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Thermal Properties of Matter · Question 33

AIPMT 2009MCQEasy📈 Topic in 38% papers+4−1
1

The two ends of a rod of length L and a uniform cross-sectional area A are kept at two temperatures T1 and T2 (T1 > T2). The rate of heat transfer, dQdt through the rod in a steady state is given by :

  1. dQdt = k(T1 - T2)LA
  2. dQdt = kLA(T1 - T2)
  3. dQdt = kA(T1 - T2)L
  4. dQdt = kL(T1 - T2)A

Answer

(3) dQdt = kA(T1 - T2)L

Solution

As per NCERT, in the steady state the rate of flow of heat through a rod is proportional to the temperature difference and the area of cross-section, and inversely proportional to the length:

dQdt = kA(T1 - T2)L

where k is the thermal conductivity of the material.

Answer: (3)

AIPMT 2009

Keep practising — Thermal Properties of Matter

2

On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are 39 and 239 respectively. What will be the temperature on the new scale, corresponding to a temperature of 39 on the Celsius scale ?

  1. 200
  2. 139
  3. 78
  4. 117
AIPMT 2008
3

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
AIPMT 2007
4

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
5

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
6

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
7

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
8

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
9

Unit of Stefan's constant is

  1. watt m2 K4
  2. watt m2/K4
  3. watt/m2 K
  4. watt/m2K4
AIPMT 2002
10

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
11

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

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