MCQ
Four wires of identical length, diameters and of the same material are stretched on a sonometre wire. If the ratio of their tensions is $1 : 4 : 9 : 16$ then the ratio of their fundamental frequencies are
  • A
    $16 : 9 : 4 : 1$
  • B
    $4 : 3 : 2 : 1$
  • C
    $1 : 4 : 2 : 16$
  • $1 : 2 : 3 : 4$

Answer

Correct option: D.
$1 : 2 : 3 : 4$
d
(d) $n \propto \sqrt T $
==> ${n_1}:{n_2}:{n_3}:{n_4} = \sqrt 1 :\sqrt 4 :\sqrt 9 :\sqrt {16} = 1:2:3:4$

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