GATE 2015 EE – SET 2 – Question 41

Solution :

GMR = KR
GMR = $$\left [ (D_{11}D_{12}D_{13}) (D_{21}D_{22}D_{23})(D_{31}D_{32}D_{33})\right ]^{\frac{1}{m*n}}$$

GMR = KR
GMR =$$ \left [ (3R*r*0.7788R)^{3}\right ]^{\frac{1}{3*3}} $$
$$\rightarrow $$$$\left [ (0.7788*9*R^{3})^{3} \right ]^{\frac{1}{9}}$$
$$\Rightarrow$$ 1.914R