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A transmission line whose characteristic impedance is a pure resistance

(a) Must be a lossless line

(b) Must be a distortionless line

(c) May not be a lossless line

(d) May be a lossless and may not be a distortionless line

I have been asked this question by my school teacher while I was bunking the class.

My question comes from Advanced and Tricky Questions topic in portion Advanced and Tricky Questions of Electromagnetic Theory

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The correct option is (d) May be a lossless and may not be a distortionless line

Easy explanation: When the characteristic line is a pure resistance, the line must be a distortionless line. But it may not be a lossless line.

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