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Physics
Physics
Problem
For a solid of constant mass and coefficient of volume expansion
γ
\gamma
γ
, which relation correctly gives its density
ρ
T
\rho_T
ρ
T
at temperature
T
T
T
(in °C) if the density at
0
∘
C
0\,^{\circ}\text{C}
0
∘
C
is
ρ
0
\rho_0
ρ
0
? a)
ρ
T
=
ρ
0
(
1
−
γ
T
)
\rho_T = \rho_0(1-\gamma T)
ρ
T
=
ρ
0
(
1
−
γ
T
)
b)
ρ
T
=
ρ
0
(
1
+
γ
T
)
\rho_T = \rho_0(1+\gamma T)
ρ
T
=
ρ
0
(
1
+
γ
T
)
c)
ρ
T
=
ρ
0
1
+
γ
T
\displaystyle \rho_T = \dfrac{\rho_0}{1+\gamma T}
ρ
T
=
1
+
γ
T
ρ
0
d)
ρ
T
=
ρ
0
1
−
γ
T
\displaystyle \rho_T = \dfrac{\rho_0}{1-\gamma T}
ρ
T
=
1
−
γ
T
ρ
0
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