Relative Velocity in Two Dimensions question from JEE Main 2020 (6 Sep, Shift 2)

Answer: (b)

1. Rain falls vertically with speed $u$; relative to the car it has horizontal component equal to car speed.
2. At $60^\circ$ from horizontal: $\tan 60^\circ = \frac{u}{v} \Rightarrow u = \sqrt{3}v$
3. At $45^\circ$: $u = (1+\beta)v \Rightarrow 1 + \beta = \sqrt{3}$
4. $\beta = 0.732$, so the answer is (b) 0.73.