MHT CET 2021 Physics Solved Paper

(a) Let m be the total mass of the rope of length I. Tension in the rope at a height h from lower end = weight of rope length h,
i.e.,
As
T‌‌=‌

mg

L

h
v‌‌=√‌

T

(‌ m L )

v‌‌=√‌

mg(h)

L(‌ m L )

=√gh

⇒‌‌v2=gh
Which represents a parabola symmetric along h-axis.
Thus, option (a) is represents the correct graph.