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Three identical charges, each 2 C lie at the vertices of a right angled triangle as shown in the figure. Forces on the charge at B due to the charges at A and C respectively are F₁ and F₂ . The angle between their resultant force and F₂ is

Options

  1. A⁻¹ ( 9 16 )
  2. B⁻¹ ( 9 7 )
  3. C⁻¹ ( 16 9 )
  4. D⁻¹ ( 7 9 )

Correct answer

C. ⁻¹ ( 16 9 )

Step-by-step solution

From figure the net force F_ net due to F₁ and F₂ makes an angle with force F ₂ aligned & = F ₁ ~F ₂ & Also, F ₁=k q₁ q₂ (3)^2 & q₁=q₂=q₃=2 C & F ₂=k q₁ q₃ (4)^3 & =k q₁ q₂ /(3)^2 q₁ q₃ /(4)^2 = (4)^2 (3)^2 = 16 9 & = ⁻¹ ( 16 9 ) aligned

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