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 four times that of P about its axis (assuming$$ the wire to be of diameter much smaller than either $$radius), the value of n is

Question

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 four times that of P about its axis (assuming$$ the wire to be of diameter much smaller than either $$radius), the value of n is

Infinity Learn · Accepted Answer

Given $$thatIQ=41P$$, Here I $$=$$ mass x (radius)2$$. If s is the linear mass density $$(mass/$$ $$length) of the wire, σ× $$2$$$$π$$nr × $$n2r2=$$ $$4($$σ× $$2$$$$π$$r × $$r2)$$⇒$$n3=$$ $$4$$

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 four times that of P about its axis (assuming the wire to be of diameter much smaller than either radius), the value of n is

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