SECTION—A / Àª›W‹>—A

1.(a) Give a comparison between turbulent flow and streamline flow of a fluid.

Obtain the equation of continuity for the streamline flow of a compressible

fluid. Derive Bernoulli’s equation for the steady flow of an ideal

incompressible fluid. [25 Marks]

MAzÀÄ zÀæªÀzÀ ¥ÀæPÀëħުÀºÀ£À ªÀÄvÀÄÛ ¥ÀæªÁºÀgÉÃTÃAiÀÄÄ ªÀºÀ£ÀzÀ CAvÀgÀªÀ£ÀÄß vË®¤PÀªÁV¥Àj²Ã°¹. ¥ÀæªÁºÀgÉÃTAiÀÄ ºÀj«£À ¤gÀAvÀgÀvÉ ¸À«ÄÃPÀgÀtªÀ£ÀÄß ¸ÀA¦ÃqÀ¤ÃAiÀĪÁ»ºÀj«UÉ ¸ÀA§A¢ü¹zÀAvÉ ¥ÀqɬÄj. ¤AiÀÄvÀ ºÀjªÀÅ DUÀÄwÛgÀĪÀ DzÀ±ÀðC¸ÀA¦ÃqÀ¤ÃAiÀĪÁ»UÉ §£Ëð° ¸À«ÄÃPÀgÀtªÀ£ÀÄߤµÀàwÛ¹.

18/I-Physics 1

1.(b) Derive an expression to show Maxwell-Boltzmann velocity distribution

depends on the temperature of the gas. Also explain what is the significance

of Maxwell-Boltzmann velocity distribution function versus velocity.

[25 Marks]

ªÀiÁåPïìªÉ¯ï ¨ÉÆïïÖ÷ÓªÀÄ£ï ªÉÃUÀzÀ «vÀgÀuÉAiÀÄÄ C¤®zÀ vÁ¥ÀzÀ ªÉÄïÉCªÀ®A©vÀªÁVgÀÄvÀÛzÉA§ÄzÀ£ÀÄß vÉÆÃj¸ÀĪÀ C©üªÀåQÛAiÀÄ£ÀÄß ¤µÀàwÛ¹. ªÀiÁåPïìªÉ¯ï

¨ÉÆïïÖ÷ÓªÀÄ£ï ªÉÃUÀ «vÀgÀuÁ PÁAiÀÄð v/s ªÉÃUÀzÀ ªÀĺÀvÀéªÉãÉA§ÄzÀ£ÀÄß ¸ÀºÀ «ªÀj¹.

2. Two point masses m 1 and m 2 are at rr1,r

r2 . The mass m 1 exerts a force

r F21 on

rF21 on m 1 with

r F12= -

rF21=-Kr

r/r 3. Herem and in turn m 2 exerts a force

r 2 r rr = r2 - r1 and K is a positive constant. Show that this two-body problem

can be reduced to two one body problems, one representing the free motion

of the centre of mass and the other, the motion of the reduced mass

m = m 1m 2 /(m 1 + m 2 ) in the potential V (r ) = -K /r. Solve the problem of the

reduced mass and show that it moves along a conic with constant orbital

angular momentum about the centre of mass. [50 Marks]

JgÀqÀÄ m 1 ªÀÄvÀÄÛ m 2 ©AzÀÄgÁ²UÀ¼ÀÄ r rr1,r2 zÀ°èªÉ. m 1 gÁ²AiÀÄÄ

r

r rF12= -

F12 §®ªÀ£ÀÄß m 2r rF21=-Kr /r 3ªÉÄÃ®Æ ªÀÄvÀÄÛ m 2 gÁ²AiÀÄÄ

zÉÆA¢UÉ ¥ÀæAiÉÆÃV¸ÀÄvÀÛzÉ. E°è

F §®ªÀ£ÀÄß m 1 ªÉÄÃ®Æ r

21r r

r = r2 - r1 ªÀÄvÀÄÛ K AiÀÄÄ zsÀ£ÁvÀäPÀ ¹ÜgÁA±À. JgÀqÀÄ

PÁAiÀÄ ¸ÀªÀĸÉåAiÀÄ£ÀÄß, JgÀqÀÄ MAzÀÄ PÁAiÀÄ ¸ÀªÀĸÉåAiÀÄ£ÁßV vÀVιzÁUÀ, gÁ²AiÀÄ PÉÃAzÀæzÀ

