If half-life of an element is 2 days, after 6 days fraction left is: MCQ with Answer and Explanation

If half-life of an element is 2 days, after 6 days fraction left is:
A. 1/8
B. 1/4
C. 1/16
D. 1/2
Answer: Option A
Solution (By JKExamLibrary)
6/2 = 3 half-lives. Fraction = (1/2)³ = 1/8. Each half-life reduces remaining amount by half.

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Question #1
In the extraction of aluminium from bauxite, the reagent used to remove silica as an impurity is:
A. Cl₂
B. CO
C. HCl
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Correct Answer: Option D


Explanation:
Bauxite contains SiO₂ (silica) as impurity. In the Bayer's process, powdered bauxite is treated with hot concentrated NaOH solution. Alumina dissolves forming sodium aluminate (NaAlO₂), while silica does not dissolve and is filtered off. Alternatively, silica can be removed by adding lime during refining. The purified alumina is then electrolyzed in cryolite. NaOH selectively dissolves Al₂O₃ due to its amphoteric nature.

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Question #2
The valency of nitrogen in NO₂ is:
A. 4
B. 2
C. 5
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Correct Answer: Option A


Explanation:
In NO₂, each oxygen has valency 2; with two oxygens, total combining capacity = 4. Thus nitrogen's covalency is 4. The structure involves a coordinate bond. Oxidation state of N is +4. Valency is number of bonds formed: N forms two single bonds and one coordinate bond with O, total 4 bonds. In NO, valency is 2.

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Question #3
Atomic number of sodium is 11. Its electronic configuration is:
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Correct Answer: Option B


Explanation:
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