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Question: If a boat can have a speed of 4 km/hr in still water, for what values of speed of river flow, it can...

If a boat can have a speed of 4 km/hr in still water, for what values of speed of river flow, it can be managed to row boat right across the river, without any drift?

A

≥ 4 km/hr

B

Greater than zero but less than 4 km/hr

C

Only 4 km /hr

D

None of these

Answer

Greater than zero but less than 4 km/hr

Explanation

Solution

Drift (∆x) = (vb, x) ∆t

= (vbr cos θ + vr)∆t

for ∆x = 0,

vr = -vbr cos θ

⇒ (vr)max = vbr

For, vr > vbr we can not have zero drift. Hence (2) is correct.