ªÀÄÄPÀÛ ZÀ®£ÉAiÀÄ£ÀÄߪ MAzÀÄ ¥Àæw¤¢ü¸ÀÄwÛzÀÄÝÀ vÀVÎzÀ gÁ²AiÀÄ ZÀ®£É m = m 1m 2 /(m 1 + m 2 ) AiÀÄÄ «¨sÀªÀ V (r ) = -K /r £À°è ªÀÄvÉÆÛAzÀÄ ¥Àæw¤¢ü̧ ÀÄwÛzÉ.

vÀVÎzÀ gÁ²AiÀÄ ¸ÀªÀĸÉåAiÀÄ£ÀÄß ¥ÀjºÀj¹ ªÀÄvÀÄÛ CzÀÄ ±ÀAPÀÄZÉÒÃzÀ ¥ÀxÀzÀÄzÀÝPÀÆÌ ¹ÜgÀ PÀQëÃAiÀÄ PÉÆäÃAiÀÄ dqÀvÁ ªÀĺÀvÀÛ÷ézÉÆA¢UÉ gÁ²AiÀÄ PÉÃAzÀæzÀ ªÉÄÃ¯É ZÀ°¸ÀÄwÛgÀĪÀÅzÀ£ÀÄß vÉÆÃj¹.

Time : 3 hours ”‹ ‹·ø· : 3 W‹ÌpÊW‹Ÿ‹·

Maximum Marks : 250

W‹ƒ–‹u AÌP‹W‹Ÿ‹·: 250

3. State postulates of special theory of relativity. What is Lorentz contraction?

Obtain an expression for the length contraction on the Lorentz

transformation equations. At what speed the mass of a particle will be

double of its value at rest? [50 Marks]

«²µÀÖ ¸Á¥ÉÃPÀëvÁ ¹zÁÞAvÀzÀ DzsÁgÀ ¸ÀÆvÀæUÀ¼À£ÀÄß w½¹. ¯ÉÆÃgÉ£ïÓ ¸ÀAPÉÆÃZÀ£À

JAzÀgÉãÀÄ? «Ê„‡√ÊÆÖjÆ‹ ¥ÀjªÀvÀð£ÉAiÀÄ ¸À«ÄÃPÀgÀtUÀ¼À ªÉÄÃ¯É GzÀÝzÀ ¸ÀAPÉÆÃZÀ£ÀPÁÌVC©üªÀåQÛAiÀÄ£ÀÄß ¥ÀqɬÄj. MAzÀÄ PÀtzÀ AiÀiÁªÀ ªÉÃUÀzÀ°è CzÀgÀ gÁ²AiÀÄÄ (¤±ÀÑ®vÉAiÀÄ)CzÀgÀ «±ÁæAvÀvÉAiÀÄ ªÀiË®åPÉÌ zÀÄ¥ÀàmÁÖUÀÄvÀÛzÉ?

4. What is heat engine? Define the efficiency of a heat engine. Discuss the

construction, working of Carnot’s heat engine based on temperature

entropy (TS) diagram and obtain an expression of its efficiency. [50 Marks]

GµÀÚ EAf£ï JAzÀgÉãÀÄ? GµÀÚ EAf¤ß£À zÀPÀëvÉAiÀÄ£ÀÄß ªÁåSÁ夹 vÁ¥ÀJAmÁæ¦ (TS)

£ÀPÁ±ÉAiÀÄ£ÀÄß CzsÀj¹, P›Æ›ÏpÖ GµÀÚ EAf¤ß£À gÀZÀ£É, PÁAiÀÄðªÀ£ÀÄß ªÀÄvÀÄÛ CzÀgÀzÀPÀëvÉAiÀÄ C©üªÀåQÛAiÀÄ£ÀÄß ¥ÀqɬÄj.

SECTION—B / Àª›W‹>—B

5.(a) What are the drawbacks of Einstein’s theory of heat capacity? How Debye

improved the Einstein’s theory of heat capacity. Explain the Debye theory.

