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Q.

A 60 cm metal rod OA is joined to another 100 cm metal rod OB to form an L shaped single piece. This piece is hung on a peg at the joint O . The two rods are observed to be equally inclined to the vertical. If the two rods are equally thick, the ratio of density of OA to that of OB is

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a

5/3

b

3/5

c

25/9

d

9/25

answer is C.

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Detailed Solution

For equilibrium, moment of m1g about O = moment of m2g about O ⇒ (λ1 x 60 x g) x 30sinθ =  (λ2 x 100 x g) x 50sinθ
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A 60 cm metal rod OA is joined to another 100 cm metal rod OB to form an L shaped single piece. This piece is hung on a peg at the joint O . The two rods are observed to be equally inclined to the vertical. If the two rods are equally thick, the ratio of density of OA to that of OB is