Question

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R.
Assertion (A): Range of a horizontal projectile is maximum when angle of projection is $θ = 45°$.
Reason (R): Range is maximum when $sin\ (2θ)=1$.
In the light of the above statements, choose the correct answer from the options given below

• A. (A) and (R) both are true and (R) is correct explanation of (A)
• B. (A) and (R) both are true but (R) is not correct explanation of (A)
• C. (A) is true and (R) is false
• D. Both (A) and (R) are false

Answer 1

Answer: (A)

(A) and (R) both are true and (R) is correct explanation of (A)

Answer 2

We know that:

Range $R = \frac{\mu^2}{g}\,sin\,2\theta$

R is maximum for $2\theta=90^o$

⇒ $\theta=45^o$

So, the correct option is (A): (A) and (R) both are true and (R) is correct explanation of (A).