33 Years NEET-AIPMT Chapterwise Solutions - Physics 2020
All previous year questions , and these are downloaded from the sources in the internet. I don't own these resources and these are copyrighted by MTG. All previous year questions , and these are downloaded from the sources in the internet. I don't own these resources and these are copyrighted by MTG.
Thermal Properties of MatterTelegram @unacademyplusdiscounts8523. If the radius of a star is R and it acts as a black body,what would be the temperature of the star, in whichthe rate of energy production is Q?(a)(c)Q24πRσ14 /⎛ 24πRQ⎞⎝⎜σ ⎠⎟(b)(d)− 12 /⎛ Q ⎞⎝⎜ 24πRσ⎠⎟14 /⎛ Q ⎞⎝⎜ 24πRσ⎠⎟(s stands for Stefan’s constant) (2012 )24. A slab of stone of area 0.36 m 2 and thickness 0.1 mis exposed on the lower surface to steam at 100°C. Ablock of ice at 0°C rests on the upper surface of theslab. In one hour 4.8 kg of ice is melted. The thermalconductivity of slab is(Given latent heat of fusion of ice = 3.36 × 10 5 J kg –1 )(a) 1.24 J/m/s/°C (b) 1.29 J/m/s/°C(c) 2.05 J/m/s/°C (d) 1.02 J/m/s/°C (Mains 2012)25. A cylindrical metallic rod in thermal contact withtwo reservoirs of heat at its two ends conducts anamount of heat Q in time t. The metallic rod ismelted and the material is formed into a rod of halfthe radius of the original rod. What is the amountof heat conducted by the new rod, when placed inthermal contact with the two reservoirs in time t?(a) Q Q(b) (c) 2Q (d) Q 4 162 (2010)26. The total radiant energy per unit area, normal tothe direction of incidence, received at a distance Rfrom the centre of a star of radius r, whose outersurface radiates as a black body at a temperatureT K is given by(a) σrT 2 4(b) σ 2 4rT2R24πR4 4σr T(c)(d) 4 2 4πσr T4R2R(where s is Stefan’s constant)(2010)27. Assuming the sun to have a spherical outer surfaceof radius r, radiating like a black body at temperaturet°C, the power received by a unit surface, (normal tothe incident rays) at a distance R from the centre ofthe sun is(a) r 2 t 4σ( + 273)(b) 16 π 2 r2 σt4224πRR(c)2 4r σ( t+273)(d) 4 2 4πr σt22RR(where s is the Stefan’s constant.) (2010, 2007)28. A black body at 227°C radiates heat at the rate of7 cals/cm 2 s. At a temperature of 727°C, the rate ofheat radiated in the same units will be(a) 50 (b) 112(c) 80 (d) 60 (2009)29. The two ends of a rod of length L and a uniformcross-sectional area A are kept at two temperaturesT 1 and T 2 (T 1 > T 2 ). The rate of heat transfer, dQdt ,through the rod in a steady state is given by(a) dQ k( T1 − T2 )=(b) dQ = kLA( T1 −T2)dt LA dt(c)dQdtkA ( T1 − T2)=L(d) dQdtkL ( T1 − T2)=A (2009)30. A black body is at 727°C. It emits energy at a ratewhich is proportional to(a) (1000) 4 (b) (1000) 2(c) (727) 4(d) (727) 2 (2007)31. A black body at 1227°C emits radiations withmaximum intensity at a wavelength of 5000 Å. If thetemperature of the body is increased by 1000°C, themaximum intensity will be observed at(a) 3000 Å (b) 4000 Å(c) 5000 Å (d) 6000 Å. (2006)32. Which of the following rods, (given radius r andlength l) each made of the same material and whoseends are maintained at the same temperature willconduct most heat?(a) r = r 0 , l = l 0 (b) r = 2r 0 , l = l 0(c) r = r 0 , l = 2l 0 (d) r = 2r 0 , l = 2l 0 .(2005)33. If l m denotes the wavelength at which the radiativeemission from a black body at a temperature T K ismaximum, then(a) l m ∝ T 4(b) l m is independent of T(c) l m ∝T(d) l m ∝ T –1 (2004)34. Consider a compound slab consisting of twodifferent materials having equal thicknesses andthermal conductivities K and 2K, respectively. Theequivalent thermal conductivity of the slab is2(a)3 K (b) 2 K (c) 3 K (d) 4 3 K (2003)35. Unit of Stefan’s constant is(a) watt m 2 K 4 (b) watt m 2 /K 4(c) watt/m 2 K (d) watt/m 2 K 4 (2002)36. Consider two rods of same length and differentspecific heats (S 1 , S 2 ), conductivities (K 1 , K 2 ) andarea of cross-sections (A 1 , A 2 ) and both havingtemperatures T 1 and T 2 at their ends. If rate of loss ofheat due to conduction is equal, then
