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A uniform plane wave has a wavelength of 2 cm in free space and 1 cm in a perfect dielectric. What is the relative permittivity of the dielectric?
  • a)
    2              
  • b)
    0.5            
  • c)
    4               
  • d)
    0.25
Correct answer is option 'C'. Can you explain this answer?
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Given:

Wavelength in free space (λ0) = 2 cm

Wavelength in dielectric (λ) = 1 cm

Relative permittivity of dielectric (εr) = ?


Formula:

λ = λ0 / √εr

εr = (λ0 / λ)^2


Calculation:

Substituting the given values in the formula,

εr = (λ0 / λ)^2

εr = (2 / 1)^2

εr = 4


Hence, the relative permittivity of the dielectric is 4. Therefore, option (c) is the correct answer.
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A uniform plane wave has a wavelength of 2 cm in free space and 1 cm in a perfect dielectric. What is the relative permittivity of the dielectric?a)2b)0.5c)4d)0.25Correct answer is option 'C'. Can you explain this answer?
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