MTUAssign LSA

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Semester

Assignment NO: 1 Unit – I & II – Introduction:

1. What is Compton Effect? Prove that Compton Shift, Δλ = (h/moc )(1-cosθ);

Where θ is scattering angle

2. X- rays of 1.0Å are scattered from a carbon block. Find the wavelength of the

scattered beam in the direction making 90o_{with the incident beam. How much}

kinetic energy is imparted to the recoiling electron? [h= 6063x 10-34_{Js, c= 3x10}8 m/s, 1 eV= 1.6x10-19_J]

3. What are matter waves? Discuss the Davisson & Germer experiment. 4. What is the energy of the gamma ray having a wavelength of 1.0Å?

5. Give the statement of Uncertainity Principle. Discuss its significance & Inportance.

6. Calculate the Uncetainity in the momentum of a particle when its position is determined within 0.01 cm. Also find the uncertainity in the velocity of an electron & α-particle respectively when they are located within 5x10-8_cm. [me=9.0x 10-31kg,mp=1.67x 10-27 kg]

7. Derive Schrodinger Time Independent & Time Dependent wave equations.

8. What do you mean by particle in a box? Show that the energy of electron in the box varies as the square of the natural number.

9. What do you understand by an optical resonant cavity?Explain the types of cavities. What is Laser gain? Explain.

10. Discuss Spatial and Temporal coherence.

11. Active Medium Gain in Laser is 1.05. Length of the laser is30 cm. The loss coefficient is 1.34 x 10-4_cm-1_{. The reflection coefficient of the mirrors are 0.999} & 0.95 respectively. Calculate---

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Semester

Assignment NO: 2 Unit- III & IV- Lasers & Laser Systems:

1. Expalin the Main Components of laser.

2. What do you understand by Contineous Wave (CW) & Pulsed Lasers?

3. What are different types of Lasers?

4. Explain He-Ne Laser.

5. Explain Nd-YAG Laser.

6. What do you understand by short pulse generation and measurement; discuss with examples.

7. Explain Principle of Laser.

8. Discuss Three & Four Level Lasers. 9. Explain Ar+_{ion Laser.}

10. Explain Ruby Laser.

11. Explain Liquid Dye Lasers.

12. Explain He-Ne Laser, How it is better than Ruby Laser?

13. In He-Ne laser, fringes remained clearly visible when the path difference was increased upto 8 m. Deduce the lower limit for

(i) Coherence Length (ii) Coherence Time (iii) Spectral half

width end or line width (iv) Q-factor of line given by wavelength, λ= 11.5 x 10-7

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Semester

Assignment NO: 3 Unit- V- Applications:

1. Explain CO2 Laser OR Excimer Laser.

2. Explain Laser application in Material Processing; especially in Laser Hardening. 3. Explain Laser Application in Ophthalmology and in Infertility.

4. What are Military Applications of Laser? 5. Explain the types of Holograms.

6. What do you know by electron seeding? Explain Excimer laser. What is Exciplexes?

7. Explain laser application in Material Processing (Cutting, Drilling, Hardening etc.) Prove that the intensity at the focused region is I = Pr2_/лλ2_ƒ2_{; Where, P is the} Power, r is the radius of the beam, λ is the wavelength of the laser light and ƒis thefocal length of the lens.

8. Explain mechanism of production of Laser. 9. Discuss the important characteristics of Laser? 10. Discuss colour Holograms

11. What are military applications of laser?

12. What do you know by electron seeding? Explain CO2 laser of all types. 13. What is LIDAR . Discuss its application.

14. How lasers are used in communication discuss in detail. 15. How Laser helps the Blind person?

16. Discuss the following : (i)- LIDAR

(ii) Laser in Metrology

(iii) How Laser will help a blind person. (iv) Laser in Angioplasty

(v) Laser in Dermatology

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Semester

Tutorial Sheet NO: 1 Unit – I & II – Introduction:

1. What is Compton Effect? Prove that Compton Shift, Δλ = (h/moc )(1-cosθ)

2. X- rays of 1.0Å are scattered from a carbon block. Find the wavelength of the

scattered beam in the direction making 90o_{with the incident beam. How much kinetic} energy is imparted to the recoiling electron? [h= 6063x 10-34_{Js, c= 3x10}8_{m/s, 1 eV=} 1.6x10-19_J]

3. In Compton scattering the incident photons have wavelength 3.0x10-10_m.

Calculate the wavelength of scattered radiation if they are viewed at angle of 60o_{to the} direction of incidence.

4. In Compton scattering prove that the direction of the recoil electron is Φ = tan-1_{[(cotθ/2)/(1+(hν/m}

oc2))

5. Differenciate between ψ and lψl2_.

1. What are matter waves? Discuss the Davisson & Germer experiment. 2. What is the energy of the gamma ray having a wavelength of 1.0Å?

3.Give the statement of Uncertainity Principle. Discuss its significance & Inportance.

4. Calculate the de-Broglie wavelength associated with a proton moving with a

elocity equal to 1/20th_{of the velocity of light.}

5. Show that wavelength λ associated with an electron of mass m and kinetic energy

E is given by λ = h/√2mE , where h is Planck’s constant.

6.Active Medium Gain in Laser is 1.05. Length of the laser is30 cm. The loss coefficient is 1.34 x 10-4_cm-1_{. The reflection coefficient of the mirrors are 0.999 & 0.95 resp.} Calculate---(i) The loss factor (M) (ii) The Loop Gain (GL) (iii) Gain Coefficient(β)

1.Calculate the Uncetainity in the momentum of a particle when its position is determined within 0.01 cm. Also find the uncertainity in the velocity of an electron & α-particle respectively when they are located within 5x10-8_cm.[m

e=9.0x 10 -31_kg,m

p=1.67x 10-27 kg]

2. Derive Schrodinger Time Independent & Time Dependent wave equations.

3. Hydrogen atom, say has a radius of 5.0 Å. Calculate the kinetic energy needed by

an electron to be confined to the atom.

