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The decay constant of a radio isotope is λ. If A₁ and A₂ are its activities at time t₁ and t₂ respectively, the number of nuclei which have decayed during the time (t₁ – t₂):
Options
(a) λ (A₁ – A₂)
(b) A₁t₁ -A₂t₂
(c) A₁ – A₂
(d) (A₁ – A₂) / λ
Correct Answer:
(A₁ – A₂) / λ
Explanation:
Activity is given by A = dN/ dt = -λN
Activity at time t₁ is A₁ = – λN₁
and activity at time t₂ is A₂ = -1 N₂ as t₁ > t₂ therefore, number of atoms remained after time t₁ is less than that remained after time t₂.
That is, N₁ < N₂. number of nuclei decayed in (t₁ - t₂)
= N₂ - N₁ = (A₁ - A₂) / λ
Related Questions: - Two similar springs P and Q have spring constants Kp and Kq, such that Kp>Kq.
- Two identical long conducting wires AOB and COD are placed at right angle
- Three fourth of the active material decays in a radioactive sample in 3/4 sec
- 540 g of ice at 0° C is mixed with 540 g of water at 80° C. The final temperature
- The wavelength of the first line of Lymasn series for hydrogen atom is equal
Topics: Atoms and Nuclei
(136)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Two similar springs P and Q have spring constants Kp and Kq, such that Kp>Kq.
- Two identical long conducting wires AOB and COD are placed at right angle
- Three fourth of the active material decays in a radioactive sample in 3/4 sec
- 540 g of ice at 0° C is mixed with 540 g of water at 80° C. The final temperature
- The wavelength of the first line of Lymasn series for hydrogen atom is equal
Topics: Atoms and Nuclei (136)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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