[25 Marks]

L£À¸ÉÖöÊ£ï CªÀgÀÄ ¤gÀƦ¹zÀ GµÀÚ ¸ÁªÀÄxÀåðzÀ ¹zÁÞAvÀzÀ £ÀÆå£ÀvÉUÀ¼ÉãÀÄ? CzÀ£ÀÄß r¨ÉÊ £ÀÄ ¸ÀÄzsÁj¹zÀ §UÉ ºÉÃUÉ? r¨ÉÊ ¹zÁÞAvÀªÀ£ÀÄß «ªÀj¹.

5.(b) Explain the formation of bands observed in the Fresnel’s diffraction pattern

due to straight edge. How will you determine the wavelength of

monochromatic source of light using diffraction bands. [25 Marks]

£ÉÃgÀ CAa£À PÁgÀt¢AzÁV ¥sÉæ¸ï£É¯ï£À «ªÀvÀð£À ¥ÀnÖAiÀÄ «£Áå¸ÀzÀ°è ¥ÀnÖUÀ¼ÀÄGAmÁUÀĪÀÅzÀ£ÀÄß UÀªÀĤ¸À¯ÁVzÀÄÝ EzÀ£ÀÄß «ªÀj¹. ¨É¼ÀQ£À KPÀªÀtÂÃðAiÀÄ DPÀgÀzÀvÀgÀAUÀzÀÆgÀªÀ£ÀÄß ºÉÃUÉ ¤zsÀðj¸ÀÄ«j?

6.(a) What are Lissajous figures?

Give an analytical treatment for the composition of two SHMs acting at

right angles to each other having same period. Show under which

conditions, the equation represents a straight line, an ellipse and a circle.

[25 Marks]

°¸Áe˸ï DPÀÈwUÀ¼ÉAzÀgÉãÀÄ?

JgÀqÀÄ ¸ÀgÀ¼À ¸ÀAUÀvÀ DAzÉÆî£ÀUÀ¼ÀÄ (SHM) ¥ÀgÀ¸ÀàgÀ ®A§PÉÆãÀUÀ¼À°è ¥ÀæAiÉÆÃUÀ DV JgÀqÀgÀ DªÀ¢üAiÀÄÄ MAzÉà EzÁÝUÀ EzÀgÀ ¸ÀAAiÉÆÃd£ÉUÁV «±ÉèõÀuÁvÀäPÀ ¥Àæw¥ÁzÀ£ÉAiÀÄ£ÀÄß ¤Ãr. AiÀiÁªÀ ¸ÀAzÀ¨sÀðUÀ¼À°è ¸À«ÄÃPÀgÀtªÀÅ ¸ÀgÀ¼À gÉÃSÉ, ¢ÃWÀðªÀÈvÀÛ ªÀÄvÀÄÛ ªÀÈvÀÛUÀ¼À£ÀÄߥÀæw¤¢ü¸ÀÄvÀÛzÉA§ÄzÀ£ÀÄß vÉÆÃj¹.

6.(b) Starting with the differential equation of forced vibration, obtain an

expression for amplitude and phase of forced vibrations. Discuss the

sharpness of resonance. [25 Marks]

¤§ðAzsÀzÀ PÀA¥À£ÀzÀ CªÀPÀ®£À ¸À«ÄÃPÀgÀt¢AzÀ ¥ÁægÀA©ü¹, ªÉå±Á®å ºÁUÀÆ ¤§ðAzsÀzÀPÀA¥À£ÀUÀ¼À ¥ÁæªÀ¸ÉÜUÉ ¸À«ÄÃPÀgÀt¥ÀqɬÄj. C£ÀÄgÀt£ÉAiÀÄ wÃPÀë÷ÚvÉAiÀÄ£ÀÄß ZÀað¹.

7.(b) Present the principle of holography and project in detail the arrangement

for the recording and the reconstruction of holograms. Differentiate

between photography and holography. [25 Marks]

ºÉÆïÉÆÃUÀæ¦AiÀÄ (¥ÀÆtð ¯ÉÃR£À) vÀvÀÛ÷éªÀ£ÀÄß ¤gÀƦ¹ ªÀÄvÀÄÛ ºÉÆïÉÆÃUÁæªÀÄUÀ¼À(¥ÀÆtð¯ÉÃR) zÁR¯ÁwUÉ ªÀÄvÀÄÛ ¥ÀÄ£Àgï gÀZÀ£ÉUÁV ¨ÉÃPÁzÀ eÉÆÃqÀuÁ ªÀåªÀ¸ÉÜAiÀÄ£ÀÄß

«¸ÀÛøvÀªÁV ¥ÀææPÉëæ¹. d›øfibÒ‹≈W‹≈÷‹|P‹„R ªÀÄvÀÄÛ ºÉÆïÉÆÃUÀæ¦üUÀÆ EgÀĪÀ ªÉÊzÀȱÀåUÀ¼À£ÀÄßw½¹.

