A radioactive substance decays to 1/16th of its original mass in 20 days. Half-life is MCQ with Answer and Explanation

A radioactive substance decays to 1/16th of its original mass in 20 days. Half-life is
A. 10 days
B. 5 days
C. 2 days
D. 4 days
Answer: Option B
Solution (By JKSSB Mock Tests)
(1/2)^n = 1/16 => n=4 half-lives in 20 days => half-life = 5 days.

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Practice More Physics Questions

Question #1
The binding energy per nucleon is maximum for:
A. Helium
B. Uranium
C. Hydrogen
D. Iron

Correct Answer: Option D


Explanation:
Binding energy per nucleon peaks around iron-56 (≈8.8 MeV/nucleon), making it the most stable nucleus. Lighter nuclei release energy via fusion; heavier via fission. Hydrogen has near-zero binding energy per nucleon; uranium ≈7.6 MeV/nucleon. Memory aid: 'Iron peak: most stable nucleus; fusion before, fission after'. This nuclear physics concept is frequently tested in competitive exams. Always link binding energy curve to energy release in stars (fusion) and reactors (fission).

This question belongs to: Science Physics
Question #2
A wire of resistance R is cut into three equal parts. These parts are then connected in parallel. The equivalent resistance is
A. R/3
B. R
C. 3R
D. R/9

Correct Answer: Option D


Explanation:
Each part resistance = R/3. Three such in parallel: 1/R_eq = 3/(R/3) = 9/R => R_eq = R/9. For n equal parts cut and connected parallel, R_eq = R/n².

This question belongs to: Science Physics
Question #3
The prefix 'Peta' in the SI system represents which power of 10?
A. 10^18
B. 10^9
C. 10^15
D. 10^12

Correct Answer: Option C


Explanation:
In the SI system of prefixes, 'Peta' stands for 10^15. Other common large prefixes include Kilo (10^3), Mega (10^6), Giga (10^9), Tera (10^12), and Exa (10^18). It's crucial to memorize both positive and negative powers (like nano, pico, femto) for competitive exams.

This question belongs to: Science Physics