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Can a body have a charge of (a) 0.32 × 10 –18 C (b) 0.64 × 10 –20 C (c) 4.8 × 10 –21 C

Question

Can a body have a charge of

(a) 0.32 × 10<sup>-18</sup> C
(b) 0.64 × 10<sup>-20</sup> C
(c) 4.8 × 10<sup>-21</sup> C

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Solution

The charge of a body is quantized, meaning it can only have certain specific values. This is because charge is carried by electrons, and each electron carries a specific amount of charge. The charge of an electron is approximately 1.6 × 10^-19 C.

(a) 0.32 × 10^-18 C: This is equal to 2 times the charge of an electron (since 0.32 × 10^-18 C is 2 × 1.6 × 10^-19 C). So, a body can have this charge.

(b) 0.64 × 10^-20 C: This is equal to 0.4 times the charge of an electron (since 0.64 × 10^-20 C is 0.4 × 1.6 × 10^-19 C). Since charge is quantized and can only be an integer multiple of the charge of an electron, a body cannot have this charge.

(c) 4.8 × 10^-21 C: This is equal to 0.03 times the charge of an electron (since 4.8 × 10^-21 C is 0.03 × 1.6 × 10^-19 C). Again, since charge is quantized and can only be an integer multiple of the charge of an electron, a body cannot have this charge.

This problem has been solved

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