centre $$O$$ with radius of circular path $$r$$ and regular velocity $$\omega$$, as shown in below figure, the projection of $$OP$$ on the $$x$$-axis at time $$t$$ is