Physics
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PH 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.
Question 52
Open questionPHMSQ2 marksNeeds review
Consider operators
,
, and
for three observables of a quantum system satisfying
,
, and
, with uncertainties
,
,
, respectively. From the options given below, which is/are implied by the commutation relations among
,
, and
?Your answerSelect all correct options. You can choose more than one.
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Open questionPHMSQ2 marksNeeds review
Consider the distribution of outcomes generated by
(
) independent throws of (i) a coin or (ii) a six-sided dice. A coin (dice) is unbiased if (all) its sides have equal probability to show up in a throw; it is biased otherwise. For the cases (i) and (ii) above, which of the following statements is/are true?Your answerSelect all correct options. You can choose more than one.
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Open questionPHMSQ2 marksNeeds review
The dispersion (
) of the conduction band (CB) and valence band (VB) for a semiconductor are shown schematically in the figure. Considering the possibility of an electron making a transition from the bottom of the CB to the top of the VB, which of the following options is/are correct? 
Your answerSelect all correct options. You can choose more than one.
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