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Q.

Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is π3 and the maximum height reached by it is 102 m. then the maximum height reached by the other in metre is:

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a

336

b

224

c

56

d

34

answer is D.

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Detailed Solution

For same horizontal range for two angles of projectionθ1+θ2=π2=900 If θ1=π3=600 θ2=π6=300 (∵u1=u2) ∴ H2=u2sin2θ22g and H1=u2sin2θ12g ∴ H2=sin2π/6sin2π/3×H1=(1/4)(3/4)×102=34m

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