Question

In a system of units in which the unit of mass is $a$ kg, unit of length is $b$ metre and the unit of time is $c$ second, the magnitude of a calorie is :

• A. $\frac{4.2c}{a{b}^2}$
• B. $\frac{4.2c^2}{a{b}^2}$
• C. $\frac{abc}{4.2}$
• D. $\frac{4.2}{abc}$

Answer 1

The correct option is B $\frac{4.2c^2}{a{b}^2}$

Calorie $=M{l}^2{T}^{-2}=4.2$ Joules
$\Rightarrow a{b}^2{c}^{-2}\times$ Calorie $=4.2J$
Calorie $=\frac{4.2c^2}{a{b}^2}$