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Question

Physics Question on Units and measurement

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Range is maximum at θ = 45º.
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

Both assertion (A) and reason (R) are true & reason (R) is the correct explanation of assertion.

B

Both assertion (A) and reason (R) are true but reason (R is not correct explanation of assertion.

C

Assertion (A) is true and reason (R) is false.

D

Assertion (A) is false and reason (R) is false.

Answer

Both assertion (A) and reason (R) are true & reason (R) is the correct explanation of assertion.

Explanation

Solution

The correct option is(A): Both assertion (A) and reason (R) are true & reason (R) is the correct explanation of assertion.

R=u2sin(2θ)gR=\frac{u^{2}sin(2\theta)}{g}
For the Rmax
sin(2θ)=1sin(2\theta)=1
sin(2θ)=90osin(2\theta)=90^{o}
θ=45o\theta=45^{o}