NEET Physics Units And Measurement Deriving Equations MCQs

The equation for velocity is derived from the change in which quantity with respect to time?

The equation for kinetic energy ($KE = \frac{1}{2}mv^2$) is derived using which fundamental equations?

Which equation is derived from the definition of acceleration?

The equation for power ($P = \frac{W}{t}$) is derived from the relationship between work and which quantity?

The equation for momentum ($p = mv$) is a direct consequence of which of Newton's laws?

The equation of motion $s = ut + \frac{1}{2}at^2$ is derived assuming what condition for acceleration?

A particle moves in a plane with a velocity given by $\vec{v} = (A\omega cos(\omega t))\hat{i} + (B\omega sin(\omega t))\hat{j}$. If the particle starts from the origin at $t=0$, the equation of the trajectory is:

A rod of length $L$ is hinged at one end and is free to rotate in a vertical plane. It is released from rest in the horizontal position. The angular acceleration of the rod when it makes an angle $heta$ with the vertical is:

A particle of mass $m$ moves under the influence of a central force given by $F(r) = -k/r^3$. If the particle's orbit is circular with radius $r_0$, its time period of revolution is:

A thin uniform disc of mass $M$ and radius $R$ is rotating with angular velocity $\omega$ about an axis passing through its center and perpendicular to its plane. A thin ring of mass $m$ and radius $r$ is gently placed on the disc concentrically. The final angular velocity of the combined system is: