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JEE Main 202331 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Morning Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2023 · 31 January · Morning Shift · Physics · Motion in Two Dimensions

The speed of a swimmer is 4km h ^ - 1 in still water. If the...

The speed of a swimmer is 4kmh−14km{h}^{- 1} in still water. If the swimmer makes his strokes normal to the flow of river of width 1km1km, he reaches a point 750m750m down the stream on the opposite bank. The speed of the river water is ______ kmh−1km{h}^{- 1}.The speed of a swimmer is 4km h ^ - 1 in still water. If the swimmer makes his strokes normal to the flow of river of

Correct answer

0

Step-by-step solution

The speed of a swimmer is 4km h ^ - 1 in still water. If the swimmer makes his strokes normal to the flow of river of

Let vr{v}_{r} be velocity of river and vm{v}_{m} be velocity of man.

Time taken by man to cross the river of width =1000m= 1000m is t=14ht = \dfrac{1}{4}h.

Now, drift x=vr×tx = {v}_{r} \times t

⇒0.750=vr×14⇒vr=3kmh−1⇒ 0 . 750 = {v}_{r} \times \dfrac{1}{4} ⇒ {v}_{r} = 3km{h}^{- 1}

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