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At what depth below the surface of the earth acceleration due to gravity will be half its value at 1600 km above the surface of the earth ?A. `4.3 xx 10^(6)` mB. `2.4 xx 10^(6)` mC. `3.2 xx 10^(6)` mD. `1.6 xx 10^(6)` m |
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Answer» Correct Answer - A Given, `g=(1-(d)/(R))=(1)/(2)(g)/((1+(h)/(R))^(2))` or `1-(d)/(R)=(1)/(2(1+(1600)/(6400))^(2))=(16)/(50)rArr(d)/(R)=(34)/(50)` `:. d=(6.4xx10^(6)m)((34)/(50))=4.352 xx10^(6)m` |
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