ICSE Class 10 Physics 2017 Solved Paper

Question : 50 of 65

Marks: +1, -0

A wire of length

80 {\cm}

has a frequency of

256 {\Hz}

. Calculate the length of a similar wire under similar tension, which will have frequency

1024 {\Hz}

Solution:

Given :

l_1=80 {\cm}, n_1=256 {\Hz}, l_2=

n_2=1024 {\Hz}

We know,

\;\; n ∝ \;{1}/{l}

(If tension '

{\T}

' is constant)

\; ∴ \;\; n_1 l_1=n_2 l_2

\;l_2=\;{n_1 l_1}/{n_2}=\;{256 × 80}/{1024}

\;=20 {\cm} \;\text ". "\;

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