COMEDK2020PhysicsWaves and Sound
A source of sound gives 5 beats per second, when sounded with another source of frequency 100 ~s ⁻¹ . The second harmonic of the source, together with a source of frequency 205 ~s ⁻¹ gives 5 beats per second. What is frequency of the source?
Options
- A95 ~s ⁻¹
- B105 ~s ⁻¹
- C100 ~s ¹
- D205 ~s ⁻¹
Correct answer
B. 105 ~s ⁻¹
Step-by-step solution
Let the frequency of the sound is f . In first case, f=100 5 =105 ~Hz or 95 ~Hz The frequency of second harmonic =2 f According to second case. aligned 2 f &=200 10 &=210 ~Hz or 190 ~Hz aligned If 5 beats are produced with frequency 105 ~Hz , then frequency of second harmonic will be 210 ~Hz . i.e. 2 f=210 f=105 ~Hz =105 ~s ⁻¹