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# Four rods of equal length I and each of mass m form a square as shown in figure.Moments of inertia about three axes 1, 2 and 3 are say I1,I2 and I3• Then, match the following columnsand mark the correct option from the codes given below.Column I(A)   I1(B)   I2(C)  I3Column II(p)   $\frac{4}{3}m{l}^{2}$(q)   $\frac{2}{3}m{l}^{2}$(r )    $\frac{1}{2}m{l}^{2}$(s)   None

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a
A  B  Cq s p
b
A  B  Cp  s  q
c
A  B  Cr  p  q
d
A  B  Cq   s  q

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detailed solution

Correct option is D

( A) I1=2ml212+2(m)l22=23ml2 (B) I2=0+2ml23+ml2=53ml2 (C) I3=4ml23sin245°=23ml2=I1Hence,  A→q,B→s,C→q

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