The length of a rod is exactly 1 m when measured at rest . What will be its length when it moves at a speed of (a) `3 xx 10^(5)m s ^(-1)` (b) `3 xx 10^(6) m s^(-1)` and ( c) `3 xx 10^(7) m s ^(-1)` ?

Explanation

To solve the problem of finding the length of a rod moving at different speeds according to the principles of special relativity, we will use the formula for length contraction:

\[ L = L_0 \sqrt{1 - \frac{v^2}{c^2}} \]

where:
- \( L \) is the contracted length,
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