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Thermal Properties of Matter · Question 35

AIPMT 2007MCQMedium📈 Topic in 0% papers+4−1
1

Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature t C, the power received by a unit surface, (normal to the incident rays) at a distance R from the centre of the sun is where is the Stefan's constant.

  1. r2 (t+273)44 2
  2. 16 2r2 4R2
  3. r2 (t+273)4R2
  4. 4 2 4R2

Answer

(3) r2 (t+273)4R2

Solution

Absolute temperature of the sun's surface: T = (t + 273) K

By Stefan's law, power radiated by the sun (black body):

P = A T4 = 4 r2 (t+273)4

At a distance R this power is spread uniformly over a sphere of area 4 2.

Power received per unit area = P4 2

= 4 2 (t+273)44 2

= r2 (t+273)4R2

Answer: (3)

AIPMT 2007

Keep practising — Thermal Properties of Matter

2

A black body is at 727 . It emits energy at a rate which is proportional to

  1. (1000)4
  2. (1000)2
  3. (727)4
  4. (727)2
AIPMT 2007
3

A black body at 1227 emits radiations with maximum intensity at a wavelength of 5000 A. If the temperature of the body is increased by 1000 , the maximum intensity will be observed at

  1. 3000 A
  2. 4000 A
  3. 5000 A
  4. 6000 A
AIPMT 2006
4

Which of the following rods, (given radius r and length l) each made of the same material and whose ends are maintained at the same temperature will conduct most heat?

  1. r = r0, l = l0
  2. r = 2r0, l = l0
  3. r = r0, l = 2l0
  4. r = 2r0, l = 2l0
AIPMT 2005
5

If m denotes the wavelength at which the radiative emission from a black body at a temperature T K is maximum, then

  1. m T4
  2. m is independent of T
  3. m T
  4. m T-1
AIPMT 2004
6

Consider a compound slab consisting of two different materials having equal thicknesses and thermal conductivities K and 2K, respectively. The equivalent thermal conductivity of the slab is

  1. 23K
  2. 2K
  3. 3K
  4. 43K
AIPMT 2003
7

Unit of Stefan's constant is

  1. watt m2 K4
  2. watt m2/K4
  3. watt/m2 K
  4. watt/m2K4
AIPMT 2002
8

Consider two rods of same length and different specific heats (S1, S2), conductivities (K1, K2) and area of cross-sections (A1, A2) and both having temperatures T1 and T2 at their ends. If rate of loss of heat due to conduction is equal, then

  1. K1A1 = K2A2
  2. K1A1S1 = K2A2S2
  3. K2A1 = K1A2
  4. K2A1S2 = K1A2S1
AIPMT 2002
9

For a black body at temperature 727 , its radiating power is 60 watt and temperature of surrounding is 227 . If temperature of black body is changed to 1227 then its radiating power will be

  1. 304 W
  2. 320 W
  3. 240 W
  4. 120 W
AIPMT 2002
10

Which of the following is closest to an ideal black body?

  1. lamp black
  2. cavity maintained at constant temperature
  3. platinum black
  4. a lump of charcoal heated to high temperature.
AIPMT 2002
11

The Wien's displacement law expresses relation between

  1. wavelength corresponding to maximum energy and temperature
  2. radiation energy and wavelength
  3. temperature and wavelength
  4. colour of light and temperature.
AIPMT 2002

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