Kinematics Question 460
Question: Assertion: For projection angle $ {{\tan }^{-1}}(4) $ , the horizontal range and the maximum height of a projectile are equal. Reason: The maximum range of projectile is directly proportional to square of velocity and inversely proportional to acceleration due to gravity.
Options:
A) If both assertion and reason are true and the reason is the correct explanation of the assertion.
B) If both assertion and reason are true but reason is not the correct explanation of the assertion.
C) If assertion is true but reason is false.
D) If the assertion and reason both are false.
E) If assertion is false but reason is true.
Show Answer
Answer:
Correct Answer: B
Solution:
We know $ R=4H\cot \theta $ if $ R=H $
then $ \cot \theta =( \frac{1}{4} ) $ or tan $ \theta =(4) $ and $ R=\frac{u^{2}\sin 2\theta }{g} $
$ R\propto \frac{u^{2}}{g} $
