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Which statement is true about thermal noise power?

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Which statement is true about thermal noise power?

(a) it is proportional to B

(b) it is proportional to √B

(c) it is proportional to ^B⁄2

(d) it is proportional to ^√B⁄2

The question was posed to me by my school principal while I was bunking the class.

My question comes from Threshold Effect in FM topic in portion Noise of Analog Communications

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Correct answer is (a) it is proportional to B

The best explanation: Thermal noise is effectively white noise. It extends over a wide range spectrum. Its noise power is proportional to the bandwidth (B).

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