Home
Class 12
PHYSICS
In a Moon rock sample the ratio of numbe...

In a Moon rock sample the ratio of number of (stable) `""^(40)Ar` atoms present to the number of (radioactive)`""^(40)K` atoms is 10.3. Assume that all the argon atoms were produced by the decay of potassium atoms, with a half life of `1.25xx10^(9)y`. How old is the rock?

Text Solution

AI Generated Solution

To solve the problem, we need to determine the age of the moon rock based on the ratio of stable argon-40 (Ar) atoms to radioactive potassium-40 (K) atoms. We'll follow these steps: ### Step 1: Understand the given ratio We are given that the ratio of stable argon atoms (N_ar) to radioactive potassium atoms (N_k) is: \[ \frac{N_{Ar}}{N_{K}} = 10.3 \] This implies that for every 10.3 argon atoms, there is 1 potassium atom remaining. ...
Promotional Banner

Topper's Solved these Questions

  • THE NUCLEUS

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|5 Videos

  • THE NUCLEUS

    RESNICK AND HALLIDAY|Exercise PROBLEMS|66 Videos

  • THE KINETIC THEORY OF GASES

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS|72 Videos

  • UNITS AND MEASUREMENT

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MATRIX-MATCH)|11 Videos

Similar Questions

Explore conceptually related problems

Mass spectrometic analysis of potassium and argon atoms in a Moon rock sample shows that the ratio of the number of (stable) .^(40) At atoms present to the number of (radioactive) .^(40)K atoms is 10.3 .Assume that all the argon atoms were produced by the decay of potassium atoms, with a half-life of 1.25 xx 10^(9) yr . How old is the rock ?

Analysis of potassium and argon atoms in a moon rock sample by a mass spectrometer shows that the ratio of the number of stable Ar^(40) atoms present to the number of radioactive K^(40) atoms is 7 : 1 . Assume that all the argon were produced by the decay of potassium atoms, with a half-life of 1.25 xx 10^(9) year. How old is the rock?

In moon rock sample the ratio of the number of stable argon- 40 atoms present to the number of radioactive potassium -40 atoms is 7:1 . Assume that all the argon atoms were produced by the decay of potassium atoms, with a half-life of 2.5xx10^(9)yr . The age of the rock is

.^(238)U decays with a half-life of 4.5 xx10^(9) years, the decay series eventaully ending at .^(206)Pb , which is stable. A rock sample analysis shows that the ratio of the number of atoms of .^(206)Pb to .^(238)U is 0.0058. Assuming that all the .^(206)Pb is prodduced by the decay of .^(238)U and that all other half-lives on the chain are negligilbe, the age of the rock sample is (1n 1.0058 =5.78 xx10^(-3)) .

Samples of two different isotopes, X and Y. Both contain the same number of radioactive atoms. Sample X has a half life twice than that of Y. How do their activities be compared?

The number of U^(238) nuclei in a rock sample equal to the number of Pb^(206) atoms. The half life of U^(238) is 4.5xx10^(9) years. The age of the rock is

For a radioactive sample, determine the ratio of the number of atoms decays of during the first half of its half- life to the number of atoms decays of during the second half of its half cycle.

The half life of radioactive substance is 1.1xx10^7 s. What is the decay rate for 4.4xx10^15 atoms of the substance ?

The half-life of a radioactive sample A is same as the mean life of sample B. The number of atoms present initially in both the samples is same.

In a sample initially there are equal number of atoms of two radioactive isotopes A and B. 3 days later the number of atoms of A is twice that of B. Half life of B is 1.5 days. What is half life of isotope A? (in days)