Q.

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. 

Assertion A :Two identical balls A and B thrown with same velocity ' u ' at two different angles with horizontal attained the same range R. If A and B reached the maximum height h1 and h2 respectively, then R=4h1 h2
Reason R: Product of said heights h1 h2=u2sin2θ2 g·u2cos2θ2 g

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a

Both A and R are true and R is the correct explanation of A.

b

A is false but R is true

c

A is true but R is false

d

Both A and R are true but R is NOT the correct explanation of A.

answer is A.

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Detailed Solution

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 For same range θ1+θ2=90°

Question Image

h1=u2sin2θ12g h2=u2sin2θ22g  h1h2=u2sin2θ12g×u2sin2θ22g θ2=90θ1 h1h2=u2sin2θ12gu2cos2θ12g =[u2sinθ1cosθ12g]2 =[u2sinθ1cosθ12g×22]2=R216 R=4h1h2 So R is correct explanation of A

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