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The half life of radioactive isotope ‘X’ is 50 years. It decays to another element ‘Y’ which is stable. The two elements ‘X’ and ‘Y’ were found to be in the ratio of 1 : 15 in a sample of a given rock. The age of the rock was estimated to be
Options
(a) 150 years
(b) 200 years
(c) 250 years
(d) 100 years
Correct Answer:
200 years
Explanation:
Let no. of atoms in X = Nₛ, No. of atoms in Y = Nₜ
By eq. Nₛ / Nₜ = 1/15
Part of Nₛ = 1/16 (Nₛ + Nₜ) = 1/2⁴ (Nₛ + Nₜ)
So, total 4 half lives are passed, so, age of rock is 4 x 50 = 200 years.
Related Questions: - A electric dipole is placed at an angle of 30⁰ to a non-uniform electric field.
- which of the following can not be emitted by radioactive substances during their decay?
- Dispersion of light is caused due to
- If the length of a stretched string is shortened by 4% and the tension is increased
- Alternating current is transmitted to distant places at
Topics: Radioactivity
(83)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A electric dipole is placed at an angle of 30⁰ to a non-uniform electric field.
- which of the following can not be emitted by radioactive substances during their decay?
- Dispersion of light is caused due to
- If the length of a stretched string is shortened by 4% and the tension is increased
- Alternating current is transmitted to distant places at
Topics: Radioactivity (83)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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