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Question: The distance between a proton and electron both having a charge\(1.6 \times 10^{- 19}coulomb\), of a...

The distance between a proton and electron both having a charge1.6×1019coulomb1.6 \times 10^{- 19}coulomb, of a hydrogen atom is 1010metre10^{- 10}metre. The value of intensity of electric field produced on electron due to proton will be

A

2.304×1010N/C2.304 \times 10^{- 10}N/C

B

14.4V/m14.4V/m

C

16V/m16V/m

D

1.44×1011N/C1.44 \times 10^{11}N/C

Answer

1.44×1011N/C1.44 \times 10^{11}N/C

Explanation

Solution

E=q4πε0r2=9×109×1.6×1019(1010)2=1.44×1011N/CE = \frac{q}{4\pi\varepsilon_{0}r^{2}} = 9 \times 10^{9} \times \frac{1.6 \times 10^{- 19}}{(10^{- 10})^{2}} = 1.44 \times 10^{11}N/C