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Byju's Answer
Standard IX
Physics
Relative Density
If volume of ...
Question
If volume of a steel ball is halved and its mass remains constant, its relative density will be:
A
same
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B
doubled
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C
halved
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D
can't be determined
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Solution
The correct option is
A
doubled
Relative density of steel ball is given by
r
=
ρ
s
ρ
w
=
m
V
ρ
w
where,
ρ
s
is the density of ball and
ρ
w
is the density of water
⟹
r
∝
1
V
(
∵
m
=
c
o
n
s
t
a
n
t
)
Hence, relative density is inversely proportional to the volume of the ball.
Thus relative density is doubled when the volume of steel ball is halved.
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