Tag: time period, frequency and amplitude of sound

Questions Related to time period, frequency and amplitude of sound

An oscillator is producing FM waves of frequency 2kHz with avariation of 10kHz. The modulating index=?

  1. 0.20

  2. 5.0

  3. 0.67

  4. 1.5


Correct Option: B
Explanation:

Modulation Index , $m _f=\dfrac{\text{Maximum frequency deviation}}{\text{Modulating frequency}}$

$\Rightarrow m _f= \dfrac{10 kHz}{2 kHz}$
$\Rightarrow m _f=5$

Which one of the following will take place when a watch based on oscillating spring is taken to a deep mine?

  1. It will indicate the same time  on earth

  2. It will become fast

  3. It will become slow

  4. It will stop working


Correct Option: A

A simple harmonic oscillator of angular frequency 2 rad $s^{-1}$ is acted upon by an external force $F= sin tN.$ If the oscillator is at rest in its equilibrium position at t=0, its position at later times is proportional to 

  1. $ sin t+ \frac{1}{2}cos 2t$

  2. $ cos t -\frac{1}{2}sin2t$

  3. $sint -\frac{1}{2}sin2t$

  4. $sin t +\frac{1}{2}sin 2t$


Correct Option: C
Explanation:

The solution contains term proportional to $sin t$, $sin 2t$ & the only option consistent with initial conditions is (C)