Gujarat Technological UniversitySummer 2025 examination

GTU BE01000021 Physics Summer 2025 Question Paper & PDF

B.E. · Common Engineering · Semesters 1 and 2 · Subject code BE01000021
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks

Transition temperature of mercury of mass number 202 is 4.20 K. Find the transition temperature of isotope of mercury of mass number 204.

(b)
4 marks
Define:
i)Interference of light,
ii)Diffraction of light,
iii)Fresnel diffraction. Also state Huygens’ principle.
(c)
7 marks
iDefine nanomaterials and explain ball milling technique of synthesis of nanomaterials with suitable diagram.
c(ii) Write any four differences between n-type and p-type semiconductors.

Q.2

14 Marks
(a)
3 marks

What is de-Broglie wave? Write the equation of de-Broglie wavelength and mention the names of each quantity involved in the equation.

(b)
4 marks

Find the force required to increase the length of a wire of 10⁻⁶ m² area of cross-section by 50 % whose Young’s modulus is 2×10¹¹ N/m².

(c)
7 marks

Explain torsional pendulum in brief with suitable diagram and derive the equation of twisting couple per unit twist of a wire.

(c)
7 marks
Explain:
i)Elastic hysteresis,
ii)Elastic after-effect, and
iii)Elastic fatigue.

Q.3

14 Marks
(a)
3 marks
Define:
i)Transverse waves,
ii)Ultrasonic waves, and
iii)Damped oscillations.
(b)
4 marks

The volume of a room is 1500 m³. The wall area of the room is 250 m², the floor and the ceiling area is 150 m² each. The average sound absorption coefficient for the wall, floor and the ceiling are 0.25, 0.06 and 0.80, respectively. Calculate the average absorption coefficient and the reverberation time.

(c)
7 marks

Derive the differential equation of simple harmonic motion, also write its general solution and obtain the equation of velocity and acceleration of simple harmonic oscillator.

(a)
3 marks
Define:
i)Reverberation,
ii)Echo, and
iii)Echelon effect.
(b)
4 marks

A particle of mass 0.50 kg executes a simple harmonic motion. If it crosses the centre of oscillation with a speed of 10 m/s, find the amplitude of the motion. (force constant k = 50 N/m)

(c)
7 marks

Explain the construction and working of piezoelectric method of ultrasonic wave production with suitable diagram.

Q.4

14 Marks
(a)
3 marks

In a Young’s double slit experiment, the two slits which are 0.5 mm apart are illuminated by the yellow light of wavelength 589.0 nm. Calculate the distance between two consecutive bright bands in the interference pattern observed on a screen 2 m away from the slits.

(b)
4 marks

Write Schrodinger’s time independent wave equation and explain its each term. Also write Heisenberg’s uncertainty principle in terms of position and momentum.

(c)
7 marks

Explain the formation of Newton’s rings with suitable diagram and derive the equation of radius of bright and dark rings produced by the interference of reflected light.

(a)
3 marks
Calculate de-Broglie wavelength associated with
i)A man of 50 kg mass walking with the speed of 2 m/s, and
ii)An electron moving with the speed of 3×10⁵ m/s. Based on your answers obtained in above two cases, explain why the wave nature of the man can’t be observed. (h = 6.63×10- 34 J·s, electron mass = 9.11×10⁻³¹ kg)
(b)
4 marks

Define constructive and destructive interference with their condition in terms of path difference.

(c)
7 marks
Write a short-note on scanning tunneling microscope.

Q.5

14 Marks
(a)
3 marks

In He-Ne gas laser, Ne atoms emit laser photons of wavelength 632.8 nm while electrons make transitions from E3 state to E2 state. Find the energy difference between these two states. (h = 6.63×10⁻³⁴ J·s and c = 3×10⁸ m/s)

(b)
4 marks
Write the properties of laser and explain in brief.
(c)
7 marks
Write the full form of laser and explain
i)Absorption,
ii)Spontaneous emission, and
iii)Stimulated emission with suitable diagrams.
(a)
3 marks

A ruby laser emits light of wavelength 694.3 nm. Calculate the frequency and the energy of the laser photons emitted. (h = 6.63×10⁻³⁴ J·s and c = 3×10⁸ m/s)

(b)
4 marks

What is population inversion (draw suitable diagram)? Explain why it is necessary for the production of laser?

(c)
7 marks
Obtain the relation between Einstein’s coefficients.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Physics (Summer 2025, 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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