Which of the following is the incorrect graph | vedclass

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(C) When a sphere falls in a viscous liquid,it experiences three forces: gravitational force $(mg)$ downwards,buoyant force $(F_B)$ upwards,and viscou

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(C) When a sphere falls in a viscous liquid,it experiences three forces: gravitational force $(mg)$ downwards,buoyant force $(F_B)$ upwards,and viscous drag force $(F_v = 6 \pi \eta R v)$ upwards.The net force $F_{net} = mg - F_B - 6 \pi \eta R v = ma$.Since $m, g, F_B, \eta, R$ are constants,we can write $ma = C_1 - C_2 v$,where $C_1 = mg - F_B$ and $C_2 = 6 \pi \eta R$.This shows that acceleration $a$ is a linear function of velocity $v$ $(a = \frac{C_1}{m} - \frac{C_2}{m} v)$. Therefore,the graph of $a$ versus $v$ should be a straight line with a negative slope,not a curve.Graph $C$ shows $a$ versus $v$ as a non-linear curve,which is incorrect. Thus,option $C$ is the incorrect graph.

Which of the following is the incorrect graph for a sphere falling in a viscous liquid? (Given at $t = 0$,velocity $v = 0$ and displacement $x = 0$.)

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