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The rms value of a thermal noise voltage is proportional to (where k is Boltzmann’s constant) _______

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The rms value of a thermal noise voltage is proportional to (where k is Boltzmann’s constant) _______

(a) √k

(b) k

(c) k^2

(d) k^^1⁄3

I have been asked this question in an online quiz.

Question is taken from Quadrature Carrier Multiplexing topic in division Double Sideband Suppressed Carrier Modulation of Analog Communications

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Correct answer is (a) √k

The best I can explain: Thermal noise is the noise generated in electronic devices at frequencies below a few kilohertz, due to thermal excitation of electrons. The root mean square value of thermal noise is proportional to root k times, where k represents Boltzmann’s constant.

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