F_g and F_e represents gravitational and electrostatic force resp… - Vidyadip

MCQ

${F_g}$ and ${F_e}$ represents gravitational and electrostatic force respectively between electrons situated at a distance $10\, cm$. The ratio of ${F_g}/{F_e}$ is of the order of

A
${10^{42}}$
B
$10$
C
$1$
✓
${10^{ - 43}}$

✓

Answer

Correct option: D.

${10^{ - 43}}$

d
(d) Gravitational force between electrons ${F_G} = \frac{{G{{({m_e})}^2}}}{{{r^2}}}$
Electrostatics force between electrons ${F_e} = k.\frac{{{e^2}}}{{{r^2}}}$
$\frac{{{F_G}}}{{{F_e}}} = \frac{{G{{({m_e})}^2}}}{{k.{e^2}}} = \frac{{6.67 \times {{10}^{ - 11}} \times {{(9.1 \times {{10}^{ - 31}})}^2}}}{{9 \times {{10}^9} \times {{(1.6 \times {{10}^{ - 19}})}^2}}}$$ = 2.39 \times {10^{ - 43}}$

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