An L -shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure(the object is in equilibrium). If AB = BC, and the angle made by AB with downward vertical is θ, then :

Let mass of one rod is ‘m’.Balancing  torque about hinge point.mgC1P=mgC2N…..(1)C1P=L2sin⁡θ and C2N=C2L−LNC2L=L2cos⁡θLN=AA′=Lsin⁡θ⇒C2N=L2cos⁡θ−Lsin⁡θ From (1)⇒mgL2sin⁡θ=mgL2cos⁡θ−Lsin⁡θ⇒32mgLsin⁡θ=12mgLcos⁡θ⇒tan⁡θ=13Therefore, the correct answer is (B).