GATE PH 2026 Paper 1 — page 11

Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.

Consider a metal-superconductor junction connected to a dc voltage

. At

, where

is the superconductor’s transition temperature, the current

versus

behavior of this junction is shown schematically in the figure below. If the superconducting energy gap is

meV. The value of

(rounded off to one decimal place) is ____

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For the energy dispersion of an electron in a one-dimensional solid

, the ratio of the effective mass of the electron in the solid to the free electron mass (

) at

. Taking

and

, the value of

(rounded off to two decimal place) is ____

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The specific heat

of one mole of a material as a function of temperature

is given as

, where

and

. When

is changed from 1 K to 10 K at constant pressure, then the change in entropy

(rounded off to one decimal place) is ____

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2026 · Paper 1