Complete GATE PH 2018 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 61–63 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 21 of 22

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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PHNAT2 marksNeeds review
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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