Gujarat Technological UniversitySummer 2026 Examination

GTU 3110018 Physics Summer 2026 Paper Solution & PDF

B.E. · Common Engineering · Semester 1 · Subject Code: 3110018
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Total Marks70 MarksExternal theory exam
Passing Marks23 Marks33% minimum cutoff
Exam Duration2.5 Hours10:30 AM – 1:00 PM
Paper Structure5 QuestionsWith internal OR choices
Jump toQ1Q2Q3Q4Q5

Question 1

14 MarksMedium
(a)
State the assumptions of classical free electron theory.
3 Marks
(b)

For a given intrinsic semiconductor with energy gap Eg = 0.44 eV, calculate the position of Fermi Level at 300 K. (Where m = me* = m0 which is rest mass of an Electron).

4 Marks
(c)
What is superconductivity? Explain any six properties of superconductor.
7 Marks

Question 2

14 MarksMedium
(a)

Explain the light material interaction in terms of absorption, spontaneous emission and stimulated emission in semiconductors with proper diagrams.

3 Marks
(b)

Calculate

ithe value of band gap for a LED for the emission of blue light of wavelength 452 nm.
iithe value of wavelength for LED having band gap 2.0 eV. (h = 6.63x10‒34 Js, c = 3x108 m/s)
4 Marks
(c)

Define resistivity and explain four point probe method with diagram for the measurement of resistivity of bulk sample.

7 Marks
OR OPTION
(c)

What is deep level in band theory? Describe the experimental procedure for DLTS method to study deep levels.

7 Marks

Question 3

14 MarksMedium
(a)
Define :(i) Forbidden Gap (ii)Fermi Function, (iii) Density of states
3 Marks
(b)

A sample of pure Si at room temperature has a carrier concentration of

15x 1016 /m3. A donor impurity is added at ration 1/108 to the silicon atoms. If the Si has atomic density 5x1028 atoms/ m3, determined the resistivity of the sample. ( Given μe = 0.135 m2/V.s and μh = 0.048 m2/
Vs)
4 Marks
(c)

What is E-k diagram? Discuss direct and indirect band gap semiconductors based on E-k diagram.

7 Marks
OR OPTION
(a)
Write a short note on P-N junction diode
3 Marks
(b)

At what temperature, we can expect a 10% probability that electrons in metal have an energy, which is 1% above the Fermi energy? Fermi energy if the metal is 5.67 eV.

4 Marks
(c)

Explain the Kronig-Penny model of solids and show that how it explains the origin of band gap in solids.

7 Marks

Question 4

14 MarksMedium
(a)

Describe the hot probe method to identify the type of semiconductor (for 03 N-type semiconductor)

3 Marks
(b)

Calculate the critical current for wire of metal alloy having diameter 1mm at 4.5 K. (Given Critical temperature for alloy is 9.0 K and Hc(0) = 6.5x 104 Am-1)

4 Marks
(c)

What is photovoltaic effect? Explain construction and working of solar cell in detail.

7 Marks
OR OPTION
(a)
Write the assumptions of four probe method.
3 Marks
(b)

In the Hall probe measurement, current of 300 mA is sent through a sample having length 10mm, width 5mm and height 0.2mm. The Hall voltage observed to be 150μV, when sample was exposed with 2000 gauss field perpendicularly. Calculate carrier concentration and drift velocity of the carrier in the sample.

4 Marks
(c)

What is light gain? Explain the Einstein’s theory about interaction between matter and radiation in detail along with absorption and emission with necessary equation.

7 Marks

Question 5

14 MarksMedium
(a)

State any three points of differences between intrinsic and extrinsic semiconductors.

3 Marks
(b)

For a metal sample, Density = 16.6x103 kgm-3, Resistivity= 50 μΩ.cm and Atomic weight = 180.95, then calculate the mobility and the average collision time for metal through classical theory.

4 Marks
(c)

Explain Meissener’s effect in detail and show that for superconductor, χm = –1

7 Marks
OR OPTION
(a)

State any three points of differences between Ohmic junction and Schottky junction.

3 Marks
(b)

Calculate

iSi wafer has been doped with donor atoms uniformly. The concentration of donor is 2.9 x1015 atoms/ cm3. Calculate the Fermi energy with respect to the pure silicon. (ni = 1.45 x1010 atoms/cm3)
iiElectron mobility in pure Si is 50 m2/ V.s at 4.5 K, what will be the mobility at 300K?
4 Marks
(c)

Discuss BCS theory of superconductivity in brief. (ii) Draw constructive diagram of SQUID and mention its application.

7 Marks
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About this Examination Paper & Attribution

Official Gujarat Technological University (GTU) examination paper and step-by-step solutions for Physics (Summer 2026, B.E. · Common Engineering, Sem 1). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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