From a given sample of uniform wire, two circular loops P and Q are made, P of radius r and Q of radius nr. If the M.I. of Q about its axis is $$4$$ times that of P about its axis (assuming$$ wire diameter much smaller than either radius of the $$loops), the value of n is:

Question

Infinity Learn · Accepted Answer

MOMENT OF INERTIA OF A RING $$=MR2=($$λ$$2$$$$π$$$$R)R2=$$λ$$2$$$$π$$$$R3$$λ is mass per unit length of wireTHEREFORE $$IQIP=RQ3RP3=n31n3=4$$⇒$$n=41/3$$

From a given sample of uniform wire, two circular loops P and Q are made, P of radius r and Q of radius nr. If the M.I. of Q about its axis is 4 times that of P about its axis (assuming wire diameter much smaller than either radius of the loops), the value of n is:

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