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Q.

A copper sphere of mass 2.0 g contains about 2 x 1022 atoms. The charge on the nucleus of each atom is 29e (e = electronic charge). The mass of an electron is 9.11 x 10-31 kg. How much mass will the sphere lose or gain if it is a given a charge of +2 μC?

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a

Loss a mass of 1.13 x 10-14 g

b

Change in mass will depend upon the kinetic energy of the electrons

c

Gain a mass of 1.13 x 10-14g

d

Neither gain nor lose any mass

answer is A.

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Detailed Solution

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To give positive charge to the copper sphere, a certain number of free electrons must be removed.
The total number of electrons is 29(2 x 1022) = 5.8 X 1023
Since a positive charge of 2 μC is to be given, the number of electrons to be removed 2×10-61.6×10-19=1.25×1013
The mass of the electrons removed = 1.25 X 1013 X 0.91 X 10-30 kg

= 1.13 X 10-17 kg = 1.13 X 10-14 gm
This mass will be lost by the copper sphere.

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