NTA JEE Main 29th June 2022 Shift 2

A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10 m in $$t$$ s, the distance travelled by the toy in the next $$t$$ s will be:

A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?

A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below. The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is: (Given $$g = 10$$ m s$$^{-2}$$.)

A block of mass $$M$$ placed inside a box descends vertically with acceleration $$a$$. The block exerts a force equal to one-fourth of its weight on the floor of the box. The value of '$$a$$' will be

In the given figure, the block of mass $$m$$ is dropped from the point 'A'. The expression for kinetic energy of block when it reaches point 'B' is

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm? Both the diameters have been measured at room temperature (27°C).
(Given: coefficient of linear thermal expansion of gold $$\alpha_L = 1.4 \times 10^{-5}$$ K$$^{-1}$$)

Starting with the same initial conditions, an ideal gas expands from volume $$V_1$$ to $$V_2$$ in three different ways. The work done by the gas is $$W_1$$ if the process is purely isothermal, $$W_2$$, if the process is purely adiabatic and $$W_3$$ if the process is purely isobaric. Then, choose the correct option

A vessel contains 16 g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the vessel in cm$$^3$$ is:

The motion of a simple pendulum executing S.H.M. is represented by the following equation $$y = A \sin(\pi t + \phi)$$, where time is measured in second. The length of pendulum is