NTA JEE Main 31st January 2023 Shift 2

A body is moving with constant speed, in a circle of radius 10 m. The body completes one revolution in 4 s. At the end of 3rd second, the displacement of body (in m) from its starting point is:

Match List I with List II
List I                                    List II
A. Angular momentum     I. [ML$$^2$$T$$^{-2}$$]
B. Torque                         II. [ML$$^{-2}$$T$$^{-2}$$]
C. Stress                          III. [ML$$^2$$T$$^{-1}$$]
D. Pressure gradient      IV. [ML$$^{-1}$$T$$^{-2}$$]
Choose the correct answer from the options given below:

A stone of mass 1 kg is tied to end of a massless string of length 1 m. If the breaking tension of the string is 400 N, then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is:

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A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of final pressure of the gas to initial pressure of the gas is $$\dfrac{16}{81}$$. Then the ratio of $$\dfrac{C_p}{C_v}$$ will be.

For a solid rod, the Young's modulus of elasticity is $$3.2 \times 10^{11}$$ N m$$^{-2}$$ and density is $$8 \times 10^3$$ kg m$$^{-3}$$. The velocity of longitudinal wave in the rod will be

Considering a group of positive charges, which of the following statements is correct?