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A man can swim with speed u with respect...

A man can swim with speed u with respect to river. The widith of river is d. The speed of the river is zero at the banks and increses linearly to `V_(0)` till mid stream of the river then decreases to zero to the other bank. When man crosses the river in shoetest time, drift is equal to: `("given" u gt v_(0))`

A

`(ud)/(v_(0))`

B

`(ud)/(2v_(0))`

C

`(v_(0)d)/(2u)`

D

`(v_(0)d)/(u)`

Text Solution

Verified by Experts

The correct Answer is:
C
A man can …………..
Speed of river from bank to mid stream
`v = (v_(0))/(d//2)x = (2v_(0)x)/(d)`
`int d("drift") = 2 int_(0)^(d//2) (dx)/(u)xx(2V_(0)x)/(d)`
drift `= (V_(0)d)/(2u)`
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