Half-life 5 days. Fraction remaining after 15 days: MCQ with Answer and Explanation

Half-life 5 days. Fraction remaining after 15 days:
A. 1/8
B. 1/16
C. 1/2
D. 1/3
Answer: Option A
Solution (By JKSSB Mock Tests)
Number of half-lives n = 15/5 = 3. Fraction = (1/2)³ = 1/8. Exponential decay: N = N₀(1/2)^(t/T). Memory aid: 'After n half-lives: fraction = 1/2ⁿ'. Radioactivity calculation frequently tested in competitive exams with simple half-life arithmetic.

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The boiling point of water at high altitude is lower because
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B. Temperature is lower
C. Atmospheric pressure is lower
D. Atmospheric pressure is higher

Correct Answer: Option C


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Question #2
Transformer turns ratio N_p:N_s = 1:5. If V_p = 100V, V_s is:
A. 100V
B. 20V
C. 500V
D. 2500V

Correct Answer: Option C


Explanation:
V_s/V_p = N_s/N_p ⇒ V_s = 100×(5/1) = 500V. Step-up transformer increases voltage. Memory aid: 'Turns ratio = voltage ratio; current ratio inverse'. Direct transformer formula application frequently tested in competitive exams with ratio calculations.

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The gravitational constant G has dimensions
A. [ML²T⁻²]
B. [M⁻¹L³T⁻²]
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Correct Answer: Option B


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