4. An electron has a speed of 600 m/s with an accuracy of 0.005% . Calculate the

certainity with which we can locate the position of the electron.

5. Starting from de-Broglie wave concept, Obtain Heisenberg’s uncertainity principle, ΔxΔp ≥ h/2π.

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Semester

1. What do you mean by particle in a box? Show that the energy of electron in the box varies as the square of the natural number.

2.What do you understand by an optical resonant cavity?Explain the types of cavities. What is Laser gain? Explain.

3. Derive Schrodinger Time Independent & Time Dependent wave equations. 4. What is stimulated and spontaneous emissions? Derive einstein’s relations. 5. What are matter waves? Discuss the Davisson & Germer experiment.

Tutorial Sheet NO: 5 Unit- III & IV- Lasers & Laser Systems:

1. Discuss Spatial and Temporal coherence.

2. Expalin the Main Components of laser.

3. What do you understand by Contineous Wave (CW) & Pulsed Lasers?

4. Explain mechanism of production of Laser.

5. Discuss the important characteristics of Laser?

6. What do you understand by short pulse generation and measurement; discuss with

examples.

1. What are different types of Lasers?

2. Explain He-Ne Laser. How it is better than Ruby Laser?

3. Expain Nd-YAG Laser. Discus its uses.

4. What is principal of laser? Explain N2 must be more than N1 for laser action.

(N1 , N2 be the number of atoms per unit volume of the medium in the energy state

E1 and E2 respectively at any instant.)

5. What do you know by electron seeding? Explain Excimer laser. What is Exciplexes?

2. Discuss Three & Four Level Lasers

3. Prove that Einstein’s coefficient for Spontaneous emission is proportional to cube

of the frequency.

4. What do you know by electron seeding? Explain Excimer laser. What is

Exciplexes?

5. Discuss Atom Laser? How it is different from an Optical laser?

6. In He-Ne laser, fringes remained clearly visible when the path difference was increased upto 8 m. Deduce the lower limit for

(i) Coherence Length (ii) Coherence Time (iii) Spectral half

width end or line width (iv) Q-factor of line given by wavelength, λ= 11.5 x 10-7

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Semester

1. Explain Ar+_{ion Laser.}

2. Discuss Ruby Laser. What are the useses of theis laser?

3. Explain Liquid Dye Lasers

4. What are laser applications in the medical field ? How it helped in the field of

Opthalmology?

5. Explain laser application in Material Processing (Cutting, Drilling, Hardening

etc.) Prove that the intensity at the focused region is I = Pr2_/лλ2_ƒ2

Where, P is the Power, r is the radius of the beam, λ is the wavelength of the laser light and ƒis thefocal length of the lens.

Tutorial Sheet NO: 9 Unit- V- Applications:

1. Explain Excimer Laser.

2. Explain Laser application in Material Processing; especially in Laser Hardening.

3. What are military applications of laser?

4. What do you know by electron seeding? Explain CO2 laser of all types.

5. Discuss Atom Laser? How it is different from an Optical laser?

Tutorial Sheet NO: 10 Unit- V- Applications:

1. Explain Laser Application in Opthalmology.

2. What are Military Applications of Laser?

3. Explain the types of Holograms.

4. What is LIDAR . Discuss its application.

5. How lasers are used in communication discuss in detail.

6. Discuss the following : (i)- LIDAR

(ii) Laser in Metrology

(iii) How Laser will help a blind person. (iv) Laser in Angioplasty

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Semester

Class Test NO: 1 Subject: LSA Unit – I & II – Introduction:

1.What is Compton Effect? Prove that Compton Shift, Δλ = (h/moc )(1-cosθ)

2. X- rays of 1.0Å are scattered from a carbon block. Find the wavelength of the scattered beam in the direction making 90o_{with the incident beam. How much kinetic energy is} imparted to the recoiling electron? [h= 6063x 10-34_{Js, c= 3x10}8_{m/s, 1 eV= 1.6x10}-19_J] 3. What are matter waves? Discuss the Davisson & Germer experiment.

Class Test No : 2 Unit – I & II – Introduction:

1.Calculate the Uncetainity in the momentum of a particle when its position is determined within 0.01 cm. Also find the uncertainity in the velocity of an electron & α-particle respectively when they are located within 5x10-8_cm.[m

e=9.0x 10-31kg,mp=1.67x 10-27 kg] 2. Derive Schrodinger Time Independent & Time Dependent wave equations.

3. What do you mean by particle in a box? Show that the energy of electron in the box varies as the square of the natural number.

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Semester

Class Test NO: 3 Unit- III & IV- Lasers & Laser Systems:

1. Expalin the Main Components of laser.

2. What do you understand by Contineous Wave (CW) & Pulsed Lasers? 3. What are different types of Lasers?

Class Test NO: 4 Unit- III & IV- Lasers & Laser systems:

2. Discuss Three & Four Level Lasers. 3. Explain Ar+_{ion Laser.}

4. Explain Ruby Laser.

5.What do you understand by short pulse generation and measurement; discuss with examples.

Class Test NO: 5 Unit- V- Applications:

1. Explain CO2 Laser OR Excimer Laser.

2. Explain Laser application in Material Processing; especially in Laser Hardening. 3. Explain Laser Application in Opthalmology. And in Infirtility.