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Q.

If the mass of the planet is 10% less than that of earth and radius of the planet is 20% greater than that of earth then the weight of 40kg person on that planet is

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a

10 kg wt

b

25 kg wt

c

40 kg wt

d

60 kg wt

answer is B.

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Detailed Solution

Radius increased by 20%=RP=Re+20%Re==Re+20100Re=Re+0.2Re=1.2Re Mass decreased by 10%=MP=Me-10%Me==Me-10100Me=Me-0.1Me=0.9Me g=GMR2⇒gαMR2 ⇒gPge=MPMeReRP2=0.9MeMeRe1.2Re2=0.91.44=0.625 ⇒gP=0.625ge ⇒WP=0.625mge⇒WP=0.625×40ge=25kgwt

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