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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Motion in Two Dimensions

NTA Abhyas 2020 · Physics · Motion in Two Dimensions

Rain drops fall vertically at a speed of 20m s ^ - 1 . At what...

Rain drops fall vertically at a speed of 20ms−120m{s}^{- 1}. At what angle (in degree) do they fall on the wind screen of a car moving with a velocity 15ms−115m{s}^{- 1}, if the wind screen is inclined at an angle of 23°23 ° to the vertical? [tan⁡−1(0.75)≈37°\tan^{- 1}\left(0 . 75\right) \approx 37 °]Rain drops fall vertically at a speed of 20m s ^ - 1 . At what angle (in degree) do they fall on the wind screen of a

Correct answer

60

Step-by-step solution

Rain drops fall vertically at a speed of 20m s ^ - 1 . At what angle (in degree) do they fall on the wind screen of a

tan⁡(90°−θ)=2015\tan ( 90 ° - \theta ) = \dfrac{20}{15}

∴cotθ=2015=43∴ cot\theta = \dfrac{20}{15} = \dfrac{4}{3}

⇒θ=37°⇒ \theta = 37 °

∴ϕ=37°+23°=60°∴ ϕ = 37 ° + 23 ° = 60 ° (Angle made with the windscreen)
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