8.(a) What is meant by resolving power of an optical instrument? Explain

Rayleigh’s criterion for just resolution. Give a method for experimental

determination of the resolving power of a grating. [20 Marks]

zÀÄåw G¥ÀPÀgÀtzÀ ¥ÀÈxÀPÀÌgÀt ¸ÁªÀÄxÀåð JAzÀgÉãÀÄ? ¥ÀÈxÀPÀÌgÀtPÀ̵ÉÖà gÁå¯ÉªÀiÁ£ÀzÀAqÀªÀ£ÀÄß «ªÀj¹. UÉæÃnAUï£À ¥ÀÈxÀPÀÌgÀt ¸ÁªÀÄxÀåðzÀ ¤zsÁðgÀPÁÌÌV ¥ÁæAiÉÆÃVPÀvÉAiÀÄ MAzÀÄ «zsÁ£ÀªÀ£ÀÄß «ªÀj¹.

8.(b) Describe Fraunhofer’s diffraction due to a single slit and deduce the

positions of the maxima and minima. Show that the relative intensities of

successive maxima are nearly 122

1

61:

1: :LLL What will happen if the width

of the slit is made equal to the wavelength of the light? [30 Marks]

¥Áæ£ÀºÁ¥sÀgï «ªÀvÀð£ÀªÀÅ KPÀ PÀAr / ¹Ã½PÉ ¬ÄAzÀ DUÀĪÀ §UÉAiÀÄ£ÀÄß «ªÀj¹ ªÀÄvÀÄÛUÀjµÀ× ºÁUÀÆ PÀ¤µÀ× ¸ÁÜ£ÀUÀ¼À£ÀÄß PÀÄjvÀÄ ¸Á¢ü¹. C£ÀÄPÀæªÀÄ UÀjµÀ×vÁ ¸Á¥ÉÃPÀë wêÀævÉUÀ¼ÀÄ

11

22

1

61: : :LLL UÉ ¸À«ÄÃ¥À JAzÀÄ vÉÆÃj¹. PÀArAiÀÄ/¹Ã½£À CUÀ®ªÀ£ÀÄß ¨É¼ÀQ£À

vÀgÀAUÁAvÀgÀPÉÌ ¸ÀªÀiÁ£ÀªÁV¹zÀgÉ K£ÀÄ ¸ÀA¨sÀ«¸ÀĪÀÅzÀÄ?

7.(a) Write a short note on the characteristics of a laser beam. Describe the

construction and working of a Helium-Neon laser. [25 Marks]

¯ÉøÀgï zÀÆ®zÀ UÀÄt ®PÀëtUÀ¼À£ÀÄß PÀÄjvÀÄ QgÀÄn¥Ààt §gɬÄj. »Ã°AiÀÄA ¤AiÀiÁ£ï¯ÉøÀgï£À gÀZÀ£É ºÁUÀÆ PÁAiÀÄð¤ªÀð»¸ÀÄ«PÉAiÀÄ£ÀÄß «ªÀj¹.

18/II-Physics 2

SECTION—A / Àª›W‹>—A

1.(a) Find the charge density at x=2 m and x=5 m if the electric field in the

region is given byrE = ax 2i$V /m for x = 0 to 3m and

r E = bi$V /m for x >3m.

±‹≈®Ê‡Õ‹®‹»…Æ‹

[15 Marks]r

«zÀÄåvï PÉëÃvÀæªÀ£ÀÄß E = ax 2i$V /m for x = 0 to 3m ªÀÄvÀÄÛrE = bi$V /m for x >3m jAzÀ ¤ÃqÀ®àmÁÖUÀ, x =2 m ªÀÄvÀÄÛ x =5 m £À°è «zÀÄåzÁªÉñÀ

¸ÁAzÀævÉAiÀÄ£ÀÄß PÀAqÀÄ»r¬Äj.

