In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius 0.53× 10-10 m . Then the electrical potential produced by nucleus at the position of the elect is

Question

In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius 0.53× 10-10 m . Then the electrical potential produced by nucleus at the position of the elect is (A) -13.6 V (B) -27.2 V (C) 27.2 V (D) 13.6 V

Tardigrade Admin · Accepted Answer

Using the formula V=(1/4 π ε0) (Z e/r) (for hydrogen nuclear Z=1 e=1.6 × 10-19 C r=0.53 × 10-10 m) =(9 × 109 × 1.6 × 10-19 × 1/0.53 × 10-10) =27.2 V

Q. In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius $0.53 \times 1 0^{- 10} m$ . Then the electrical potential produced by nucleus at the position of the elect is

-13.6 V

-27.2 V

27.2 V

13.6 V

Using the formula
$V = \frac{1}{4 π ε _{0}} \frac{Z e}{r}$
(for hydrogen nuclear $Z = 1$
$e = 1.6 \times 1 0^{- 19} C$
$r = 0.53 \times 1 0^{- 10} m$ )
$= \frac{9 \times 1 0 ^{9} \times 1.6 \times 1 0 ^{- 19} \times 1}{0.53 \times 1 0 ^{- 10}}$
$= 27.2 V$

Q. In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius 0.53×10−10m . Then the electrical potential produced by nucleus at the position of the elect is