Instructions:
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct option / answer the following (Any seven question
only):
For which angle of scattering is the Compton shift maximum?
Which of the following is the characteristic of wave function?
Critical angle depends on
Diamagnetic materials are
Write down time-independent Schrödinger's wave equation in 1-dimension.
Young's double slit experiment was performed in a laboratory by taking monochromatic blue, orange and red light and fringe widths were obtained as respectively. Other variables had been kept constants. Write down the fringe widths in decreasing order.
Write down the Maxwell's equation which explains the non-existence of singular magnetic poles.
What is Lorentz force?
The maximum velocity and maximum acceleration in a simple harmonic oscillator are numerically equal. What is the time period?
What is the ratio of intensities of maxima and minima in interference if the intensity ratio is 9:1?
Q.2 Solve both questions :
Mention the forces acting in Forced Harmonic Oscillator. Set its differential equation. Derive expressions for the phase difference and resultant amplitude.
What is Coriolis acceleration? Explain its applications in weather system.
Q.3 Solve both questions :
Discuss the structure and working of He-Ne LASER. Draw its energy band diagram.
What is population inversion? What is its importance in Lasing action?
Q.4 Solve both questions :
Derive an expression for resultant intensity in Fraunhoffer's single slit diffraction. Mention the conditions for maxima and minima. Draw the intensities distribution curve.
Write a short note on Michelson's interferometer.
Q.5 Solve both questions :
What is ferromagnetic hysteresis? Draw the B-H plot and show the coercive field and remanent magnetisation in the plot.
Derive an expression for torque on a magnetic dipole inside a uniform magnetic field. Define magnetic moment.
Q.6 Solve both questions :
Discuss Kronig-Penney model for the motion of an electron in a periodic potential and the existence of allowed and forbidden energy bands.
Draw the total Energy (E) vs. Wave number (k) curve for an electron in 1-D lattice.
Q.7 Solve both questions :
What is Compton Effect? Give the expression for Compton shift. How does the shift depend upon the angle of scattering?
Derive Einstein's photo-electric equation. Plot the variation of stopping potential vs frequency. Define threshold frequency.
Q.8 Solve this question :
Write down Schrödinger's wave equation for a particle inside 1-D Box given by for and for and . Solve it to obtain energy eigen values. Show that energy eigen values are discrete.
Q.9 Write short note on any two of the following:
Instructions:
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct option / answer the following (Any seven question
only):
For which angle of scattering is the Compton shift maximum?
Which of the following is the characteristic of wave function?
Critical angle depends on
Diamagnetic materials are
Write down time-independent Schrödinger's wave equation in 1-dimension.
Young's double slit experiment was performed in a laboratory by taking monochromatic blue, orange and red light and fringe widths were obtained as respectively. Other variables had been kept constants. Write down the fringe widths in decreasing order.
Write down the Maxwell's equation which explains the non-existence of singular magnetic poles.
What is Lorentz force?
The maximum velocity and maximum acceleration in a simple harmonic oscillator are numerically equal. What is the time period?
What is the ratio of intensities of maxima and minima in interference if the intensity ratio is 9:1?
Q.2 Solve both questions :
Mention the forces acting in Forced Harmonic Oscillator. Set its differential equation. Derive expressions for the phase difference and resultant amplitude.
What is Coriolis acceleration? Explain its applications in weather system.
Q.3 Solve both questions :
Discuss the structure and working of He-Ne LASER. Draw its energy band diagram.
What is population inversion? What is its importance in Lasing action?
Q.4 Solve both questions :
Derive an expression for resultant intensity in Fraunhoffer's single slit diffraction. Mention the conditions for maxima and minima. Draw the intensities distribution curve.
Write a short note on Michelson's interferometer.
Q.5 Solve both questions :
What is ferromagnetic hysteresis? Draw the B-H plot and show the coercive field and remanent magnetisation in the plot.
Derive an expression for torque on a magnetic dipole inside a uniform magnetic field. Define magnetic moment.
Q.6 Solve both questions :
Discuss Kronig-Penney model for the motion of an electron in a periodic potential and the existence of allowed and forbidden energy bands.
Draw the total Energy (E) vs. Wave number (k) curve for an electron in 1-D lattice.
