If a sonometer wire of length 110 cm fixed horizontally under a constant tension, then the bridge be placed below the wire so that the two segments ca

Question

If a sonometer wire of length 110 cm fixed horizontally under a constant tension, then the bridge be placed below the wire so that the two segments ca

If a sonometer wire of length 110 cm fixed horizontally under a constant tension, then the bridge be placed below the wire so that the two segments can emits note whose frequency are in the ratio 3:2, is
A. 44cm and 66 cm
B. 66 cm and 44cm
C. 25cm and 75cm
D. 41.5 cm and 58.5 cm

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
`l_1 + l_2 = 1.1 ….(i) " As " n_1l_1=n_2l_2`
`therefore n_1/n_2 = l_2/l_1 = 3/2 therefore l_2 = 3/2 l_1`
Substitute `l_2` in eqn(i) we have ,
`l_1+3/2l_1 = 1.1 therefore 5/2l_1 = 1.1`
`therefore l_1=(2.2)/(5) = 0.44m`
Substitute in (i) we have ,
`0.44+l_2=1.1 therefore l_2 = 0.66m`

4 views Answered 2023-02-05 15:29