Final answer:
The correct answer is (D) 11.38x10^-19 kg.
When a piece of polythene is rubbed with wool, a charge of -2x10^-7C is developed on the polythene. To find the mass transferred to the polythene, we can use the equation Q = ne. Rearranging the equation and plugging in the values, we find that the mass transferred to the polythene is approximately 1.14x10^-18 kg.
Step-by-step explanation:
When a piece of polythene is rubbed with wool, electrons are transferred from the wool to the polythene, resulting in a negative charge on the polythene.
The charge developed on the polythene is -2x10^-7 C. To find the mass transferred to the polythene, we can use the equation Q = ne, where Q is the charge, n is the number of electrons transferred, and e is the charge of one electron, which is -1.6x10^-19 C.
Rearranging the equation, we have n = Q/e.
Plugging in the values, we get n = -2x10^-7 C / -1.6x10^-19 C
= 1.25x10^12 electrons.
The mass transferred can be calculated using the equation m = n x me, where n is the number of electrons transferred and me is the mass of one electron, which is 9.109x10^-31 kg.
Plugging in the values, we get m = 1.25x10^12 x 9.109x10^-31 kg = 1.1386x10^-18 kg.
Rounding to the appropriate significant figures, the mass transferred to the polythene is approximately 1.14x10^-18 kg. Therefore, the correct answer is (D) 11.38x10^-19 kg.