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When a car is at rest, its driver sees r...

When a car is at rest, its driver sees rain deops falling on it vertically. When driving the car with spped v, he sees that rain drops are coming at an angle `60^@` from the horizontal. On further increasing the speed of the car to `(1 +beta)v`, this angle changes to` 45^@`. The value of `beta` is close to :

A

`0.50`

B

`0.41`

C

`0.37`

D

`0.73`

Text Solution

Verified by Experts

The correct Answer is:
D

`tan60^(@) =(v_(rg))/v`
`tan 45^(@) =(v_(rg))/((beta+1)v)`
`sqrt(3)v=(beta+1)v`
`beta = sqrt(3)-1 =0.732`
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