Complete GATE XE 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 61–63 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 21 of 59

Question 61

Open question
XE-CNAT2 marksNeeds review
The Young’s modulus of a quartz piezoelectric crystal is 100 GPa. The uniaxial stress required to change its polarization by 1% is (give absolute value in GPa) ________ (rounded off to nearest integer)

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Question 62

Open question
XE-CNAT2 marksNeeds review
A one-dimensional nanowire has a linear electron density of

. The Fermi energy of the system is (in eV) ______ (rounded off to two decimal places)
Given:

where ‘m’ is the mass of an electron

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Question 63

Open question
XE-CNAT2 marksNeeds review
Two moles of a monoatomic ideal gas at 10 atm and 300 K is expanded isothermally and reversibly to a pressure of 2 atm. The absolute value of work done by the system is (in kJ) __________ (rounded off to two decimal places)
Given: R = 8.31 J mol⁻¹ K⁻¹, 1 atm = 101 kPa

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