Complete GATE PH 2023 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 64–65 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 22 of 22

Question 64

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PHNAT2 marksNeeds review
Two identical, non-interacting

atoms are distributed among 4 different non-degenerate energy levels. The probability that they occupy different energy levels is

. Similarly, two

atoms are distributed among 4 different non-degenerate energy levels, and the probability that they occupy different levels is

. What is the value of

(rounded off to one decimal place)?

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Question 65

Open question
PHNAT2 marksNeeds review
Two identical bodies kept at temperatures 800 K and 200 K act as the hot and the cold reservoirs of an ideal heat engine, respectively. Assume that their heat capacity (

) in Joules/K is independent of temperature and that they do not undergo any phase change. Then, the maximum work that can be obtained from the heat engine is

Joules. What is the value of

(in integer)?

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