Question

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is ______ × 10⁷ m/s.

Options

• 15

• 17

• 20

• 16

Answer 1

An electromagnetic wave of frequency 5 GHz, is travelling in a medium whose relative electric permittivity and relative magnetic permeability both are 2. Its velocity in this medium is 15 × 10⁷ m/s.

Explanation:

Given,

Frequency of electromagnetic wave (f) = 5 GHz

μ = 2

ε_r = 2

Velocity of wave, v = `"c"/"n"`

Since,  n = `(sqrtmu_"r"epsilon_"r")`

n = `sqrt(2xx2)`

= 2

Now,  v = `"c"/"n"`

Since, n = `(3xx10^8)/2`

v = 1.5 × 10⁸ m/s

v = 15 × 10⁷ m/s

Hence, the velocity in this medium is  15 × 10⁷ m/s

So, x = 15