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a source of unknown frequency gives 4 beats/s,when sounded with a source of known frequency 250Hz,the second harmonic of the source of unknown frequency gives five beats per second ,when sounded with a source of frequency 513Hz the unknown frequency is a)260Hz b)254Hz c)246Hz d)240Hz

a source of unknown frequency gives 4 beats/s,when sounded with a source of known frequency 250Hz,the second harmonic of the source of unknown frequency gives five beats per second ,when sounded with a source of frequency 513Hz the unknown frequency is 
a)260Hz
b)254Hz
c)246Hz
d)240Hz

Grade:11

3 Answers

Arun
25750 Points
6 years ago
When sounded with a source of known frequency fundamental frequency = 250 +- 4 Hz. = 254 Hz or 246 Hz. second harmonic if unknown frequency (suppose) 254 Hz = 2 x 254 = 508 Hz. As it is gives 5 beats 508 + 5 = 513 Hz.
Hence, unknown frequency is 254 Hz.
Varon
510 Points
6 years ago
frequency of unknown source =246Hz or 254Hz second harmonic of this source =492HZ or 508Hz which gives 5 beats per second ,when sounded with asource of frequency =254Hz
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

When sounded with a source of known frequency fundamental frequency
= 250 +- 4 Hz.
= 254 Hz or 246 Hz.
second harmonic if unknown frequency (suppose)
= 254 Hz
= 2 x 254
= 508 Hz.
As it is gives 5 beats
508 + 5 = 513 Hz.
Hence, unknown frequency is 254 Hz.

Thanks and Regards

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