GATE MT 2022 Paper 1 — page 19

Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.

During solidification of a pure metal, the radius of critical nucleus at an undercooling of 10 K is __________ ×

m (answer rounded off to 1 decimal place).

Given: solid/liquid interface energy = 0.177 J·m⁻²,

melting point of the metal = 1356 K and

latent heat of fusion = 1.88 ×

J·m⁻³

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The concentration

of a solute (in units of atoms·mm⁻³) in a solid along

direction (for

) follows the expression

where

is in mm,

and

are in units of atoms·mm⁻⁵ and atoms·mm⁻⁴, respectively. Assuming

, the magnitude of flux at

mm is _____ ×

atoms·mm⁻²·s⁻¹ (answer rounded off to the nearest integer).

Given: diffusion coefficient of the solute in the solid is 3 ×

mm²·s⁻¹.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Assuming that Dulong-Petit law is valid for a monoatomic solid, the ratio of heat capacities

at 500 K is ______ (round off to 3 decimals).

Given: molar volume = 7×10⁻⁶ m³·mol⁻¹,

isothermal compressibility = 8×10⁻¹² Pa⁻¹,

isobaric expansivity = 6×10⁻⁵ K⁻¹ and

J·K⁻¹·mol⁻¹.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

2022 · Paper 1