Question

Three identical charges are placed on three vertices of a square. If the force acting between q₁ and q₂ is F₁₂ and between q₁ and q₃ is f₁₃ then `"F"_13/"F"_12` = ____________.

विकल्प

• `1/2`

• 2

• `1/sqrt2`

• `sqrt2`

Answer 1

Three identical charges are placed on three vertices of a square. If the force acting between q₁ and q₂ is F₁₂ and between q₁ and q₃ is f₁₃ then `"F"_13/"F"_12` = `1/2`.

Explanation:

`"F"_12 = 1/(4piepsilon_0) . "q"^2/"a"^2 and "F"_13 = 1/(4pi epsilon_0) . "q"^2/("a"sqrt2)^2`

`therefore  "F"_13/"F"_12 = 1/2`