The half-life of a radioactive substance is 10 days. After 30 days, the fraction decayed is MCQ with Answer and Explanation

The half-life of a radioactive substance is 10 days. After 30 days, the fraction decayed is
A. 2/3
B. 1/3
C. 1/8
D. 7/8
Answer: Option D
Solution (By JKSSB Mock Tests)
3 half-lives, remaining = 1/8, decayed = 7/8.

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Practice More Physics Questions

Question #1
The sound of thunder is heard after the flash of lightning because
A. Light travels much faster than sound
B. Sound travels faster than light
C. Light travels slower than sound
D. Both travel at same speed

Correct Answer: Option A


Explanation:
Speed of light ≈ 3×10⁸ m/s, sound ≈ 340 m/s. Light reaches almost instantly, sound takes time. So thunder heard after lightning. Time delay gives distance: d = v_sound × t.

This question belongs to: Science Physics
Question #2
The refractive index of water is 4/3. The speed of light in water is:
A. 4×10⁸ m/s
B. 1.5×10⁸ m/s
C. 2.25×10⁸ m/s
D. 3×10⁸ m/s

Correct Answer: Option C


Explanation:
Refractive index n = c/v, where c = 3×10⁸ m/s (speed in vacuum). Thus v = c/n = (3×10⁸)/(4/3) = 3×10⁸ × 3/4 = 9/4 × 10⁸ = 2.25×10⁸ m/s. This direct formula application is fundamental in optics. Memory aid: 'Higher n ⇒ slower light in medium'. Competitive exams frequently test this calculation with common refractive indices (water 4/3, glass ~1.5). Always use c = 3×10⁸ m/s unless specified otherwise, and ensure unit consistency (m/s here).

This question belongs to: Science Physics
Question #3
A ship floats because its density is
A. Less than water on average
B. Greater than water
C. Equal to water
D. Zero

Correct Answer: Option A


Explanation:
Ship is made of steel (density > water) but hollow shape makes average density (including air) less than water. Displaced water weight equals ship's weight, buoyancy holds it up.

This question belongs to: Science Physics