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Asked by jhajuhi19 | 18 Oct, 2019, 12:22: PM
answered-by-expert Expert Answer
 
If Sound travels directly from A to B, time of travel  t1 = x/v    ......................(1)
 
where x is ditance between A and B. v is speed of sound.
 
If sound takes path A-C-B, time of travel t2 =  { 2 [ (x2 /4) + h2]1/2 } / v
 
we have ,  t2 - t1 = 1
 
begin mathsize 14px style fraction numerator 2 square root of begin display style x squared over 4 end style plus h squared end root over denominator v end fraction space minus space x over v space equals space 1 2 square root of x squared over 4 plus h squared end root space minus space x space equals space v square root of x squared over 4 plus h squared end root space equals space fraction numerator v plus x over denominator 2 end fraction x squared over 4 plus h squared space equals space open parentheses fraction numerator v plus x over denominator 2 end fraction close parentheses squared h squared space equals space 1 fourth open square brackets open parentheses v plus x close parentheses squared space minus space x squared close square brackets space equals space 1 fourth space open square brackets v squared plus 2 space v space x close square brackets h space equals space 1 half square root of v squared plus 2 space v space x end root end style
Answered by Thiyagarajan K | 18 Oct, 2019, 02:22: PM

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