Telegram @unacademyplusdiscounts86 NEET-AIPMT Chapterwise Topicwise Solutions Physics(a) K 1 A 1 = K 2 A 2(c) K 2 A 1 = K 1 A 2(b) KA 1 1 K2A2=S1S2(d) K 2 A 1 KA 1 2= .S2S1(2002)37. For a black body at temperature 727°C, its radiatingpower is 60 watt and temperature of surrounding is227°C. If temperature of black body is changed to1227°C then its radiating power will be(a) 304 W(b) 320 W(c) 240 W (d) 120 W (2002)38. Which of the following is best close to an ideal blackbody?(a) black lamp(b) cavity maintained at constant temperature(c) platinum black(d) a lump of charcoal heated to high temperature. (2002)39. The Wien’s displacement law express relationbetween(a) wavelength corresponding to maximum energyand temperature(b) radiation energy and wavelength(c) temperature and wavelength(d) colour of light and temperature.(2002)40. A cylindrical rod having temperature T 1 and T 2 atits end. The rate of flow of heat Q 1 cal/sec. If all thelinear dimension are doubled keeping temperatureconstant, then rate of flow of heat Q 2 will be(a) 4Q 1 (b) 2Q 1(c) Q 1 /4(d) Q 1 /2(2001)41. A black body has maximum wavelength l m at2000 K. Its corresponding wavelength at 3000 K will be3(a)2 λ m (b) 2 3 λ m(c) 1681 λ m (d) 8116 λ m (2000)42. The radiant energy from the sun, incidentnormally at the surface of earth is20 kcal/m 2 min. What would have been the radiantenergy, incident normally on the earth, if the sunhad a temperature, twice of the present one?(a) 320 kcal/m 2 min (b) 40 kcal/m 2 min(c) 160 kcal/m 2 min (d) 80 kcal/m 2 min(1998)43. A black body is at a temperature of 500 K. It emitsenergy at a rate which is proportional to(a) (500) 3 (b) (500) 4(c) 500 (d) (500) 2 (1997)44. Heat is flowing through two cylindrical rods of thesame material. The diameters of the rods are in theratio 1 : 2 and the lengths in the ratio 2 : 1. If thetemperature difference between the ends is same,then ratio of the rate of flow of heat through themwill be(a) 2 : 1 (b) 8 : 1 (c) 1 : 1 (d) 1 : 8 (1995)45. If the temperature of the sun is doubled, the rateof energy recieved on earth will be increased by afactor of(a) 2 (b) 4 (c) 8 (d) 16(1993)11.10 Newton’s Law of Cooling46. A body cools from a temperature 3T to 2T in10 minutes. The room temperature is T. Assumethat Newton’s law of cooling is applicable. Thetemperature of the body at the end of next10 minutes will be7(a)4 T 3(b)2 T 4(c)3 T (d) T (NEET-II 2016)47. Certain quantity of water cools from 70°C to 60°C inthe first 5 minutes and to 54°C in the next 5 minutes.The temperature of the surroundings is(a) 45°C (b) 20°C (c) 42°C (d) 10°C (2014)48. A beaker full of hot water is kept in a room. If it coolsfrom 80°C to 75°C in t 1 minutes, from 75°C to 70°Cin t 2 minutes and from 70°C to 65°C in t 3 minutes,then(a) t 1 < t 2 < t 3 (b) t 1 > t 2 > t 3(c) t 1 = t 2 = t 3 (d) t 1 < t 2 = t 3 . (1995)ANSWER KEY1. (d) 2. (c) 3. (c) 4. (a) 5. (b) 6. (d) 7. (a) 8. (a) 9. (d) 10. (b)11. (a) 12. (d) 13. (a) 14. (a) 15. (b) 16. (c) 17. (d) 18. (c) 19. (b) 20. (b)21. (d) 22. (a) 23. (d) 24. (a) 25. (b) 26. (a) 27. (c) 28. (b) 29. (c) 30. (a)31. (a) 32. (b) 33. (d) 34. (a) 35. (d) 36. (a) 37. (b) 38. (b) 39. (a) 40. (b)41. (b) 42. (a) 43. (b) 44. (d) 45. (d) 46. (b) 47. (a) 48. (a)
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86 NEET-AIPMT Chapterwise Topicwise Solutions Physics
(a) K 1 A 1 = K 2 A 2
(c) K 2 A 1 = K 1 A 2
(b) KA 1 1 K2A2
=
S1
S2
(d) K 2 A 1 KA 1 2
= .
