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What is the relation between time constant and load resistance?

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What is the relation between time constant and load resistance?

(a) They don’t depend on each other

(b) They are directly proportional

(c) They are inversely proportional

(d) Cannot be predicted

I got this question at a job interview.

This is a very interesting question from CLC Filter topic in portion Application of Diodes of Electronic Devices & Circuits

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Correct choice is (c) They are inversely proportional

Easy explanation: If the load resistance value is large, the discharge time constant will be of a high value. Thus the capacitors time to discharge will get over soon. This lowers the amount of ripples in the output and increases the output voltage. If the load resistance is small, the discharge time constant will be more with decrease in output voltage.

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