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If the wavelength of the signal to be transmitted by an antenna is increased by $2$ times, then the effective power radiated by the antenna

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For an antenna, \[ P\propto \nu^2 \] and since \[ \nu=\frac{c}{\lambda}, \] \[ P\propto \frac{1}{\lambda^2}. \] So if wavelength doubles, \[ P \rightarrow \frac{P}{4}. \]

Updated On: Jul 29, 2026

Becomes 1/4 times the initial value
Increases by 4 times the initial value
Remains same
Becomes 1/2 times the initial value

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The Correct Option is A

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List-I (Modulation Schemes)	List-II (Wave Expressions)
(A) Amplitude Modulation	(I) \( x(t) = A\cos(\omega_c t + k m(t)) \)
(B) Phase Modulation	(II) \( x(t) = A\cos(\omega_c t + k \int m(t)dt) \)
(C) Frequency Modulation	(III) \( x(t) = A + m(t)\cos(\omega_c t) \)
(D) DSB-SC Modulation	(IV) \( x(t) = m(t)\cos(\omega_c t) \)

If the wavelength of the signal to be transmitted by an antenna is increased by \(2\) times, then the effective power radiated by the antenna

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The Correct Option is A

Solution and Explanation

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