S2
S1
(2002)
37. For a black body at temperature 727°C, its radiating
power is 60 watt and temperature of surrounding is
227°C. If temperature of black body is changed to
1227°C then its radiating power will be
(a) 304 W
(b) 320 W
(c) 240 W (d) 120 W (2002)
38. Which of the following is best close to an ideal black
body?
(a) black lamp
(b) cavity maintained at constant temperature
(c) platinum black
(d) a lump of charcoal heated to high temperature.
(2002)
39. The Wien’s displacement law express relation
between
(a) wavelength corresponding to maximum energy
and temperature
(b) radiation energy and wavelength
(c) temperature and wavelength
(d) colour of light and temperature.(2002)
40. A cylindrical rod having temperature T 1 and T 2 at
its end. The rate of flow of heat Q 1 cal/sec. If all the
linear dimension are doubled keeping temperature
constant, then rate of flow of heat Q 2 will be
(a) 4Q 1 (b) 2Q 1
(c) Q 1 /4
(d) Q 1 /2(2001)
41. A black body has maximum wavelength l m at
2000 K. Its corresponding wavelength at 3000 K will be
3
(a)
2 λ m (b) 2 3 λ m
(c) 16
81 λ m (d) 81
16 λ m (2000)
42. The radiant energy from the sun, incident
normally at the surface of earth is
20 kcal/m 2 min. What would have been the radiant
energy, incident normally on the earth, if the sun
had a temperature, twice of the present one?
(a) 320 kcal/m 2 min (b) 40 kcal/m 2 min
(c) 160 kcal/m 2 min (d) 80 kcal/m 2 min
(1998)
43. A black body is at a temperature of 500 K. It emits
energy at a rate which is proportional to
(a) (500) 3 (b) (500) 4
(c) 500 (d) (500) 2 (1997)
44. Heat is flowing through two cylindrical rods of the
same material. The diameters of the rods are in the
ratio 1 : 2 and the lengths in the ratio 2 : 1. If the
temperature difference between the ends is same,
then ratio of the rate of flow of heat through them
will be
(a) 2 : 1 (b) 8 : 1 (c) 1 : 1 (d) 1 : 8 (1995)
45. If the temperature of the sun is doubled, the rate
of energy recieved on earth will be increased by a
factor of
(a) 2 (b) 4 (c) 8 (d) 16(1993)
11.10 Newton’s Law of Cooling
46. A body cools from a temperature 3T to 2T in
10 minutes. The room temperature is T. Assume
that Newton’s law of cooling is applicable. The
temperature of the body at the end of next
10 minutes will be
7
(a)
4 T 3
(b)
2 T 4
(c)
3 T (d) T
(NEET-II 2016)
47. Certain quantity of water cools from 70°C to 60°C in
the first 5 minutes and to 54°C in the next 5 minutes.
The temperature of the surroundings is
(a) 45°C (b) 20°C (c) 42°C (d) 10°C (2014)
48. A beaker full of hot water is kept in a room. If it cools
from 80°C to 75°C in t 1 minutes, from 75°C to 70°C
in t 2 minutes and from 70°C to 65°C in t 3 minutes,
then
(a) t 1 < t 2 < t 3 (b) t 1 > t 2 > t 3
(c) t 1 = t 2 = t 3 (d) t 1 < t 2 = t 3 . (1995)
ANSWER KEY
1. (d) 2. (c) 3. (c) 4. (a) 5. (b) 6. (d) 7. (a) 8. (a) 9. (d) 10. (b)
11. (a) 12. (d) 13. (a) 14. (a) 15. (b) 16. (c) 17. (d) 18. (c) 19. (b) 20. (b)
21. (d) 22. (a) 23. (d) 24. (a) 25. (b) 26. (a) 27. (c) 28. (b) 29. (c) 30. (a)
31. (a) 32. (b) 33. (d) 34. (a) 35. (d) 36. (a) 37. (b) 38. (b) 39. (a) 40. (b)
41. (b) 42. (a) 43. (b) 44. (d) 45. (d) 46. (b) 47. (a) 48. (a)