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The calorie is a unit of heat or energy ...

The calorie is a unit of heat or energy and it equals about 4.2 J where `1J=1kgm^(2)s^(-2)`. Suppose we employ a system of units in which the unit of mass equals `alpha` kg, the unit of length equals `beta` m and the unit of time is`gamma` s. Show that the calorie has a magnitude of `4.2alpha^(-1) beta^(-2) gamma^(2)` in terms of the new units.

A

`4.2 alpha 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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