Activities of three radioactive substances A, B and C are represented by the curves A, B and C in the figure. Then their half lives T₁(A): T₁(B): T₁(C) are in the ratio:
Activities of three radioactive substances A, B and C are represented by the curves A, B and C in the figure. Then their half lives T₁(A): T₁(B): T₁(C) are in the ratio:
Option 1 -
3: 2: 1
Option 2 -
2: 1: 3
Option 3 -
4: 3: 1
Option 4 -
2: 1: 1
Asked by Shiksha User
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1 Answer
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Correct Option - 2
Detailed Solution:ln |R| = ln|R? | - λt
and T? /? ∝ 1/λ
where 'N' is slope
V² = 2gh
h = √2gh
h = -√2gh + gt²/2
gt² - 2√2ght - 2h = 0
t = (2√2gh ± √ (8gh + 8gh)/2g
t = (2√2gh + 4√gh)/2g as cannot be negative.
∴ t = (2 + √2)√ (h/g) → 3.4√ (h/g)
T? /? (A):T? /? (B):T? /? (C) = 10/6 : 5/6 : 5/2 = 2:1:3
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