Q.7 Solve both questions :
What is Compton Effect? Give the expression for Compton shift. How does the shift depend upon the angle of scattering?
Derive Einstein's photo-electric equation. Plot the variation of stopping potential vs frequency. Define threshold frequency.
Q.8 Solve this question :
Write down Schrödinger's wave equation for a particle inside 1-D Box given by for 0 < x < L and for x < 0 and x> L. Solve it to obtain energy eigen values. Show that energy eigen values are discrete.
Q.9 Write short note on any two of the following:
Instructions:
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct option / answer the following (Any seven question
only):
For which angle of scattering is the Compton shift maximum?
Which of the following is the characteristic of wave function?
Critical angle depends on
Diamagnetic materials are
Write down time-independent Schrödinger's wave equation in 1-dimension.
Young's double slit experiment was performed in a laboratory by taking monochromatic blue, orange and red light and fringe widths were obtained as respectively. Other variables had been kept constants. Write down the fringe widths in decreasing order.
Write down the Maxwell's equation which explains the non-existence of singular magnetic poles.
What is Lorentz force?
The maximum velocity and maximum acceleration in a simple harmonic oscillator are numerically equal. What is the time period?
What is the ratio of intensities of maxima and minima in interference if the intensity ratio is 9:1?
Q.2 Solve both questions :
Mention the forces acting in Forced Harmonic Oscillator. Set its differential equation. Derive expressions for the phase difference and resultant amplitude.
What is Coriolis acceleration? Explain its applications in weather system.
Q.3 Solve both questions :
Discuss the structure and working of He-Ne LASER. Draw its energy band diagram.
What is population inversion? What is its importance in Lasing action?
Q.4 Solve both questions :
Derive an expression for resultant intensity in Fraunhoffer's single slit diffraction. Mention the conditions for maxima and minima. Draw the intensities distribution curve.
Write a short note on Michelson's interferometer.
Q.5 Solve both questions :
What is ferromagnetic hysteresis? Draw the B-H plot and show the coercive field and remanent magnetisation in the plot.
Derive an expression for torque on a magnetic dipole inside a uniform magnetic field. Define magnetic moment.
Q.6 Solve both questions :
Discuss Kronig-Penney model for the motion of an electron in a periodic potential and the existence of allowed and forbidden energy bands.
Draw the total Energy (E) vs. Wave number (k) curve for an electron in 1-D lattice.
Q.7 Solve both questions :
What is Compton Effect? Give the expression for Compton shift. How does the shift depend upon the angle of scattering?
Derive Einstein's photo-electric equation. Plot the variation of stopping potential vs frequency. Define threshold frequency.
Q.8 Solve this question :
Write down Schrödinger's wave equation for a particle inside 1-D Box given by for 0 < x < L and for x < 0 and x> L. Solve it to obtain energy eigen values. Show that energy eigen values are discrete.
Q.9 Write short note on any two of the following:
Instructions:
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct option / answer the following (Any seven question
only):
For which angle of scattering is the Compton shift maximum?
Which of the following is the characteristic of wave function?
Critical angle depends on
Diamagnetic materials are
Write down time-independent Schrödinger's wave equation in 1-dimension.
Young's double slit experiment was performed in a laboratory by taking monochromatic blue, orange and red light and fringe widths were obtained as $ \beta_{B}, \beta_{O}, \beta_{R} $ respectively. Other variables had been kept constants. Write down the fringe widths in decreasing order.
Write down the Maxwell's equation which explains the non-existence of singular magnetic poles.
What is Lorentz force?
The maximum velocity and maximum acceleration in a simple harmonic oscillator are numerically equal. What is the time period?
What is the ratio of intensities of maxima and minima in interference if the intensity ratio is 9:1?
Q.2 Solve both questions :
Mention the forces acting in Forced Harmonic Oscillator. Set its differential equation. Derive expressions for the phase difference and resultant amplitude.
What is Coriolis acceleration? Explain its applications in weather system.
Q.3 Solve both questions :
Discuss the structure and working of He-Ne LASER. Draw its energy band diagram.
What is population inversion? What is its importance in Lasing action?
Q.4 Solve both questions :
Derive an expression for resultant intensity in Fraunhoffer's single slit diffraction. Mention the conditions for maxima and minima. Draw the intensities distribution curve.
