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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 :

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