If a solid has 4 × 1020 atoms per kilogram of mass, and one electron is removed from each atom, what will be the charge obtained by 1 gram of the solid?

Physics
If a solid has 4 × 1020 atoms per kilogram of mass, and one electron is removed from each atom, what will be the charge obtained by 1 gram of the solid?

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Answer

64 C

Step 1: Number of atoms in 1 kg of dry human hair, N=4×1020N = 4 \times 10^{20}.

Step 2: Charge of one electron, e=1.6×10−19 Ce = 1.6 \times 10^{-19} \, \mathrm{C}.

Step 3: Total charge released, Q=N×eQ = N \times e.

Substitute the values:

Q=(4×1020)×(1.6×10−19) CQ = (4 \times 10^{20}) \times (1.6 \times 10^{-19}) \, C

Multiply the coefficients and add the powers of 10:

Q=(4×1.6)×1020+(−19) C=6.4×101 CQ = (4 \times 1.6) \times 10^{20 + (-19)} \, C = 6.4 \times 10^{1} \, C

Simplify:

Q=64 CQ = 64 \, C

The correct option is (b).

64 C

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Quick Answer

Number of atoms in 1 kg of dry human hair, N = 4 × 10^20. Step 2: Charge of one electron, e = 1.6 × 10^-19 \, C.

If a solid has 4 × 1020 atoms per kilogram of mass, and one electron is removed from each atom, what will be the charge obtained by 1 gram of the solid?
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Number of atoms in 1 kg of dry human hair, N = 4 × 10^20. Step 2: Charge of one electron, e = 1.6 × 10^-19 \, C. Step 3: Total charge released, Q = N × e. Substitute the values: Q = (4 × 10^20) × (1.6 × 10^-19) \, C Multiply the coefficients and add the powers of 10: Q = (4 × 1.6) × 10^20 + (-19) \, C = 6.4 × 10^1 \, C Simplify: Q = 64 \, C The correct option is (b). 64 C