A car with a vertical windshield moves in a rain storm at a speed of 40 km / hr. The rain drops fall vertically with constant speed of 20 m / s. The angle at which rain drops strike the windshield is

Question

A car with a vertical windshield moves in a rain storm at a speed of 40 km / hr. The rain drops fall vertically with constant speed of 20 m / s. The angle at which rain drops strike the windshield is (A)  tan -1 (5/9) (B)  tan -1 (9/5) (C)  tan -1 (3/2) (D)  tan -1 (2/3)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/24b3e084eff535c6bfba3cbc5ad4d2ad-.png" /> tan θ=(vm/vr)=((20 × 5/9)/20) θ= tan -1((5/9))

Q. A car with a vertical windshield moves in a rain storm at a speed of $40 km / h r$ . The rain drops fall vertically with constant speed of $20 m / s$ . The angle at which rain drops strike the windshield is

$tan^{- 1} \frac{5}{9}$

$tan^{- 1} \frac{9}{5}$

$tan^{- 1} \frac{3}{2}$

$tan^{- 1} \frac{2}{3}$

$tan θ = \frac{v _{m}}{v _{r}} = \frac{\frac{20 \times 5}{9}}{20}$
$θ = tan^{- 1} (\frac{5}{9})$

Q. A car with a vertical windshield moves in a rain storm at a speed of 40km/hr. The rain drops fall vertically with constant speed of 20m/s. The angle at which rain drops strike the windshield is

tan−195​

tan−159​

tan−123​

tan−132​