1.(b) rA closed cylinder of height h and radius R is placed in a magnetic field given

by B = B 0 (j$ - k$ ) . If the axis of the cylinder is aligned along the z-axis, find

the flux through (a) the top and bottom surfaces of the cylinder and (b) the

curved surface of the cylinder. [10 Marks]

rMAzÀÄ DªÀÈvÀ ¹°AqÀgï£À JvÀÛgÀ h ªÀÄvÀÄÛ wædå R £ÀÄß MAzÀÄ PÁAwÃAiÀÄ PÉëÃvÀæzÀ°èmÁÖUÀ

B = B 0 ($j - k$) jAzÀ ¤ÃqÀ®ànÖzÉ. ¹°AqÀgï£À CPÀëªÀ£ÀÄß z-CPÀëzÀÄzÀÝPÀÆÌ ¸Àj ºÉÆA¢¹zÁUÀ,

¥sÀèPïì£ÀÄß (§»: ¥ÀæªÀºÀtzÀ) (a) ¹°AqÀgï£À ªÉÄð£À ªÀÄvÀÄÛ vÀ¼ÀzÀ ªÉÄïÉäöÊUÀ¼ÀÄ ºÁUÀÆ(b) ¹°AqÀgï£À ªÀPÀæ ªÉÄïÉäöÊUÀ¼À ªÀÄÆ®PÀ PÀAqÀÄ»r¬Äj.

1.(c) What is Zeeman effect? Describe the experimental set-up for the study of

Zeeman effect. Distinguish between normal and anomalous Zeeman effect.

Write the Debye’s explanation of normal Zeeman effect. [25 Marks]

jhÄêÀÄ£ï ¥ÀjuÁªÀÄ JAzÀgÉãÀÄ? jhÄêÀÄ£ï ¥ÀjuÁªÀÄzÀ CzsÀåAiÀÄPÁÌV ¥ÁæAiÉÆÃVPÀ

eÉÆÃqÀuÉAiÀÄ£ÀÄß «ªÀj¹. ”‹÷‹g ºÁUÀÆ C¸ÀAUÀvÀ jhÄêÀÄ£ï ¥ÀjuÁªÀĪÀ£ÀÄß ¥ÀævÉåÃQ¹.¸ÀºÀd jhÄêÀÄ£ï ¥ÀjuÁªÀÄPÉÌ rèÉÊ «ªÀgÀuÉAiÀÄ£ÀÄß §gɬÄj.

Time : 3 hours ”‹ ‹·ø· : 3 W‹ÌpÊW‹Ÿ‹·

Maximum Marks : 250

W‹ƒ–‹u AÌP‹W‹Ÿ‹·: 250

2.(a) Discuss the classical and quantum theory of Raman effect and arrive at the

rotational and vibrational Raman shift. [25 Marks]

gÁªÀÄ£ï ¥ÀjuÁªÀÄzÀ ±Á¹ÛçÃAiÀÄ ªÀÄvÀÄÛ PÁéAlA ¹zÁÞAvÀUÀ¼À §UÉÎ ZÀað¹ ªÀÄvÀÄÛ¨sÀæªÀÄuÁvÀäPÀ ºÁUÀÆ PÀA¥À£ÁvÀäPÀ gÁªÀÄ£ï ²¥sïÖ£ÀÄß (¥À®èlªÀ£ÀÄß) ¸Á¢ü¹.

2.(b) Discuss Compton effect. Arrive at an expression for Compton shift.

[25 Marks]

PÁA¥ÀÖ£ï ¥ÀjuÁªÀĪÀ£ÀÄß ZÀað¹. PÁA¥ÀÖ£ï ¥À®èl PÀÄjvÀ C©üªÀåQÛAiÀÄ£ÀÄß ¥ÀqɬÄj.

3.(a) Obtain Schrodinger equation for a particle in one dimensional box and solve

it to get energy eigen-values. [20 Marks]

MAzÀÄ DAiÀiÁªÀÄzÀ ¥ÉnÖUÉAiÀÄ°è£À MAzÀÄ PÀtPÁÌV ±ÉÆæÃrAdgï ¸À«ÄÃPÀgÀt ¥ÀqɬÄjªÀÄvÀÄÛ ±ÀQÛAiÀÄ LUÀ£ïªÀiË®åUÀ¼À£ÀÄß ¥ÀqÉAiÀÄ®Ä CzÀ£ÀÄß ¥ÀjºÀj¹.

