When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed…

When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v, he sees that rain drops coming at an angle 60∘ from the horizontal. On further increasing the speed of the car to 1+βv, this angle changes to 45∘. The value of β is close to :
  1. 0.50
  2. 0.41
  3. 0.37
  4. 0.73

Solution

   

tan=60°=vrgv               ........1

tan45°=vrg(β+1)v            ..........2

3v=(β+1)v

β=3-1=0.732

 

Asked in: JEE Main 2020 (06 Sep Shift 2)

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