Verified Solution • 2025–26 Session moderate

QNEET-2019-Ph-818: NEET 2019 Physics - Class 11 NEET-2019-Ph-818 Solution: When an object is shot from the bottom of a long smooth…

When an object is shot from the bottom of a long smooth inclined plane kept at an angle

60^\circ

with horizontal it can travel a distance

x_1

along the plane. But when the inclination is decreased to

30^\circ

and the same object is shot with the same velocity it can travel

x_2

distance. Then

x_1 : x_2

will be:

1:\sqrt{2}

\sqrt{2}:1

1:\sqrt{3}

1:2\sqrt{3}

Multiple Choice Options

A 1 : $\sqrt 2$ 2 _
B $\sqrt 2$ 2 _ : 1
C 1 : $\sqrt 3$ 3 _
D 1 : 2 $\sqrt 3$ 3 _

Step-by-Step Verified Solution

Assume initial velocity = u In first case, Moved distance, (x 1 ) = u 2 2 g sin _ 60 o In second case, Moved distance, (x 2 ) = u 2 2 g sin _ 30 o _ x 1 x 2 = sin _ 30 o sin _ 60 o = 1 _ 2 2 _ 3 = 1 3

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