Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Question 51

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An air-conditioner maintains the room temperature at 27 °C while the outside temperature is 47 °C. The heat conducted through the walls of the room from outside to inside due to temperature difference is 700 W. The minimum work done by the compressor of the air-conditioner per unit time is ______ W.

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Question 52

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Two solid spheres A and B have same emissivity. The radius of A is four times the radius of B, and temperature of A is twice the temperature of B. The ratio of the rate of heat radiated from A to that from B is ______.

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Question 53

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The partition function of an ensemble at a temperature

is

where

is the Boltzmann constant. The heat capacity of this ensemble at

is

, where the value of X is ______ (up to one decimal place).

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Question 54

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An atom in its singlet state is subjected to a magnetic field. The Zeeman splitting of its 650 nm spectral line is 0.03 nm. The magnitude of the field is ______ Tesla (up to two decimal places).
(

)

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Question 55

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The quantum effects in an ideal gas become important below a certain temperature

when de Broglie wavelength corresponding to the root mean square thermal speed becomes equal to the inter-atomic separation. For such a gas of atoms of mass

kg and number density

,

(up to one decimal place).\n\n(

)

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