3.(b) [10 Marks]Explain continuous and characteristic X-Ray spectra.

¤gÀAvÀgÀ ªÀÄvÀÄÛ UÀÄt®PÀëtzÀ JPïì-QgÀtgÉÆûvÀªÀ£ÀÄß «ªÀj¹.

3.(c) Explain with theory the Gamma Ray microscope experiment to prove

uncertainty principle. [20 Marks]

C¤²ÑvÀvÁ vÀvÀÛ÷éªÀ£ÀÄß gÀÄdĪÁvÀÄ ªÀiÁqÀ®Ä UÁªÀiÁ QgÀt¸ÀÆPÀëöäzÀ±ÀðPÀ ¥ÀæAiÉÆÃUÀªÀ£ÀÄß¹zÁÞAvÀzÉÆA¢UÉ «ªÀj¹.

4. State Bohr’s postulates. Arrive at the energy of an electron in the hydrogen

atom based on Bohr’s Theory. Discuss the origin of several spectral series in

the hydrogen spectrum. [50 Marks]

¨ÉÆígï£À DzsÁgÀ ¸ÀÆvÀæUÀ¼À£ÀÄß w½¹. ¨ÉÆígï£À ¹zÁÞAvÀªÀ£ÁßzsÀj¹ d®d£ÀPÀ¥ÀgÀªÀiÁtÄ«£À°ègÀĪÀ J¯ÉPÁÖç£ï£À ±ÀQÛAiÀÄ£ÀÄß ¸Á¢ü¹. d®d£ÀPÀ gÉÆûvÀzÀ°è£À ºÀ®ªÁgÀÄgÉÆûvÀ ±ÉæÃtÂUÀ¼À GUÀªÀÄzÀ §UÉÎ ZÀað¹j.

SECTION—B / Àª›W‹>—B

5.(a) Explain the emission of b particles from radioactive nuclei and explain how

the b particles are investigated experimentally and explain their salient

features. What are the difficulties associated with a ray spectrum? Explain

how it is overcome with the introduction of the neutrino. [25 Marks]

«QgÀt²Ã® £ÀÆåQèAiÀĸï¤AzÀ ©ÃmÁPÀtUÀ¼À GvÀìdð£ÉAiÀÄ£ÀÄß «ªÀj¹ ªÀÄvÀÄÛ©ÃmÁPÀtUÀ¼À£ÀÄß ¥ÁæAiÉÆÃVPÀªÁV ¥ÀjÃQë¸ÀĪÀ ¥ÀjAiÀÄ£ÀÄß CªÀÅUÀ¼À ¥ÀæªÀÄÄR ®PÀëtUÀ¼ÉÆA¢UÉ «ªÀj¹. ©ÃmÁ QgÀt gÉÆûvÀzÉÆqÀ£É ¸ÀA§A¢ü¹gÀĪÀ QèµÀÖvÉUÀ¼ÉãÀÄ? £ÀÆånæ£ÉÆêÀ£ÀÄߧ¼À¸ÀĪÀÅzÀjAzÀ CzÀ£ÀÄß ºÉÃUÉ ¥ÀjºÀj¸À§ºÀÄzÉA§ÄzÀ£ÀÄß «ªÀj¹.

5.(b) What is logic gate? Mention basic logic gates and universal logic gates.

Explain positive and negative logic. Explain AND, OR, NOT operation on

logic gates. Explain the truth table for the circuit shown below. [25 Marks]

¯ÁfPï zÁégÀ JAzÀgÉãÀÄ? ªÀÄÆ® ¯ÁfPï zÁégÀUÀ¼ÀÄ ªÀÄvÀÄÛ ¸ÁªÀðwæPÀ ¯ÁfPïzÁégÀUÀ¼À£ÀÄß w½¹. zsÀ£ÁvÀäPÀ ªÀÄvÀÄÛ IÄuÁvÀäPÀ ¯ÁfPïUÀ¼À£ÀÄß «ªÀj¹. ¯ÁfPï zÁégÀUÀ¼À

ªÉÄÃ¯É AND, OR, NOT PÁAiÀiÁðZÀgÀuÉAiÀÄ£ÀÄß «ªÀj¹. PɼÀUÉ vÉÆÃj¸À¯ÁVgÀĪÀ ªÀÄAqÀ®PÉÌ AiÀÄxÁxÀð (¥ÁæªÀiÁtå) PÉÆõÀ×PÀªÀ£ÀÄß «ªÀj¹.

