Q98 / 120 · VITEEE 2006 · Physics

A new system of units is evolved in which the values of $\mu_{0}$ and $\varepsilon_{0}$ are 2 and 8 respectively. Then the speed of light in this system will be

  • Correct answer
    A
    $0.25$
  • B
    $0.5$
  • C
    $0.75$
  • D
    1

Solution

Velocity of electromagnatic wave in space is $\mathrm{c}=\frac{1}{\sqrt{\mu_{0} \in_{0}}} \Rightarrow \mathrm{c}=\frac{1}{\sqrt{2 \times 8}}$ $=\frac{1}{\sqrt{16}}=\frac{1}{4}=0.25$

Hence, the correct answer is option: 'A'.

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