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If the unit of mass is alpha kg, the uni...

If the unit of mass is `alpha` kg, the unit of length is `beta` metre and the unit of time is "`gamma`' second, The magnitude of calorie in the new system is (1 Cal = 4.23)

A

`4.2 alpha^2 beta^2 gamma^2 ` new units

B

`4.2 alpha^(-1) beta^(-2) gamma^(-2) ` new units

C

`alpha^(-1) beta^(-2) gamma^(-2) ` new units

D

`1/(4.2) alpha^(-1) beta^(-2) gamma^(-2) ` new units

Text Solution

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The correct Answer is:
B
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