Question

If length, time and energy are fundamental units , find the dimension of mass

Answer 1

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Answer 2

The dimension of mass is Mass= (energy)(square of time)/(square of the length)

Given,

The length, time, and energy are fundamental units.

To find,

The dimension of mass.

Solution,

The question requires the concept of using other quantities to get the value of the dimension of other physical quantities.

In the given question, we have length, time, and energy. We can use energy to find the dimension of length, time, and mass.

According to the Einstein's equation,

Energy=Product of Mass and square of velocity.

$e = m {c}^{2}$

In terms of dimensions,

mass= energy/square of velocity.

Mass= (energy)(square of time)/(square of the length)

Hence, the dimensions.

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