Which of the following circular rods, (given radius r and le

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 Multiple Choice QuestionsMultiple Choice Questions

111.

A steel scale measures the length of a copper wire as 80.0 cm, when both are at 20C, the calibration temperature for the scale. What would the scale read for the length of the rod when both are at 40°C?

Given α for steel = 11 × 10-6 per oC and 

α for Cu = 11×10-6 per oC

  • 80.0096 cm

  • 80.0272 cm

  • 1 cm

  • 25.2 cm


112.

The temperature of the black body increases from T to 2T. The factor by which the rate of emission will increase, is?

  • 4

  • 2

  • 16

  • 8


113.

Two rods of same material have same length and area. The heat ΔQ flows through them for 12 minutes when they are joint side by side. If now both the rods are joined in parallel, then the same amount of heat ΔQ will flow in :

  • 24 min

  • 3 min

  • 12 min

  • 6 min


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114.

Which of the following circular 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?

  • r = 2ro, l = 2lo

  • r = 2ro, l = lo

  • r = ro, l = lo

  • r = ro, l = lo


B.

r = 2ro, l = lo

Heat conduction through a rod is rate of change of heat Qt

H = Qt         = KA T1 - T2l

The rate of heat H is proportional to the temperature difference (T1 - T2) and the area of cross section A and inversely proportional to length L. Here K is called thermal conductivity of the material.

H  r 2la When   r = 2ro, l = 2 lo          H 2ro2lo  H  2 ro2Io

(b) When  r = 2ro, l = lo          H  2ro22lo H   4 ro2lo(c) When   r = ro, l = lo             H  ro2lod  When  r = ro, l = 2lo                  H  ro22lo

it is obvious that heat conduction will be more in case (b).


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115.

The temperature of inversion of a thermocouple is 620°C and the neutral temperature is 300oC, what is the temperature of cold junction?

  • 20o C

  • 320o C

  • -20o C

  • 40o C


116.

Mercury boils at 367oC. However, mercury thermometers are made such that they can measure temperature upto 500oC. This is done by

  • maintaining vacuum above mercury column in the stem of the thermometer

  • filling nitrogen gas at high pressure above the mercury column

  • filling oxygen gas at high pressure above the mercury column

  • filling nitrogen gas at low pressure above the mercury column


117.

Which of the following circular 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?

  • r = 2ro ; l = 2 lo

  • r = 2ro ; l = lo

  • r = ro ; l = lo

  • r = ro ; l = lo


118.

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

  • 2 K

  • 3 K

  • 43 K

  • 23K


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119.

A black body has a wavelength of A at temperature 2000 K. Its corresponding wavelength at temperature 3000 K will be

  • 2λ3

  • 3λ2

  • 4λ9

  • 9λ4


120.

The temperature of the sun can be found out by using

  • Wien's displacement law

  • Kepler's law of motion

  • Stefan's Boltzmann law

  • Planck's law


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