You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Relative Velocity in 2D

A swimmer cro...

Question

A swimmer crosses the river along the line making an angle of $45^{o}$ with the direction of flow. Velocity of the river water is 5 m/s. Swimmer takes 12 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be :

10 m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 m/s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$5 \sqrt{5} m / s$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$5 \sqrt{2} m / s$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
5 m/s

$T = \frac{B}{v_{y}} v_{y} = \frac{60}{12} = 5 m / s F o r 45^{o} a n g l e v_{x} = v_{y} ∴ v_{x} = 5 m / s {¯ v}_{M} = 5^i + 5^j {¯ v}_{R} = 5^i ∴ {¯ v}_{M R} = {¯ v}_{M} - {¯ v}_{R} = 5^j$

Suggest Corrections

Similar questions

Q. A swimmer crosses the river along the line making an angle of

45^{\circ}

with the direction of flow. Velocity of the river water is

5 m/s

. Swimmer takes 6 seconds to cross the river of width

60 m

. The magnitude of velocity of the swimmer with respect to river will be

A swimmer crosses the river so as to reach the opposite point, along the line making an angle of $45^{o}$ with the direction of flow. Velocity of the river water is $5 m / s$ . Swimmer takes 12 seconds to cross the river of width $60 m$ . The velocity of the swimmer (in $m / s$ ) with respect to flowing water will be:

Q. A swimmer is seen crossing the river along the line making an angle of

45^{\circ}

with the direction of flow. Velocity of the river is

5 m/s

. Swimmer takes

6 seconds

to cross the river of width

60 m

. The velocity of the swimmer with respect to water (in

m s^{- 1}

)will be

A swimmer crosses the river along the line making an angle of 45° with the direction of flow. velocity of the river water is 5 m/sec Swimmer takes 6 seconds to cross the river of width 60 metre find the velocity of the swimmer with respect to water .

Q. A swimmer crosses the river along the line making an angle of

45^{\circ}

with the direction of flow. Velocity of the river water is

5 m/s

. Swimmer takes 6 seconds to cross the river of width

60 m

. The magnitude of velocity of the swimmer with respect to river will be

Join BYJU'S Learning Program

A swimmer crosses the river along the line making an angle of 45o with the direction of flow. Velocity of the river water is 5 m/s. Swimmer takes 12 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be :

The correct option is B 5 m/s T=Bvyvy=6012=5 m/sFor 45o anglevx=vy∴vx=5 m/s¯vM=5^i+5^j¯vR=5^i∴¯vMR=¯vM−¯vR=5^j

A swimmer crosses the river along the line making an angle of $45^{o}$ with the direction of flow. Velocity of the river water is 5 m/s. Swimmer takes 12 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be :

The correct option is B
5 m/s

$T = \frac{B}{v_{y}} v_{y} = \frac{60}{12} = 5 m / s F o r 45^{o} a n g l e v_{x} = v_{y} ∴ v_{x} = 5 m / s {¯ v}_{M} = 5^i + 5^j {¯ v}_{R} = 5^i ∴ {¯ v}_{M R} = {¯ v}_{M} - {¯ v}_{R} = 5^j$