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A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution?
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A swimmer's speed in still water is Vo.A river flows with velocity V1....
Given:
- Speed of swimmer in still water = Vo
- Velocity of river = V1
- Angle between the line of crossing and the bank of the river = 60 degrees
- Possible crossing times = To and 7To
- Ratio of Vo/V1 = (n^1/2) / 6
Formula used:
Let x be the width of the river.
For the swimmer to cross the river in time To or 7To, we have the following equation:
x = Vo * To * cos(60 degrees) = (Vo - V1) * To
x = Vo * 7To * cos(60 degrees) = (Vo + V1) * 7To
Solution:
- From the equations above, we get:
Vo * To * cos(60 degrees) = (Vo - V1) * To
Vo * 7To * cos(60 degrees) = (Vo + V1) * 7To
- Simplifying the equations, we get:
Vo * cos(60 degrees) = Vo - V1
Vo * cos(60 degrees) = 7Vo + 7V1
- Dividing the two equations, we get:
(Vo - V1) / (7Vo + 7V1) = 1 / 7
- Given that Vo/V1 = (n^1/2) / 6, we can substitute this into the equation above and solve for n:
(Vo - V1) / (7Vo + 7V1) = 1 / 7
((n^1/2) / 6 - V1) / (7(n^1/2) / 6 + 7V1) = 1 / 7
- Simplify the equation and solve for n to find the value of n.
Therefore, by solving the above equation, we can find the value of n.
- Speed of swimmer in still water = Vo
- Velocity of river = V1
- Angle between the line of crossing and the bank of the river = 60 degrees
- Possible crossing times = To and 7To
- Ratio of Vo/V1 = (n^1/2) / 6
Formula used:
Let x be the width of the river.
For the swimmer to cross the river in time To or 7To, we have the following equation:
x = Vo * To * cos(60 degrees) = (Vo - V1) * To
x = Vo * 7To * cos(60 degrees) = (Vo + V1) * 7To
Solution:
- From the equations above, we get:
Vo * To * cos(60 degrees) = (Vo - V1) * To
Vo * 7To * cos(60 degrees) = (Vo + V1) * 7To
- Simplifying the equations, we get:
Vo * cos(60 degrees) = Vo - V1
Vo * cos(60 degrees) = 7Vo + 7V1
- Dividing the two equations, we get:
(Vo - V1) / (7Vo + 7V1) = 1 / 7
- Given that Vo/V1 = (n^1/2) / 6, we can substitute this into the equation above and solve for n:
(Vo - V1) / (7Vo + 7V1) = 1 / 7
((n^1/2) / 6 - V1) / (7(n^1/2) / 6 + 7V1) = 1 / 7
- Simplify the equation and solve for n to find the value of n.
Therefore, by solving the above equation, we can find the value of n.
Community Answer
A swimmer's speed in still water is Vo.A river flows with velocity V1....
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A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution?
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A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution?.
A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution?.
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A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution?, a detailed solution for A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution? has been provided alongside types of A swimmer's speed in still water is Vo.A river flows with velocity V1.The swimmer crosses the river along a line making 60 degree with bank of the river.The time for crossing can have two possibilities i.e To and 7To .Then ratio of Vo/V1=(n^1/2)/6 then find n?Answer with solution? theory, EduRev gives you an
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