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A body of weight W is projected vertically upwards from the earth's surface to reach a height above the earth equal to nine times the radius of the earth. The weight of the body at that height will be

Asked in JEE Main 31st Jan 2nd Shift 2023 · Variation with height

• (1) W/(100)
• (2) W/3
• (3) W/(91)
• (4) W/9

Step-by-step solution

Why the other options are wrong

• (2) No step in this problem produces a factor of 3; the height ratio is 9, not √9.
• (3) Looks like 100 with 9 subtracted from it, an arithmetic slip after the squaring is done correctly.
• (4) Takes the distance from the centre as 9R and then forgets to square the ratio.

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