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Asked by Prashant DIGHE | 04 Jun, 2020, 10:12: PM
answered-by-expert Expert Answer
A train approaching a hill ata speed of 40km/h sounds a whistle of frequency 580Hz when it is....
left parenthesis i right parenthesis F r e q u e n c y space h e a r d space b y space t h e space o b s e r v e r space o n space h i l l f equals f subscript 0 fraction numerator V plus V w plus V subscript O over denominator V plus V w minus V subscript s end fraction f equals 580 fraction numerator 1200 plus 40 over denominator 1200 plus 40 minus 40 end fraction equals 599.3 H z left parenthesis i i right parenthesis H e r e space t h e space c o n c e p t space i s space T i m e space t a k e n space b y space t h e space t r a i n space t o space r e a c h space p o i n t space B space i s space s a m e space a s space t i m e space t a k e n space b y space t h e space s o u n d space t o space r e a c h space p o i n t space B space a f t e r space r e f l e c t i o n space f r o m space t h e space h i l l T i m e space t a k e n space b y space t h e space t r a i n space t o space r e a c h space p o i n t space B equals fraction numerator 1 minus x over denominator 40 end fraction space t i m e space t a k e n space b y space t h e space s o u n d space t o space r e a c h space p o i n t space B space a f t e r space r e f l e c t i o n space f r o m space t h e space h i l l equals fraction numerator 1 over denominator 1200 plus 40 end fraction plus fraction numerator x over denominator 1200 minus 40 end fraction T h e r e f o r e fraction numerator 1 minus x over denominator 40 end fraction equals fraction numerator 1 over denominator 1200 plus 40 end fraction plus fraction numerator x over denominator 1200 minus 40 end fraction o n space s o l v i n g space w e space g e t x equals 0.935 k m F r e q u e n c y space a f t e r space r e f l e c t i o n space i s space g i v e n space b y f equals 599.3 open parentheses fraction numerator 1200 minus 40 plus 40 over denominator 1200 minus 40 end fraction close parentheses f equals 620 H z
Answered by Utkarsh Lokhande | 05 Jun, 2020, 08:56: AM

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