Question

008. Which of the following graphs shows the graph between velocity (v) and (m) mass when
linear momentum (p) is constant?
(B)
(D)​

Answer 1

Answer:(c)

Explanation: As momentum is constant mass is inversely proportional to velocity

Answer 2

Option (C) shows the correct graph between velocity (v) and (m) mass when  linear momentum (p) is constant.

• We know that linear momentum (p) of an object = m X V where m and V are mass and velocity of the object respectively.

        ⇒ m = p / V

Since given that p is a constant

        ⇒ m ∝ 1 / V

i.e. when m increases, the value of v decreases and vice versa.

• The graph for inverse relation is a rectangular hyperbola that is shown in figure C.
• Graph A and B must have equations of the form y = mx + c with positive and negative m respectively.
• Graph D shows a parabolic equation.