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JIPMER2005PhysicsCurrent Electricity

When a certain current is passed in the circuit as shown in figure, 10 kcal of heat is produced in 5 resistance. How much heat is produced in 4 resistance?

Options

  1. A4 kcal
  2. B2 kcal
  3. C5 kcal
  4. D3 kcal

Correct answer

B. 2 kcal

Step-by-step solution

Heat produced in 5 =10 kcal Now from the relation. H₁=i₁^2 R₁ t or i₁^2= H₁ R₁ t or i₁^2= H₁ 5 t ...(1) Again, 5 i₁=10 i₂ or i₂= i₁ 2 Now heat produced in 4 resistance is aligned H₂ & =i₂^2 R₂ t i₂^2 & = H₂ R₂ t aligned or i₁^2 4 = H₂ 4 t or i₁^2= H₂ t ...(2) From eqs. (1) and (2) aligned H₂ t & = H₁ 5 t or H₂ & = H₁ 5 = 10 2 =2 kcal aligned

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