Rankers Physics

Properties of Charges: Practice Problem & Solution

If a body has a charge of /(10^{-12}\) coulomb :
the body has \(6.25\times 10^{6} \)excess of electrons
the body has \( 625\times 10^{6}\) excess of electrons
the body has \(6.25\times 10^{6}\) deficiency of electrons
the body has \(6.25\times 10^{3} \)deficiency of electrons

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Properties of Charges. Understanding the underlying formula is key to arriving at the correct answer below:

To determine the deficiency of electrons for a body with a charge of

10−12 C10^{-12} \, \text{C}

, follow these steps:

  1. Charge of a single electron: The charge of one electron is
    e=1.6×10−19 Ce = 1.6 \times 10^{-19} \, \text{C}
     

    .

  2. Number of electrons (deficiency): The total number of electrons causing the charge is given by: 

    n=Total chargeCharge of one electron=10−121.6×10−19=6.25×106.n = \frac{\text{Total charge}}{\text{Charge of one electron}} = \frac{10^{-12}}{1.6 \times 10^{-19}} = 6.25 \times 10^{6}. 

  3. Interpretation: Since the body is positively charged, it has a deficiency of
    6.25×1066.25 \times 10^6
     

    electrons.

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