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The time taken by a particle to slide down a smooth inclined plane is double the time it would take in falling down through a height equal to the vertical height of the plane. The inclination of the plane with horizontal is:

a
30°
b
45°
c
60°
d
90°

detailed solution

Correct option is A

time taken along the inclined planet=2Lgsinθ  from the same  height if it falls t'=2hg given t=2t' but h=Lsinθ 2Lgsinθ=22hg 2Lsinθg=42Lsinθg sin2θ=14; θ=300

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The time taken by a particle to slide down a smooth inclined plane is double the time it would take in falling down through a height equal to the vertical height of the plane. The inclination of the plane with horizontal is:


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