Question

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 

\(R=\sqrt{4ℎ1ℎ2}.\)

Reason R: Product of said heights.

\(h_1h_2=(\frac{u^2sin^2θ}{2g}).(\frac{u^2cos^2θ}{2g})\)

• A. Both A and R are true and R is the correct explanation of A.
• B. Both A and R are true but R is NOT the correct explanation of A.
• C. A is true but R is false.
• D. A is false but R is true.

Answer 1

The Correct Option is A

The correct Option is(A): Both A and R are true and R is the correct explanation of A.

\(h_1=\frac{u^2sin^2θ}{2g}\)

\(h_2=\frac{u^2cos^2θ}{2g}\)

∴ \(\sqrt{h_1h_2}=\frac{u^2sinθcosθ}{2g}\)

\(=\frac{R}{4}\)

\(⇒R=4\sqrt{h_1h_2}\)