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14.Waves and Sound
medium
$0.5 m$ લંબાઇ અને $2 \times 10^{-4} kg$ દળ ધરાવતી દોરીમાં તણાવ $20N$ હોય,તો દ્વિતીય આવૃત્તિ કેટલી .... $Hz$ થાય?
A
$274.4$
B
$744.2$
C
$44.72$
D
$447.2$
Solution
(d) Mass per unit length $m = \frac{{2 \times {{10}^{ – 4}}}}{{0.5}}kg/m$
$ = 4 \times {10^{ – 4}}kg/m$
Frequency of $2^{nd}$ harmonic ${n_2} = 2{n_1}$
$ = 2 \times \frac{1}{{2l}}\sqrt {\frac{T}{m}} $$ = \frac{1}{{0.5}}\sqrt {\frac{{20}}{{4 \times {{10}^{ – 4}}}}} = 447.2Hz$
Standard 11
Physics