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JEE Class main Answered

solve the below question
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Asked by sarveshvibrantacademy | 26 Mar, 2019, 11:24: AM
answered-by-expert Expert Answer
Option B is correct
 
a s space w e space k n o w space s t r e s s space equals space T divided by A
a n d space s t r a i n space equals space c h a n g e space i n space l e n g t h divided by i n i t i a l space l e n g t h space equals space left parenthesis l cross times alpha cross times increment T right parenthesis divided by l space equals space alpha increment T
s o space w a v e space v e l o c i t y space equals space square root of T over mu end root space w h e r e space T space i s space t e n s i o n space a n d space mu space i s space m a s s space p e r space u n i t space l e n g t h
i t space c a n space a l s o space b e space w r i t t e n space a s square root of fraction numerator T over denominator rho cross times A end fraction end root space
w e space c a n space s e e space h e r e space T divided by A space i s space s t r e s s
s o space u sin g space y o u n g s space m o d u l u s space w e space c a n space w r i t e space S t r e s s space equals space Y cross times S t r a i n
space T divided by A space equals space Y cross times alpha increment T
a n d space f r e q u e n c y space equals space v e l o c i t y divided by w a v e l e n g t h
p u t i n g space a l l space t h e space v a l u e space w e space c a n space s e e space f r e q u e n c y space i s space d i r e c t l y space p r o p o r t i o n a l space t o space square root of fraction numerator Y alpha over denominator rho end fraction end root
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