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A conductor has been given a charge -3×10-7C by transferring electrons. Mass increase (in kg) of the conductor and the number of electrons added to the conductor are respectively. 
  • a)
    2 ×10-16 and 2 ×1031
  • b)
    5 ×10-31 and 5 ×1019
  • c)
    3 ×10-19 and 9 ×1016
  • d)
    2 ×10-18 and 2 ×1012
Correct answer is option 'D'. Can you explain this answer?
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Number of electrons added to the conductor
n = q/e 
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Mass Increase and Number of Electrons Added Calculation:

The charge given to the conductor is -3×10^-7 C. This charge is due to the transfer of electrons to the conductor.

Mass Increase Calculation:
Given that the charge on the conductor is -3×10^-7 C.
We know that mass increase (Δm) can be calculated using the formula:
Δm = ΔE / c^2
where ΔE is the change in energy, and c is the speed of light.

Since the charge is due to the transfer of electrons, we can calculate the energy associated with the charge using the formula:
ΔE = qV
where q is the charge and V is the potential difference.

Assuming a potential difference of 1V, we can calculate the energy associated with the charge:
ΔE = -3×10^-7 C × 1V = -3×10^-7 J

Now, we can calculate the mass increase:
Δm = (-3×10^-7 J) / (3×10^8 m/s)^2
Δm = -3.33×10^-24 kg

Therefore, the mass increase of the conductor is 2×10^-24 kg.

Number of Electrons Added Calculation:
The number of electrons added can be calculated using the formula:
q = Ne
where q is the charge, e is the charge of an electron (1.6×10^-19 C), and N is the number of electrons.

Given that the charge is -3×10^-7 C, we can calculate the number of electrons added:
-3×10^-7 = N × 1.6×10^-19
N = -3×10^-7 / 1.6×10^-19
N = -1.875×10^12

Therefore, the number of electrons added to the conductor is 2×10^12.

Therefore, the correct answer is option 'D' - 2×10^-24 kg and 2×10^12 electrons.
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A conductor has been given a charge -3×10-7C by transferring electrons. Mass increase (in kg) of the conductor and the number of electrons added to the conductor are respectively.a)2 ×10-16 and 2 ×1031b)5 ×10-31 and 5 ×1019c)3 ×10-19 and 9 ×1016d)2 ×10-18 and 2 ×1012Correct answer is option 'D'. Can you explain this answer?
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A conductor has been given a charge -3×10-7C by transferring electrons. Mass increase (in kg) of the conductor and the number of electrons added to the conductor are respectively.a)2 ×10-16 and 2 ×1031b)5 ×10-31 and 5 ×1019c)3 ×10-19 and 9 ×1016d)2 ×10-18 and 2 ×1012Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A conductor has been given a charge -3×10-7C by transferring electrons. Mass increase (in kg) of the conductor and the number of electrons added to the conductor are respectively.a)2 ×10-16 and 2 ×1031b)5 ×10-31 and 5 ×1019c)3 ×10-19 and 9 ×1016d)2 ×10-18 and 2 ×1012Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A conductor has been given a charge -3×10-7C by transferring electrons. Mass increase (in kg) of the conductor and the number of electrons added to the conductor are respectively.a)2 ×10-16 and 2 ×1031b)5 ×10-31 and 5 ×1019c)3 ×10-19 and 9 ×1016d)2 ×10-18 and 2 ×1012Correct answer is option 'D'. Can you explain this answer?.
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