6. (a) (i) Using Millikan's oil drop experiment to determine the charge of an electron, show how the radius of an oil drop can be determined, given that all other parameters are known. [6 marks]

Millikan's oil drop experiment determined the charge of an electron using electric and gravitational forces. The radius of an oil drop can be found using specific formulas.

Explanation:

Millikan's oil drop experiment was pivotal in determining the charge of an electron. By balancing the gravitational force on an oil drop with an electric force, Millikan could calculate the charge. The radius of an oil drop can be determined using the formula:

r = sqrt((9ηv)/(2gρ))

where r is the radius, η is the viscosity of air, v is the velocity of oil drop, g is acceleration due to gravity, and ρ is the density of oil.

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