Write a short note on Michelson's interferometer.
Q.5 Solve both questions :
What is ferromagnetic hysteresis? Draw the B-H plot and show the coercive field and remanent magnetisation in the plot.
Derive an expression for torque on a magnetic dipole inside a uniform magnetic field. Define magnetic moment.
Q.6 Solve both questions :
Discuss Kronig-Penney model for the motion of an electron in a periodic potential and the existence of allowed and forbidden energy bands.
Draw the total Energy (E) vs. Wave number (k) curve for an electron in 1-D lattice.
Q.7 Solve both questions :
What is Compton Effect? Give the expression for Compton shift. How does the shift depend upon the angle of scattering?
Derive Einstein's photo-electric equation. Plot the variation of stopping potential vs frequency. Define threshold frequency.
Q.8 Solve this question :
Write down Schrödinger's wave equation for a particle inside 1-D Box given by $ V(x)=0 $ for $ 0 < x < L $ and $ V(x)=\infty $ for $ x < 0 $ and $ x> L $. Solve it to obtain energy eigen values. Show that energy eigen values are discrete.
Q.9 Write short note on any two of the following:
Instructions:
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct option / answer the following (Any seven question
only):
For which angle of scattering is the Compton shift maximum?
Which of the following is the characteristic of wave function?
Critical angle depends on
Diamagnetic materials are
Write down time-independent Schrödinger's wave equation in 1-dimension.
Young's double slit experiment was performed in a laboratory by taking monochromatic blue, orange and red light and fringe widths were obtained as $ \beta_{B}, \beta_{O}, \beta_{R} $ respectively. Other variables had been kept constants. Write down the fringe widths in decreasing order.
Write down the Maxwell's equation which explains the non-existence of singular magnetic poles.
What is Lorentz force?
The maximum velocity and maximum acceleration in a simple harmonic oscillator are numerically equal. What is the time period?
What is the ratio of intensities of maxima and minima in interference if the intensity ratio is 9:1?
Q.2 Solve both questions :
Mention the forces acting in Forced Harmonic Oscillator. Set its differential equation. Derive expressions for the phase difference and resultant amplitude.
What is Coriolis acceleration? Explain its applications in weather system.
Q.3 Solve both questions :
Discuss the structure and working of He-Ne LASER. Draw its energy band diagram.
What is population inversion? What is its importance in Lasing action?
Q.4 Solve both questions :
Derive an expression for resultant intensity in Fraunhoffer's single slit diffraction. Mention the conditions for maxima and minima. Draw the intensities distribution curve.
Write a short note on Michelson's interferometer.
Q.5 Solve both questions :
What is ferromagnetic hysteresis? Draw the B-H plot and show the coercive field and remanent magnetisation in the plot.
Derive an expression for torque on a magnetic dipole inside a uniform magnetic field. Define magnetic moment.
Q.6 Solve both questions :
Discuss Kronig-Penney model for the motion of an electron in a periodic potential and the existence of allowed and forbidden energy bands.
Draw the total Energy (E) vs. Wave number (k) curve for an electron in 1-D lattice.
Q.7 Solve both questions :
What is Compton Effect? Give the expression for Compton shift. How does the shift depend upon the angle of scattering?
Derive Einstein's photo-electric equation. Plot the variation of stopping potential vs frequency. Define threshold frequency.
Q.8 Solve this question :
Write down Schrödinger's wave equation for a particle inside 1-D Box given by $ V(x)=0 $ for $ 0 < x < L $ and $ V(x)=\infty $ for $ x < 0 $ and $ x> L $. Solve it to obtain energy eigen values. Show that energy eigen values are discrete.
Q.9 Write short note on any two of the following:
Instructions:
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct option/write the answer of the following (Any
seven):
Which of the following principle explains that electrons do not exist inside the nucleus?
Which of the following is the characteristic of wave function?
Which phenomenon explains the particle nature of light?
Write down four applications of LASER in its fields of engineering.
Define Fermi Energy.
Write down time-dependent Schrödinger’s wave equation in 1-dimension.
Show graphically the intensity distribution in Fraunhoffer diffraction due to a single slit.
What is Lorentz force?
Show that displacement vs. velocity graph of SHM is elliptical.
