A famous relation in physics relates the moving mass ` m` to the rest mass `m_(0)` of a particle in terms of its speed `v` and the speed of light `c`.( This relation first arose as a consequence of the special theory of relativity due to Albert Einstein). A body recalls the relation almost correctly but forgets where to put the constant `c` . He writes `m = (m_(0))/((1- V^(2))^(1//2))`. Guess where to put the missing `c`.
Text Solution
AI Generated Solution
To solve the problem of where to place the constant `c` in the given equation relating moving mass `m` to rest mass `m_0`, we need to analyze the dimensions of the terms involved.
### Step-by-Step Solution:
1. **Understanding the Given Equation**:
The body wrote the equation as:
\[
m = \frac{m_0}{\sqrt{1 - v^2}}
...
If the material particle is moving with velocity v and the velocity of light is c, then mass of particle is taken as ( m_0 is rest mass)
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