Due to presence of an em-wave whose electric component is given by E = 100 sin(ω t - kx) NC⁻¹, a cylinder of l…

Question

Due to presence of an em-wave whose electric component is given by $E = 100 \sin(\omega t - kx) \, \text{NC}^{-1}$ , a cylinder of length $200 \, \text{cm}$ holds certain amount of em-energy inside it. If another cylinder of same length but half diameter than previous one holds same amount of em-energy, the magnitude of the electric field of the corresponding em-wave should be modified as:

A
$200 \sin(\omega t - kx) \, \text{NC}^{-1}$
B
$25 \sin(\omega t - kx) \, \text{NC}^{-1}$
C
$50 \sin(\omega t - kx) \, \text{NC}^{-1}$
D
$400 \sin(\omega t - kx) \, \text{NC}^{-1}$

Accepted Answer

A. $$200 \sin(\omega t - kx) \, 	ext{NC}^{-1}$$

Answer

B. $$25 \sin(\omega t - kx) \, 	ext{NC}^{-1}$$

Answer

C. $$50 \sin(\omega t - kx) \, 	ext{NC}^{-1}$$

Answer

D. $$400 \sin(\omega t - kx) \, 	ext{NC}^{-1}$$

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