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In a direct impact, loss in kinetic energy is given by $Δ K = \frac{M_{1} M_{2}}{2 (M_{1} + M_{2})} \cdot {(V_{1} - V_{2})}^{2} (1 - k^{2})$ with usual notations (except k). The quantity k will have dimensional formula

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M0L2T−2

MLT−1

M0L0T0

M0LT−1

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detailed solution

Correct option is C

It is clear that k should be dimensionless1−k2=M0L0T0 Hence, [k]=M0L0T0Actually k is the coefficient of restitution.

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In a direct impact, loss in kinetic energy is given by ΔK=M1M22M1+M2⋅V1−V221−k2 with usual notations (except k). The quantity k will have dimensional formula

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In a direct impact, loss in kinetic energy is given by $Δ K = \frac{M_{1} M_{2}}{2 (M_{1} + M_{2})} \cdot {(V_{1} - V_{2})}^{2} (1 - k^{2})$ with usual notations (except k). The quantity k will have dimensional formula