Given below are two statements : one is labelled as Assertion A a… - Vidyadip

MCQ

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

Assertion $A$ : When a body is projected at an angle $45^{\circ}$, it's range is maximum.

Reason $R$ : For maximum range, the value of $\sin 2 \theta$ should be equal to one.

In the light of the above statements, choose the correct answer from the options given below :

A
Both $A$ and $R$ are correct but $R$ is NOT the correct explanation of $A$
✓
Both $A$ and $R$ are correct $R$ is the correct explanation of $A$
C
$A$ is true but $R$ is false
D
$A$ is false but $R$ is true

✓

Answer

Correct option: B.

Both $A$ and $R$ are correct $R$ is the correct explanation of $A$

b
$R =\frac{ u ^2}{ g } \sin 2 \theta$

$R$ is maximum for $2 \theta=90^{\circ}$.

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