In an oil drop experiment , the following charge (in orbitrary units) were found on a series of oil droplets `2.30 xx 10^(-15),6.90 xx 10^(-15) xx 1.38 xx 10^(-14)`
`,5.75 xx 10^(-15), 3.45 xx 10^(-15),,1.96 xx 10^(-14),`
The magnitude of charge on the electron (in the same unit) is

Options

A. `1.15 xx 10^(-15)`
B. `2.30 xx 10^(-15)`
C. `0.575 xx 10^(-15)`
D. `1.69 xx 10^(-14)`

Answer

A

Explanation

The magnitude of the charge be smallest and other charged should be integral multiple of that smallest charges so, in this problem, smallest charge is `2.30 xx 10^(-15)` , but other charged are not integral multiple of this charge
So smaller charge is `1.15 xx 10^(-15)` because other charges are integral multiple of this charge