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Shapes of Average and Marginal Cost Curves in the Short Run

In a direct i...

Question

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

A

[M^{0} L^{2} T^{- 2}]

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B

[M^{0} L^{0} T^{0}]

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C

[M^{0} L T^{- 1}]

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D

[M L T^{- 1}]

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Solution

The correct option is B $[M^{0} L^{0} T^{0}]$
As $k^{2}$ is subtracted from $1$ which is only possible when $k$ is dimensionless.
So, the dimensional formula of $k$ .
Final Answer: (c)

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Shapes of Average and Marginal Cost Curves in the Short Run

Standard XI Economics

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