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Q.

The velocity of sound varies according to the relation :c(x)=c0(1+0.1x/d) between a source located at x = 0 and a cliff located at x = d. The time taken for sound to travel from A to B and return back to A is given by

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a

2dc0

b

2dc01+0.12

c

2dc0×1.1

d

20dc0ln⁡(1.1)

answer is D.

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Detailed Solution

Time to reach B from A=tAB=∫x=0d dxc(x)=d0.1c0ln⁡(1.1); total time =2tAB
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The velocity of sound varies according to the relation :c(x)=c0(1+0.1x/d) between a source located at x = 0 and a cliff located at x = d. The time taken for sound to travel from A to B and return back to A is given by