A letter ‘A’ is constructed of a uniform wire with resistance 1.0 Ω per cm. The sides of the letters are 20 cm and the cross piece in the middle is 10cm long. The apex angle is 600. The resistance between the ends of the legs is close to

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A letter ‘A’ is constructed of a uniform wire with resistance 1.0 $Ω$ per cm. The sides of the letters are 20 cm and the cross piece in the middle is 10cm long. The apex angle is 60⁰. The resistance between the ends of the legs is close to

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10 $Ω$

50.0 $Ω$

26.7 $Ω$

36.7 $Ω$

answer is D.

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Detailed Solution

$Step 1 : \frac{20 \times 10}{20 + 10} = \frac{20}{3} Step 2 : 20 + \frac{20}{3} = \frac{80}{3} \Rightarrow \frac{80}{3} = 26.7 Ω$

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