A swimmer who can swim in a river with speed - V with respect to still water where V is the velocity of river current- jumps into the river from one bank to cross the river-A- If -1- he can reach a point on other bank directly opposite to his starting point-D- He can reach the other bank at some point- for any non zero value of -

Given, Drift =0 Now, from figure Drift =(V α V sinθ)t=0 ⇒sinθ=1α lt;1 ∴ For α gt;1, nbsp;the swimmer can reach the other bank with zero drift. For other ...

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Standard XII

Physics

Relative Velocity in 2D

A swimmer who...

Question

A swimmer who can swim in a river with speed $α V$ (with respect to still water) where $V$ is the velocity of river current, jumps into the river from one bank to cross the river.

α < 1

he can not cross the river

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α \leq 1,

he can not reach a point on other bank directly opposite to his starting point.

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α > 1,

he can reach a point on other bank directly opposite to his starting point.

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He can reach the other bank at some point, for any non zero value of

α

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Solution

The correct option is D He can reach the other bank at some point, for any non zero value of $α$
Given, Drift $= 0$
Now, from figure
Drift $= (V - α V sin θ) t = 0$
$\Rightarrow sin θ = \frac{1}{α} < 1$

$∴$ For $α > 1$ , the swimmer can reach the other bank with zero drift.
For other values of $α$ the swimmer reaches the other bank but with non-zero drift.

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A swimmer who can swim in a river with speed αV (with respect to still water) where V is the velocity of river current, jumps into the river from one bank to cross the river.

A swimmer who can swim in a river with speed $α V$ (with respect to still water) where $V$ is the velocity of river current, jumps into the river from one bank to cross the river.