At what height above the Earth's surface is the acceleration due to gravity 1% less than its value at the surface. Radius of Earth is 6400 km. (Take (1 + x) = 1 - 2r when x

At what height above the Earth's surface is the acceleration due to gr

1.	At what height above the Earth's surface is the acceleration due to gravity 1% less than its value at the surface. Radius of Earth is 6400 km. (Take (1 + x) = 1 - 2r when x
Answer» <html><body><p>Decrease by <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>% <a href="https://interviewquestions.tuteehub.com/tag/implies-1037962" style="font-weight:bold;" target="_blank" title="Click to know more about IMPLIES">IMPLIES</a> that <a href="https://interviewquestions.tuteehub.com/tag/g-1003017" style="font-weight:bold;" target="_blank" title="Click to know more about G">G</a>’ = 99/100g</p><p></p><p>Substitute In 1,we get</p><p></p><p>99/100g = g (1 - 2h/R)</p><p></p><p>99/100 = 1 - 2h/R</p><p></p><p>2h/R = 1 - 99/100</p><p></p><p>2h/R = 1/100</p><p></p><p>h = R/200</p><p></p><p>h = 6400/200 (R = 6400KM)</p><p></p><p>H = 32KM From <a href="https://interviewquestions.tuteehub.com/tag/surface-1235573" style="font-weight:bold;" target="_blank" title="Click to know more about SURFACE">SURFACE</a> of earth</p></body></html>