6.(a) Obtain the expression for binding energy of an atomic nucleus based on

liquid drop model. [20 Marks]

zÀæªÀ©AzÀÄ ªÀiÁzÀj DzsÀj¹ ¥ÀgÀªÀiÁtÄ £ÀÆåQèAiÀĸï£À §AzsÀ±ÀQÛUÉ ¸À«ÄÃPÀgÀtªÀ£ÀÄߥÀqɬÄj.

6.(b) What is superconductivity? Discuss BCS theory of superconductivity.

[15 Marks]

C¢üªÁºÀPÀvÉ JAzÀgÉãÀÄ? C¢üªÁºÀPÀvÉAiÀÄ BCS ¹zÁÞAvÀªÀ£ÀÄß a‹bÏ‘.

6.(c) Give the classification of elementary particles. What are hadrons? Explain

their classification based on spin statistics. List the conservation laws

obeyed by strong, electromagnetic and weak interactions. [15 Marks]

ªÀÄÆ®¨sÀÆvÀPÀtUÀ¼À ªÀVÃðPÀgÀtzÀ §UÉÎ w½¹. ºÁåqÁæ£ïUÀ¼ÉAzÀgÉãÀÄ? ¨sÀæªÀÄt CAQCA±ÁzsÁjvÀªÁV CªÀÅUÀ¼À ªÀVÃðPÀgÀtªÀ£ÀÄß w½¹. ¥À槮, «zÀÄåvÁÌAwÃAiÀÄ ªÀÄvÀÄÛ zÀħð® CAvÀgïQæAiÉÄUÀ½AzÀ C£ÀĸÀj¸À®àqÀĪÀ ¸ÀAgÀPÀëuÁ ¤AiÀĪÀÄUÀ¼À£ÀÄß ¥ÀnÖªÀiÁr.

7.(a) Describe the construction, working and theory of Aston’s mass

spectrograph. Explain how the mass spectrum is analysed by direct method

and coincidence method. [20 Marks]

D¸ÀÖ£ï£À gÁ² gÉÆûvÀzÀ±ÀðPÀzÀ gÀZÀ£É, PÁAiÀÄð ªÀÄvÀÄÛ vÀvÀÛ÷éªÀ£ÀÄß «ªÀj¹. gÁ²gÉÆûvÀªÀ£ÀÄß £ÉÃgÀ«zsÁ£À ºÁUÀÆ PÉÆÃE¤ìqÉ£ïì (¸ÀºÀ¸ÀA¨sÀªÀ) «zsÁ£À¢AzÀ ºÉÃUÉ«±Éèö¸ÀĪÀgÀÄ?

7.(b) Describe the principal, construction and working of a cyclotron. Derive the

expression for the maximum kinetic energy (K.E) achieved by a particle of

mass ‘m’ in terms of the applied magnetic field and dee radius. Also state

the relation in terms of the frequency of the applied electric field and its

limitation. [20 Marks]

MAzÀÄ ¸ÉÊPÉÆèÃmÉÆæãï£À vÀvÀÛ÷é, gÀZÀ£É ªÀÄvÀÄÛ PÁAiÀÄðªÀ£ÀÄß «ªÀj¹. ‘m’ gÁ²AiÀÄ MAzÀÄ

PÀtªÀÅ ¸Á¢ü¹gÀĪÀ UÀjµÀ× ZÀ®£À ±ÀQÛUÁV (K.E) C£Àé¬ÄvÀ PÁAvÀPÉëÃvÀæ ªÀÄvÀÄÛ rÃ(CzsÀðªÀÈvÁÛPÁgÀzÀ mÉƼÁîzÀ J¯ÉPÉÆÖçÃqï) wædåUÀ¼À ¥ÀzÀUÀ¼À°è C©üªÀåQÛAiÀÄ£ÀÄß ¤µÀàwÛ¹ºÁUÀÆ CzÀgÀ ¸ÀA§AzsÀªÀ£ÀÄß, C£Àé¬ÄvÀ «zÀÄåvï PÉëÃvÀæzÀ DªÀvÁðAPÀ ¥ÀzÀUÀ¼À°è ªÀÄvÀÄÛCzÀgÀ «ÄwUÀ¼ÉÆA¢UÉ ¤gÀƦ¹.

