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What is the fractional decrease in the value of free-fall acceleration g for a particle when it is lifted from the surface to an elevation h ? (h lt lt R)

Answer» <html><body><p>`(-h)/(R)`<br/>`(-2h)/(R)`<br/>`(-3h)/(R)`<br/>`(-4h)/(R)`</p>Solution :As, `<a href="https://interviewquestions.tuteehub.com/tag/g-1003017" style="font-weight:bold;" target="_blank" title="Click to know more about G">G</a>=(GM)/(R^(2))<a href="https://interviewquestions.tuteehub.com/tag/rarr-1175461" style="font-weight:bold;" target="_blank" title="Click to know more about RARR">RARR</a>(<a href="https://interviewquestions.tuteehub.com/tag/dg-431744" style="font-weight:bold;" target="_blank" title="Click to know more about DG">DG</a>)/(dR)=(-2GM)/(R^(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>))` <br/> `rArr (dg)/(h)=-(2GM)/(R^(2))=(1)/(h)` <br/> `rArrv (dg)/(g)=-2 ((h)/(R))`</body></html>


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