NTA JEE Mains 1st Feb 2024 Shift 2

Match List - I with List - II.

Choose the correct answer from the options given below:

Train A is moving along two parallel rail tracks towards north with $$72 \text{ km h}^{-1}$$ and train B is moving towards south with speed $$108 \text{ km h}^{-1}$$. Velocity of train B with respect to A and velocity of ground with respect to B are (in $$\text{m s}^{-1}$$):

A cricket player catches a ball of mass 120 g moving with $$25 \text{ m s}^{-1}$$ speed. If the catching process is completed in 0.1 s then the magnitude of force exerted by the ball on the hand of player will be (in SI unit):

A body of mass 4 kg experiences two forces $$\vec{F_1} = 5\hat{i} + 8\hat{j} + 7\hat{k}$$ and $$\vec{F_2} = 3\hat{i} - 4\hat{j} - 3\hat{k}$$. The acceleration acting on the body is:

A disc of radius $$R$$ and mass $$M$$ is rolling horizontally without slipping with speed $$v$$. It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is

A light planet is revolving around a massive star in a circular orbit of radius $$R$$ with a period of revolution $$T$$. If the force of attraction between planet and star is proportional to $$R^{-3/2}$$ then choose the correct option:

A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become:

A diatomic gas $$(\gamma = 1.4)$$ does 200 J of work when it is expanded isobarically. The heat given to the gas in the process is:

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is $$2 \text{ km s}^{-1}$$, the root mean square velocity of oxygen at the same condition in $$\text{km s}^{-1}$$ is:

$$C_1$$ and $$C_2$$ are two hollow concentric cubes enclosing charges $$2Q$$ and $$3Q$$ respectively as shown in figure. The ratio of electric flux passing through $$C_1$$ and $$C_2$$ is