7.(c) A cyclotron with dee radius 90 cm has a traverse magnetic field of 0.8 Tesla.

Calculate the energies to which (i) a proton and (ii) a deutron are

accelerated. [10 Marks]

MAzÀÄ ¸ÉÊPÉÆèÃmÉÆæãï£À rà (CzsÀðªÀÈvÁÛPÁgÀzÀ mÉƼÁîzÀ J¯ÉPÉÆÖçÃqï) wædåªÀÅ 90cm

EzÀÄÝ CzÀgÉÆA¢UÉ CqÀغÁ¬ÄPÉ PÁAvÀPÉëÃvÀæ 0.8 Tesla ªÀ£ÀÄß ºÉÆA¢zÉ. (i) MAzÀÄ¥ÉÆæÃmÁ£ÀÄ ªÀÄvÀÄÛ (ii) MAzÀÄ qÀÆåmÁæ£ÀÄUÀ¼À£ÀÄß ªÉÃUÉÆÃvÀ̵ÀðUÉƽ¹zÁUÀCªÀÅUÀ½UÉÆzÀV¸À§ºÀÄzÁzÀ ±ÀQÛUÀ¼À£ÀÄß ¯ÉPÀ̪ÀiÁr.

8.(b) What is Zener Diode? Write the circuit symbol of Zener Diode. Explain the

principal of Zener Diode as a voltage regulator. [15 Marks]

jhÄãÀgï zÀéAiÀÄUÀæ JAzÀgÉãÀÄ? jhÄãÀgï zÀéAiÀÄUÀæzÀ ªÀÄAqÀ® ¸ÀAPÉÃvÀªÀ£ÀÄß §gɬÄj.ªÉÇïÉÖÃeï ¤AiÀÄAvÀæPÀªÁV jhÄãÀgï zÀéAiÀÄUÀæzÀ vÀvÀÛ÷éªÀ£ÀÄß «ªÀj¹.

8.(a) Why bridge rectifiers are preferred to other rectifier circuits? Explain the

working of a bridge rectifier circuit with neat diagram. [15 Marks]

¸ÉÃvÀÄ ¢¶ÖPÁjUÀ½UÉ EvÀgÀ ¢¶ÖPÁj ªÀÄAqÀ®QÌAvÀ DzÀåvÉ ¤ÃqÀĪÀÅzÉÃPÉ? ¸ÉÃvÀÄ ¢¶ÖPÁjAiÀÄ PÁAiÀÄð¤ªÀðºÀuÉAiÀÄ£ÀÄß CAzÀªÁzÀ avÀæzÉÆA¢UÉ «ªÀj¹.

8.(c) Explain the terms modulation and demodulation and distinguish between amplitude modulation and frequency modulation. An amplitude modulated radio broadcast transmitter radiates 200kW power with modulation index 75%. Calculate the carrier wave power.

[20 Marks]

ªÀiÁqÀÄå¯ÉõÀ£ï ªÀÄvÀÄÛ rªÀiÁqÀÄå¯ÉõÀ£ï ¥ÀzÀUÀ¼À£ÀÄß «ªÀj¹ ªÀÄvÀÄÛ ¥ÁgÀ («¸ÁÛgÀ) ºÁUÀÆ DªÀvÁðAPÀ ªÀiÁqÀÄå¯ÉõÀ£ïUÀ¼À £ÀqÀĪÀt ªÀåvÁå¸ÀUÀ¼À£ÀÄß w½¹. ¥ÁgÀ («¸ÁÛgÀ) ªÀiÁqÀÄ宣ÀUÉÆAqÀ gÉÃrAiÉÆà ¥Àæ¸ÁgÀ ¥Àæ¸ÀgÀtPÁjAiÀÄ 200kW ±ÀQÛ ¸ÁªÀÄxÀåðªÀ£ÀÄß 75% ¸ÀÆZÀPÀ ªÀiÁqÀÄå¯ÉõÀ£ï£ÉÆA¢UÉ ¥Àæ¸Àj¸ÀÄvÀÛzÉ. ªÁºÀPÀ vÀgÀAUÀ ±ÀQÛ¸ÁªÀÄxÀåðªÀ£ÀÄß ¯ÉPÀ̹.