NTA JEE Mains 30th Jan 2024 Shift 2

If mass is written as $$m = kc^{P}G^{-1/2}h^{1/2}$$, then the value of $$P$$ will be : (Constants have their usual meaning with $$k$$ a dimensionless constant)

Projectiles $$A$$ and $$B$$ are thrown at angles of $$45°$$ and $$60°$$ with vertical respectively from top of a 400 m high tower. If their times of flight are same, the ratio of their speeds of projection $$v_A : v_B$$ is:

Three blocks $$A$$, $$B$$ and $$C$$ are pulled on a horizontal smooth surface by a force of 80 N as shown in figure. The tensions $$T_1$$ and $$T_2$$ in the string are respectively:

A block of mass $$m$$ is placed on a surface having vertical cross section given by $$y = \frac{x^2}{4}$$. If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is:

A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of $$60°$$ by a force of 10 N parallel to the inclined surface as shown in figure. When the block is pushed up by 10 m along inclined surface, the work done against frictional force is : $$g = 10$$ m s$$^{-2}$$

Escape velocity of a body from earth is 11.2 km s$$^{-1}$$. If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the planet is:

A block of ice at $$-10°C$$ is slowly heated and converted to steam at $$100°C$$. Which of the following curves represent the phenomenon qualitatively:

Choose the correct statement for processes $$A$$ & $$B$$ shown in figure.

If three moles of monoatomic gas $$\left(\gamma = \frac{5}{3}\right)$$ is mixed with two moles of a diatomic gas $$\left(\gamma = \frac{7}{5}\right)$$, the value of adiabatic exponent $$\gamma$$ for the mixture is:

A particle of charge $$-q$$ and mass $$m$$ moves in a circle of radius $$r$$ around an infinitely long line charge of linear density $$+\lambda$$. Then time period will be given as: (Consider $$k$$ as Coulomb's constant)