Physics
2021 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE PH 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.
Question 48
Open questionPHNAT2 marksNeeds review
The Coulomb energy component in the binding energy of a nucleus is 18.432 MeV. If the radius of the uniform and spherical charge distribution in the nucleus is 3 fm, the corresponding atomic number (rounded off to the nearest integer) is _____.
(Given:
MeV fm)Log in to check the answer
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Open questionPHNAT2 marksNeeds review
For a two-nucleon system in spin singlet state, the spin is represented through the Pauli matrices
for particles 1 and 2, respectively.
The value of
(in integer) is _____.Log in to check the answer
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Open questionPHNAT2 marksNeeds review
A contour integral is defined as
where
is a positive integer and
is the closed contour, as shown in the figure, consisting of the line from −100 to 100 and the semicircle traversed in the counter-clockwise sense.The value of
(in integer) is _____. 
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