The half-life of a radioactive isotope is 10 days. What fraction of the original sample remains after 30 days? MCQ with Answer and Explanation

The half-life of a radioactive isotope is 10 days. What fraction of the original sample remains after 30 days?
A. 1/3
B. 1/8
C. 1/2
D. 1/4
Answer: Option B
Solution (By JKSSB Mock Tests)
After each half-life, half of the remaining atoms decay. Number of half-lives n = total time / half-life = 30/10 = 3. Fraction remaining = (1/2)ⁿ = (1/2)³ = 1/8. Thus 12.5% remains. Radioactive decay follows first-order kinetics. Exam trick: fraction remaining = (0.5)^(t/T), where T is half-life. After 4 half-lives, 1/16 remains.

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During the interconversion of states, which property remains constant?
A. Mass
B. Shape
C. Density
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Correct Answer: Option A


Explanation:
According to the law of conservation of mass, the mass of a substance remains constant during any physical change, including the interconversion of states. Density, volume, and shape change as the intermolecular spaces and arrangement alter during phase transitions, but the total number of atoms and mass is conserved.

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Correct Answer: Option C


Explanation:
Solder is an alloy primarily used for welding electrical components and pipes. It is traditionally composed of lead (Pb) and tin (Sn), typically in a 60:40 or 50:50 ratio. Brass is copper and zinc, bronze is copper and tin, and duralumin is an alloy of aluminum, copper, magnesium, and manganese.

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Question #3
Consider the following statements: 1. A buffer solution resists changes in pH upon adding small amounts of acid or base. 2. A buffer is made of a strong acid and its conjugate base. Which is/are correct?
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Correct Answer: Option C


Explanation:
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