JEE Main 2016 · 10 Apr · Shift 1 · Physics Q25

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PhysicsSingle correct+4 / -1Question 25 of 90

A particle of mass m is acted upon by a force F given by the empirical law $F=\dfrac R{t^2}v(t)$ . If this law is to be tested experimentally by observing the motion starting from rest, the best way is to plot :

v(t) against

t^2

log v(t) against

\dfrac1{t^2}

log v(t) against t

log v(t) against

\dfrac1t

Answer and worked solution

Official answer: D

$m\frac{dv}{dt}=\frac R{t^2}v$ gives $\ln v=-\frac R{mt}+c$ , a straight line when log v is plotted against $\frac1t$ .

Topics:Newton's laws Errors in experiments

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JEE Main 2016 · 10 Apr · Shift 1, Physics question 25