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Madhavi Tella
Asked: 2022-11-10T13:51:51+05:30 In:

A `75 cm` string fixed at both ends produces resonant frequencies `384 Hz and 288 Hz` without there being any other resonant frequency between these two . Wave speed for the string is
A. `144 m//s`
B. `216 m//s`
C. `108 m//s`
D. `72 m//s`

A `75 cm` string fixed at both ends produces resonant frequencies `384 Hz and 288 Hz` without there being any other resonant frequency between these two . Wave speed for the string is
A. `144 m//s`
B. `216 m//s`
C. `108 m//s`
D. `72 m//s`
Parabola
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1 Answer

  1. Correct Answer – A

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Owais Sunder
Asked: 2022-10-31T15:31:37+05:30 In:

A `75 cm` string fixed at both ends produces resonant frequencies `384 Hz and 288 Hz` without there being any other resonant frequency between these two . Wave speed for the string is
A. `144 m//s`
B. `216 m//s`
C. `108 m//s`
D. `72 m//s`

A `75 cm` string fixed at both ends produces resonant frequencies `384 Hz and 288 Hz` without there being any other resonant frequency between these two . Wave speed for the string is
A. `144 m//s`
B. `216 m//s`
C. `108 m//s`
D. `72 m//s`
Parabola
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1 Answer

  1. Correct Answer – A
    `Delta v = 384 – 288 = 96`
    Thus ` 288 and 384 (96 xx 3 , 96 xx 4)` are third and fourth harmonics .
    For fundamental mode :
    `(lambda)/(2) = 0.75`
    `lambda = 1.5`
    `eta = 96`
    `v = 96 xx 1.5 = 144 m//s`

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