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JEE Main 20206 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
6 September
Shift
Evening Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2020 · 6 September · Evening Shift · Physics · Motion in One Dimension

When a car is at rest, its driver sees rain drops falling on it...

When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed vv, he sees that rain drops coming at an angle 60∘{60}^{∘} from the horizontal. On further increasing the speed of the car to \left(1 + \beta\right)v,thisanglechangesto, this angle changes to{45}^{∘}.Thevalueof. The value of\beta is close to :When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with speed v , he sees

Options

  1. A0.500 . 50
  2. B0.410 . 41
  3. C0.370 . 37
  4. D0.730 . 73

Correct answer

D. 0.730 . 73

Step-by-step solution

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

tan=60°=vrgvtan = 60 ° = \dfrac{{v}_{rg}}{v} ........\left(1\right)</p><p></p><p>\tan 45 ° = \dfrac{{v}_{rg}}{( \beta + 1 ) v}..........(2)..........\left(2\right)

3v=(β+1)v\sqrt{3}v = ( \beta + 1 ) v

β=3−1=0.732\beta = \sqrt{3} - 1 = 0 . 732

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