Complete GATE GG-1 2025 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

Open question
GGNAT2 marksNeeds review

Th and

Ra are intermediate nuclides in the decay series of

U to

Pb. The half-lives of

U,

Th, and

Ra are 4.47 billion years, 75,000 years, and 1600 years, respectively. At secular equilibrium, when activities are equal, 10 billion atoms of

U are present. The number of atoms of

Ra present at equilibrium is __________. (Answer in integer)

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Question 65

Open question
GGNAT2 marksNeeds review
The following table provides the mineral chemistry of a garnet. All oxides are in weight percentage and cations in atoms per formula unit. Total oxygen is taken as 12 based on the ideal garnet formula. Consider Fe as Fe

and Fe

= 0. The X

of this garnet is __________.
Oxides
Wt %
Cations
apfu
SiO

39.51
Si
2.998
TiO

0.05
Ti
0.003
Al

O

22.35
Al
1.999
Cr

O

0.00
Cr
0.000
FeO
26.25
Fe
1.66
MnO
0.00
Mn
0.000
MgO
10.80
Mg
1.21
CaO
1.40
Ca
0.114
Na

O
0.00
Na
0.000
K

O
0.00
K
0.000
Total
100.36
Total cation
8.01
(Round off to three decimal places and do not multiply by hundred)

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