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Q.

A body projected along an inclined plane of angle of inclination 30° stops after covering a distance x1. The same body projected with the same speed stops after covering a distance x2, if the angle of inclination of the inclined plane is increased to 60°. The ratio x1/x2 is

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a

1

b

2

c

3

d

2

answer is C.

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Detailed Solution

Let the initial speed be u. Final speed v = 0 in both cases. The retardation for θ1=30∘ is a1=gsin⁡θ1 and θ2=60∘is a2=gsin⁡θ2. Now, using v2−u2=2ax, we have  u2=2a1x1=2a2x2Thus x1x2=a2a1=gsin⁡θ2gsin⁡θ1=sin⁡60∘sin⁡30∘=3Hence the correct choice is (c).
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