EasyPhysics1Motion in a Plane
+4 / -1
Assertion: Two particles of different masses are projected with same velocity at same angles. The maximum height attained by both the particles will be same. Reason: The maximum height of projectile is independent of particle mass.
A
Assertion is True, Reason is True; Reason is correct explanation for Assertion
B
Assertion is True, Reason is True; Reason is not correct explanation for Assertion
C
Assertion is True, Reason is False
D
Assertion is False, Reason is True
Explanation
Let the particles be thrown with velocity \(u\) making an angle \(\theta\) with the horizontal. \(u_y = u\sin\theta\) At maximum height \(H\), vertical velocity becomes zero. Using \(v_y^2 - u_y^2 = 2a_y S\): \((u\sin\theta)^2 = 2(-g)H\) \(H = \frac{u^2 \sin^2\theta}{2g}\) Thus the maximum height depends only on velocity and angle, not on mass. Therefore both particles attain the same maximum height.
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