A radio isotope X with a half life 1.4 x 10⁹ years decays to Y which is stable

A Radio Isotope X With A Half Life 14 X Physics Question

A radio isotope X with a half life 1.4 x 10⁹ years decays to Y which is stable. A sample of the rock from a cave was found to contain X and Y in the ratio 1:7. The age of the rock is

Options

(a) 1.96 x 10⁹ years
(b) 3.92 x 10⁹ years
(c) 4.20 x 10⁹ years
(d) 8.40 x 10⁹ years

Correct Answer:

4.20 x 10⁹ years

Explanation:

No explanation available. Be the first to write the explanation for this question by commenting below.

Related Questions:

  1. Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube.
  2. A force of 5 N is acting on an object. Displacement of object is 10 m and the work done
  3. A cell can be balanced against 110 cm and 100 cm of potentiometer wire, respectively
  4. For photoelectric emission to take place
  5. Which of the following is not a transverse wave?

Topics: Atoms and Nuclei (136)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

1 Comment on A radio isotope X with a half life 1.4 x 10⁹ years decays to Y which is stable

  1. X/Y=1/7
    Y=7X
    Let the initial atoms be N.
    Then,
    X+Y=N
    X+7X=N
    8X=N
    X=N/8
    Hence, the final atoms be N/8.
    N/8/N=(1/2)^n
    (1/8)^3=(1/2)^n
    n=3
    Then, t=n×T1/2
    t=3×1.4×10^9

    t=4.2×10^9

Leave a Reply

Your email address will not be published.


*