Two identical charges repel each other with a force equal to 10 mgwt when they are 0.6 m apart in air.( g = 10 ms-2 ) The value of each charge is

Question

Two identical charges repel each other with a force equal to 10 mgwt when they are 0.6 m apart in air.( g = 10 ms-2 ) The value of each charge is (A) 2 mc (B) 2 × 10-7 C (C) 2 nc (D) 2 μ C

Tardigrade Admin · Accepted Answer

F=(1/4 π ε0) (Q2/r2) 10 × 10-3 × 10 =(9 × 109 Q2/(0.6)2) Q2 =((0.6)2 × 10-1/9 × 109) =((0.6)2/(3)2) × 10-10 Q =(0.6/3) × 10-5 =0.2 × 10-5 =2 × 10-6 =2 μ C

Q. Two identical charges repel each other with a force equal to $10 m g wt$ when they are $0.6 m$ apart in air. $(g = 10 m s^{- 2})$ The value of each charge is

2 mc

$2 \times 1 0^{- 7} C$

2 nc

$2 μ C$

Q. Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10ms−2) The value of each charge is

2 mc

2×10−7C

2 nc

2μC

F=4πε0​1​r2Q2​10×10−3×10=(0.6)29×109Q2​Q2=9×109(0.6)2×10−1​=(3)2(0.6)2​×10−10Q=30.6​×10−5=0.2×10−5=2×10−6=2μC

Q. Two identical charges repel each other with a force equal to $10 m g wt$ when they are $0.6 m$ apart in air. $(g = 10 m s^{- 2})$ The value of each charge is

$2 \times 1 0^{- 7} C$

$2 μ C$