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BITSAT2012PhysicsCurrent ElectricityActual

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:

Options

  1. A50.0
  2. B10
  3. C36.7
  4. D26.7

Correct answer

D. 26.7

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 (i) 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 R _ BC = 20 10 10+2 10 +20-10+20-10= 80 3 =26.7

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