Applied Engineering Physics 2014 Question Paper — Government College…
The 2014 Applied Engineering Physics previous year question paper (Government College of Engineering and Technology, Jammu), with every question and its marks.
- University: Government College of Engineering and Technology, Jammu
- Subject: Applied Engineering Physics
- Course: Engineering Physics - 1
- Year: 2014
- Paper: end-term
- Duration: 180 minutes
- Total marks: 100
Instructions
- Candidate have to attempt total five questions by selecting at least two from each section.
- Each question carries 20 marks, as shown against each question.
- Use of calculator is allowed.
- Try to attempt all the parts of question consecutively.
Questions
SECTION - A
- Q1. (a) State and prove Stokes Theorem. (b) Given a vector $\vec{r} = x\hat{i} + y\hat{j} + z\hat{k}$. Prove that $\iint_S \vec{r} \cdot d\vec{S} = 3V$, where V is the volume enclosed by surface S. [20 marks]
- Q2. (a) What is curl of a vector field? Give its significance. Show that curl of gradient of V is zero. (b) Determine the constant 'a' so that vector field $\vec{A} = x^2\hat{i} + (y-2xy)\hat{j} + (x+az)\hat{k}$ is solenoidal. [20 marks]
- Q3. (a) Obtain the wave equations for an electromagnetic wave in free space. Prove that the velocity of em wave in a medium of magnetic permeability $\mu$ and electric permittivity $\varepsilon$ and conductivity $\sigma = 0$ is given by : $c = \frac{1}{\sqrt{\mu\varepsilon}}$ (b) Define Poynting vector. What does it measures? Illustrate. [20 marks]
- Q4. (a) State and prove Ampere's circuital law using Ampere's circuital law find magnetic field intensity at a point due to long solenoid. (b) Electric field in a certain region of space is $(3\hat{i} + 5\hat{j} - 8\hat{k}) \times 10^4 \text{ N/C}$. Find the electric flux through an area $(4\hat{i} + 3\hat{j}) \times 10^{-3} \text{ m}^2$. [20 marks]
- Q5. (a) Distinguish between single mode and multimode optical fibres. Define and find expression for Numerical aperture of step index optical fibre. (b) Discuss construction and working of He-Ne laser. Why He is mixed with neon in He-Ne laser? Why optical pumping can not be used in gas lasers? [20 marks]
- Q6. (a) Define Ultrasonic waves and discuss their production by piezo-electric generator. Discuss the properties of ultrasonic waves. (b) Calculate the thickness of a Quarter Wave plate for light of wavelength $5893\text{A}^\circ$. The refractive index for Ordinary ray is 1.544 and for extra ordinary ray is 1.553. [20 marks]
- Q7. (a) Distinguish between free and damped oscillations. Set up a differential equation of motion for damped harmonic oscillator. Deduce general expression for displacement of oscillator. (b) In a ruby laser, total number of $\text{Cr} + 3$ ions in excited state are $2.8 \times 10^9$. If the laser emits radiation of wavelength of $7000\text{A}^\circ$, calculate the energy of laser pulse. [20 marks]
- Q8. (a) Discuss the phenomena of Fraunhofer diffraction at a single slit and find that the relative intensities of the successive maximum. (b) What are plane circularly and elliptically polarized light explain their production and detection. [20 marks]
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