Question

Assertion :Two particles of different mass, projected with the same velocity at same angles. The maximum height attained by both the particle will be same. Reason: The maximum height of projectile is independent of particle mass.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Let the particles be thrown with velocity $u$ making an angle $\theta$ with the horizontal.

$⟹$ $u_y=usin\theta$

At maximum height $\left(H\right)$, vertical component of velocity is zero i.e $V_y=0$

Using $V_y^2-u_y^2=2a_{y}S$

$\therefore$ $0-(usin\theta {)}^2=2(-g)H$ $⟹H=\frac{u^{2}si{n}^2\theta }{2g}$

Thus the maximum height attained by both the particle is same.

Also from the equation used, the maximum height of projectile is independent of particle mass.

Hence option A is correct.