Home
Class 11
PHYSICS
Two boys P and Q are playing on a river ...

Two boys P and Q are playing on a river bank. P plans to swim across the river directly and come back. Q plans to swim downstream by a length equal to the width of the river and then come back. Both of them bet each other, claiming that the boy succeeding in less time will win. Assuming the swimming rate of both P and Q to the same, it can be concluded that

A

P wins

B

Q wins

C

A draw takes place

D

Nothing certain can be stated.

Text Solution

Verified by Experts

The correct Answer is:
A
a. Let d be the river width and u and v the speeds of water current.
for P, time taken
`t_1 = (2d)/(sqrt(v^2-u^2))` ……….(i)
For `Q`, time taken, `t_2 = d[1/(v+u) + 1/(v-u)]………(ii)`
Dividing Eq. (i) by (ii), we get
`t_1/t_2 = sqrt (1-(u/v)^2)lt1 rArr t_1ltt_2` .
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|26 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Linked Comprehension Type|35 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|9 Videos

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|10 Videos

Similar Questions

Explore conceptually related problems

A bridge across the river makes an angle of 30^(@) with the river bank.If the length of the bridge across the river is 60m, Find the width of the river.

Why is it easier to swim in sea water than in the river water ?

From a point on a bridge across a river,the angles of depression of the banks on opposite sides of the river are 30^(@) and and m from the banks,find the width of the river.

A man directly crosses a river in time t_1 and swims down the current a distance equal to the width of the river I time t_2 . If u and v be the speed of the current and the man respectively, show that : t_1 :t_2 = sqrt(v + u) : sqrt(v - u)) .

A man wishes to cross a river flowing with velocity u swims at an angle theta with the river flow.If the man swims with speed v and if the width of the river is d , then the drift travelled by him is

A man can swim in still water at 4m//s river is flowing at 2m//s . the angle with downstream at which he should swim to cross the river minimum drift is