NEET Questions

Two bodies P and Q are revolving in concentric circular paths with radii $R_P$ and $R_Q$ respectively. If they have the same time period, what is the ratio of their angular velocities, $\omega_P : \omega_Q$?

Two satellites, X and Y, orbit Earth in concentric circular orbits with periods $T_X$ and $T_Y$ respectively. If $T_X = T_Y$, what is the relationship between their angular speeds, $\omega_X$ and $\omega_Y$?

Two cars are racing on a circular track. Car A has a radius twice that of car B, but both cars complete one lap in the same amount of time. What is the ratio of the angular speed of car A to car B?

A particle completes one full cycle of SHM in 2 seconds. If its amplitude is 5 cm, what is its average velocity over this period?

The displacement of a particle performing SHM is given by $x = 5 \sin \left(\pi t + \frac{\pi}{3}\right)$. What is the amplitude and time period of the motion?

A particle's motion is described by $x = 3 \cos(2\pi t + \frac{\pi}{2})$. Determine the amplitude and time period of its simple harmonic motion.

The equation of motion for a particle in SHM is $x = 4 \sin(\frac{\pi}{2} t + \pi)$. Find the maximum displacement and the time taken for one complete oscillation.

A body undergoing SHM has a displacement described by $x = 2 \cos(\frac{2\pi}{3} t)$. What is the amplitude and time it takes for the body to return to its initial position?

A particle executes linear SHM with an amplitude of $3$ cm. When the particle is at $2$ cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then, its time period in seconds is:

A body undergoes SHM with an amplitude of $5$ cm. At a displacement of $3$ cm from the mean position, the magnitudes of its velocity and acceleration are equal. What is the time period of the SHM?