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  4. Which equation is dimensionally incorrect? [Here, t= Time, p = Momentum, i = Impuls, m = Mass, g = Acceleration, v = Speed, f= Force, r = radius/distance, I= Industance, C = Capacitance, R = Resistance, I = Moment of inertia)

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Q. Which equation is dimensionally incorrect?
[Here, $t=$ Time, $p =$ Momentum, $i =$ Impuls, $m =$ Mass, $g =$ Acceleration, $v =$ Speed, $f=$ Force, $r =$ radius/distance, $I=$ Industance, $C =$ Capacitance, $R =$ Resistance, $I =$ Moment of inertia)

Physical World, Units and Measurements

Solution:

$mvr$ and $I\omega$ have same dimensions, i.e., $[ML^2T^{-1}]$ while $Fr$ has dimensions $[ML^2T^{-2}]$.