A letter ^ A ^ is constructed of a uniform wire with resistance 1.0 per cm , The sides of the letter are 20 ~cm and the cross piece in the middle is 10 ~cm long. The apex angle is 60 . The resistance between the ends of the legs is close to:

Step-by-step solution

For ADE 1 R ^ = 1 2 x + 1 10 or R^ = 20 x 10+2 x R _ BC = 20 x 10+2 x +20- x +20- x or 20 x 10+2 x +40=2 x Solving we get x =10 Putting the value of x=10 in equation (i) We get aligned R _ BC & = 20 10 10+2 10 +20-10+20-10 & = 80 3 =26.7 aligned