JEE MAIN - Physics (2022 - 27th June Morning Shift - No. 2)

A girl standing on road holds her umbrella at 45$$^\circ$$ with the vertical to keep the rain away. If she starts running without umbrella with a speed of 15$$\sqrt2$$ kmh$$-$$1, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is :
30 kmh$$-$$1
$${{25} \over {\sqrt 2 }}$$ kmh$$-$$1
$${{30} \over {\sqrt 2 }}$$ kmh$$-$$1
25 kmh$$-$$1

Explanation

JEE Main 2022 (Online) 27th June Morning Shift Physics - Motion in a Plane Question 41 English Explanation

From graph,

$${v_{RG}} = 15\sqrt 2 \tan 45^\circ $$

$$ = 15\sqrt 2 $$

$$ = {{30} \over {\sqrt 2 }}$$

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