Write down condition for the validity of ampere’s circuital law?
Q.2 Solve both questions :
Derive the differential equation for Damped Harmonic Oscillator. Give its solution. Differentiate between under damped, over damped and critically damped harmonic oscillation including graphical representation.
Explain Coriolis effect and its applications in weather system.
Q.3 Solve both questions :
Discuss the structure and working of Ruby LASER. Draw and explain its energy band diagram.
Write notes on population inversion in LASER.
Q.4 Solve both questions :
What is diffraction grating? Discuss the diffraction pattern due to a grating with intensities distribution curve.
Derive an expression for the fringe width in Young’s double slit experiment.
Q.5 Solve both questions :
Write down Schrondiger equation for a particle in 1-D box given by $ V(x) = 0, \quad 0 < x < L $ and $ V(x)=\infty, \quad x < 0 \text{ and } x> L $. Solve it to obtain energy eigen values. Show that energy eigen values are discrete.
What is Compton effect? Explain how does Compton shift depend on angle of scattering?
Q.6 Solve both questions :
Discuss Kronig-Penney model for the motion of an electron in a periodic potential and the existence of allowed and forbidden energy bands.
Draw the total energy (E) vs. wave number (k) curve for an electron in a solid.
Q.7 Solve both questions :
State Biot-Savart’s law. Apply it to derive an expression for magnetic flux density at the centre of a circular coil carrying current.
Distinguish among dia, para and ferro magnetic materials on the basis of orientation of atomic magnetic moments under the external magnetic fields.
Q.8 Solve both questions :
Define Poynting vector. Use Maxwell’s equations to derive Poynting theorem.
State Faraday’s laws and Lenz’s law of electromagnetic induction. Write down the corresponding Maxwell’s equation.
Q.9 Write notes on any two of the following:
Instructions:
- The marks are indicated in the right-hand margin.
- There are NINE questions in this paper.
- Attempt FIVE questions in all.
- Question No. 1 is compulsory.
Q.1 Choose the correct option/write the answer of the following (Any
seven):
Which of the following principle explains that electrons do not exist inside the nucleus?
Which of the following is the characteristic of wave function?
Which phenomenon explains the particle nature of light?
Write down four applications of LASER in its fields of engineering.
Define Fermi Energy.
Write down time-dependent Schrödinger’s wave equation in 1-dimension.
Show graphically the intensity distribution in Fraunhoffer diffraction due to a single slit.
What is Lorentz force?
Show that displacement vs. velocity graph of SHM is elliptical.
Write down condition for the validity of ampere’s circuital law?
Q.2 Solve both questions :
Derive the differential equation for Damped Harmonic Oscillator. Give its solution. Differentiate between under damped, over damped and critically damped harmonic oscillation including graphical representation.
Explain Coriolis effect and its applications in weather system.
Q.3 Solve both questions :
Discuss the structure and working of Ruby LASER. Draw and explain its energy band diagram.
Write notes on population inversion in LASER.
Q.4 Solve both questions :
What is diffraction grating? Discuss the diffraction pattern due to a grating with intensities distribution curve.
Derive an expression for the fringe width in Young’s double slit experiment.
Q.5 Solve both questions :
Write down Schrondiger equation for a particle in 1-D box given by $ V(x) = 0, \quad 0 < x < L V(x)=\infty, \quad x < 0 \text{ and } x> L $. Solve it to obtain energy eigen values. Show that energy eigen values are discrete.
What is Compton effect? Explain how does Compton shift depend on angle of scattering?
Q.6 Solve both questions :
Discuss Kronig-Penney model for the motion of an electron in a periodic potential and the existence of allowed and forbidden energy bands.
Draw the total energy (E) vs. wave number (k) curve for an electron in a solid.
Q.7 Solve both questions :
State Biot-Savart’s law. Apply it to derive an expression for magnetic flux density at the centre of a circular coil carrying current.
Distinguish among dia, para and ferro magnetic materials on the basis of orientation of atomic magnetic moments under the external magnetic fields.
Q.8 Solve both questions :
Define Poynting vector. Use Maxwell’s equations to derive Poynting theorem.
State Faraday’s laws and Lenz’s law of electromagnetic induction. Write down the corresponding Maxwell’s equation.