Mock Test 1 — Oscillations and Waves

A particle in SHM with amplitude $A$ has KE = PE at:

The time period of a vertical spring of $k$ with mass $m$ does not depend on:

A wave $y = 2\sin(4t - 0.1x)$ m. Speed:

The fundamental frequency of an open pipe is $300$ Hz. If both ends are closed, what is the new fundamental?

A tuning fork of frequency $256$ Hz produces $4$ beats with another. The second fork has frequency:

Speed of sound in air at $273$ K is $v_0$. At $546$ K:

Two SHMs $y_1 = a\sin\omega t$ and $y_2 = a\cos\omega t$ superpose. Resultant amplitude:

The energy stored in a stretched spring is $E$. To double the energy, extension should be multiplied by:

A pendulum clock is fast by $5$ s/day. To make it correct, its length should be:

A source of $1000$ Hz moves away from a stationary observer at $34$ m/s. Frequency heard ($v = 340$ m/s):

A particle moves in SHM of amplitude $5$ cm with frequency $2$ Hz. Maximum velocity in cm/s (use $\pi = 3.14$, rounded):

A string fixed at both ends has length $0.5$ m, $\mu = 4 \times 10^{-3}$ kg/m. Tension is $36$ N. Fundamental frequency in Hz:

Two whistles emit sounds of frequencies $100$ Hz and $105$ Hz. Number of beats per second:

Assertion (A): All harmonic motions are periodic. Reason (R): SHM is a special case of periodic motion.

Assertion (A): In a closed organ pipe, only odd harmonics are present. Reason (R): The closed end is a displacement node and the open end is an antinode.