NEET UG 2019 — Waves & Oscillations

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure.  $y$-projection of the radius vector of rotating particle $P$ is

The displacement of a particle executing simple harmonic motion is given by, $y={A}_{0}+Asin\omega t+Bcos\omega t.$ Then, the amplitude of its oscillation is given by

Average velocity of a particle executing SHM in one complete vibration is

The distance covered by a particle undergoing SHM in one time period is ( amplitude $=\mathrm{A}$ )

A mass falls from a height ' $h$ ' and its time of fall ' $t$ ' is recorded in terms of time period $T$ of a simple pendulum. On the surface of earth it is found that $t=2 \mathrm{~T}$. The entire set $u$ is taken on the surface of another planet whose mass is half of earth and radius the same. Same experiment is repeated and corresponding times noted as $\mathrm{t}^{\prime}$ and $\mathrm{T}^{\prime}$.

A tuning fork with frequency $800 \mathrm{~Hz}$ produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at length $9.75 \mathrm{~cm}, 31.25 \mathrm{~cm}$ and $52.75 \mathrm{~cm}$. The speed of sound in air is

A truck is stationary and has a bob suspended by a light string, in a frame attached to the truck. The truck, suddenly moves to the right with an acceleration of a. The pendulum will tilt