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Due to presence of an em-wave whose electric component is given by \(E=100\sin (\omega t-kx)N{C}^{-1}\), a cylinder of l…

Q1

Due to presence of an em-wave whose electric component is given by \(E=100\sin (\omega t-kx)N{C}^{-1}\), a cylinder of length 200 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

[JEE Main 2025, 28 Jan (Shift 1)]

a

\(25\sin (\omega t-kx)N{C}^{-1}\)

b

\(50\sin (\omega t-kx)N{C}^{-1}\)

c

\(400\sin (\omega t-kx)N{C}^{-1}\)

d

\(200\sin (\omega \mathrm{t}-\mathrm{kx}){\mathrm{NC}}^{-1}\)

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