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GATE Physics 2016 Paper
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© examsnet.com
Question : 55
Total: 65
The Fermi energies of two metals
X
and
Y
are 5 eV and 7 eV and their Debye temperatures are 170 K and 340 K, respectively. The molar specific heats of these metals at constant volume at low temperatures can be written as
(
C
v
)
x
=
γ
X
T
+
A
X
T
3
and
(
c
v
)
γ
=
γ
γ
T
+
A
γ
T
3
, where
γ
and A are constants. Assuming that the thermal effective mass of the electrons in the two metals are same, which of the following is correct?
γ
X
γ
Y
=
7
5
,
A
x
A
y
=
8
γ
X
γ
Y
=
7
5
,
A
x
A
y
=
1
8
γ
X
γ
Y
=
5
7
,
A
x
A
y
=
1
8
γ
X
γ
Y
=
5
7
,
A
x
A
y
=
8
Validate
Solution:
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