Physics Waves & Oscillations questions from JEE Main 2005.
If a simple harmonic motion is represented by $\frac{\mathrm{d}^2 \mathrm{x}}{\mathrm{dt}^2}+\alpha \mathrm{x}=0$, its time period is
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
The function $\sin ^2(\omega t)$ represents
Two simple harmonic motions are represented by the equation $\mathrm{y}_1=0.1$ $\sin \left(100 \pi t+\frac{\pi}{3}\right)$ and $y_2=0.1 \cos \pi t$. The phase difference of the velocity of particle 1 w.r.t. the velocity of the particle 2 is
When two tuning forks (fork 1 and fork 2) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of the fork 2 . When the tuning forks are sounded again, 6 beats per seconds are heard. If the frequency of fork 1 is $200 \mathrm{~Hz}$, then what was the original frequency of fork 2 ?