The Fermi energies of two metals X and Y are 5 eV and 7eV and their Debye temperatures are 170 K and 340 K , respectively. The molar specific heats of these metals volume low temperatures be written at constant at can as (C, )x =r xT + A,T³ and (C, ), =ryT+ A,T³ where y 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? Yx 1 Ax Yx 1 Ax 1 (b) Y Y 8 (a) Y Y %3D = - 5' Ay 5' Ay 5 Ax =8 7’ A, Yx 5 Ax 1 (c) Y Y (d) YY %3D 7' Ay 8

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The Fermi energies of two metals X and Y are 5 eV and 7eV and their Debye
temperatures are 170 K and 340 K , respectively. The molar specific heats of these
metals
volume
at
low
temperatures
be
written
as
at
constant
can
(C, )x =rxT + AxT' and (C, ), =7yT+ A,T³ where y 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?
7 Ax
= 8
(b)
Y x
7 Ax
1
(a)
= -
= -
5'Ay
5' A,
8.
Y
Y x
5 Аx
1
Y x
5 Аx
(c)
(d)
= 8
= -
7' Ay
7' Ay
8.
II
II
Transcribed Image Text:The Fermi energies of two metals X and Y are 5 eV and 7eV and their Debye temperatures are 170 K and 340 K , respectively. The molar specific heats of these metals volume at low temperatures be written as at constant can (C, )x =rxT + AxT' and (C, ), =7yT+ A,T³ where y 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? 7 Ax = 8 (b) Y x 7 Ax 1 (a) = - = - 5'Ay 5' A, 8. Y Y x 5 Аx 1 Y x 5 Аx (c) (d) = 8 = - 7' Ay 7' Ay 8. II II
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