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PhysicsGravitationField & ForceHard2 minPYQ_2018
PhysicsHardsingle choice

Take the mean distance of the moon and the sun from the earth to be0.4×106 kmand150×106 km, respectively. Their masses are 8×1022kgand2×1030kg, respectively. The radius of the earth is6400 km. LetΔF1be the difference in the forces exerted by the moon at the nearest and farthest point on the earth, andΔF2be the difference in the forces exerted by the sun at the nearest and farthest points on the earth. Then, the number closest toΔF1ΔF2is,

Options:

Answer:
C
Solution:

F1=GMemr13,F2=GMeMsr22 

ΔF1= (-)2GMemr13 Δr1 , ΔF2=(-)2GMeMsr22 Δr2

ΔF1ΔF2= mΔr1r13 r23MsΔr2=mMsr23r13Δr1Δr2

UsingΔr1=Δr2=2Rearth

m=8×1022 kg

Ms= 2×1030 kg

r1=0.4×106 km

r2=150×106 km

We getΔF1ΔF2=2.

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Field & Force
2mℹ️ Source: PYQ_2018

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