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Question

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60 with horizontal, it can travel a distance x1 along the plane. But when the inclination is decreased to 30o and the same object is shot with the same velocity, it can travel x2 distance. Then x1:x2 will be :

A
1:2
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B
2:1
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C
1:3
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D
1:23
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Solution

The correct option is A 1:3
(Stopping distance) x1=u22gsin60o
(Stopping distance) x2=u22gsin30o
x1x2=sin30osin60o=1×22×3=1:3
1259383_1618835_ans_16eeb3ca84ce47b88254edba4f7ecc09.png

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