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7. gravitation — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics7. gravitation1 Mark
MCQ
The earth (mass $ = 6 \times {10^{24}}\,kg)$) revolves round the sun with angular velocity $2 \times {10^{ - 7}}\,rad/s$ in a circular orbit of radius $1.5 \times {10^8}\,km$. The force exerted by the sun on the earth in newtons, is
  • A
    $18 \times {10^{25}}$
  • B
    Zero
  • C
    $27 \times {10^{39}}$
  • ✓
    $36 \times {10^{21}}$
✓

Answer

Correct option: D.
$36 \times {10^{21}}$
d
(d) $m = 6 \times {10^{24}}kg,$  $\omega = 2 \times {10^{ - 7}}rad/s,$ $R = 1.5 \times {10^{11}}m$ 

The force exerted by the sun on the earth $F = m{\omega ^2}R$ 

By substituting the value we can get, $F = 36 \times {10^{21}}N$

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