Two identical charged particles each having a mass 10 g and charge 2.0 × 10-7 C area placed on a horizontal table with a separation of L between then such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g =10 ms -2 ]

Question

Two identical charged particles each having a mass 10 g and charge 2.0 × 10-7 C area placed on a horizontal table with a separation of L between then such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g =10 ms -2 ] (A) 12 cm (B) 10 cm (C) 8 cm (D) 5 cm

Tardigrade Admin · Accepted Answer

( kq 2/ L 2)=μ mg ⇒ L =√( k /μ mg ) q

12 cm

10 cm

8 cm

5 cm

L2kq2​=μmg⇒L=μmgk​q​

$\frac{k q ^{2}}{L ^{2}} = μ m g \Rightarrow L = \frac{k}{μ m g} q$