ample:
Two equal masses m and m are hung from a balance whose scale pans differ in vertical height by 'h'. Determine
the error in weighing in terms of density of the Earth p.
lution
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Force on pans
1⇒Mg
h
2⇒Mg
∴Error in measurement
=mg−mg
h
- =mg−mg(1−
R
- 2h
)
=
R
2mgh
=
R
2mh
−
R
2
GM
=
R
3
2mh
.G.ρ.v
=
R
3
2mh
.G.
3
4
πR
3
ρ=
3
8
mρhπG
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