Home
Class 12
CHEMISTRY
A sample of rock moon contains equal num...

A sample of rock moon contains equal numbers of atoms of uranium and lead `t_(1//2)` for `U` is `4.5 xx 10^(9)` years. The age of rock would be
a. `4.5 xx 10^(9)` years b. `9.0 xx 10^(9)` years
c. `13.5 xx 10^(9)` years d. `2.25 xx 10^(9)` years

A

`1.5 xx 10^(9)` years

B

`2.25 xx 10^(9)` years

C

`4.5 xx 10^(9)` years

D

`9 xx 10^(9)` years

Text Solution

Verified by Experts

The correct Answer is:
d
`(0.693)/(t_(1//2)U^(238)) = (2.303)/(t_("age")) log ((N_(0))/(N))`
`(0.693)/(4.5 xx 10^(9)) = (2.303)/(t_("age")) log_(10) ((4)/(1))`
Promotional Banner

Topper's Solved these Questions

  • RADIOACTIVITY AND NUCLEAR TRANSFORMATION

    OP TANDON|Exercise Example|53 Videos

  • RADIOACTIVITY AND NUCLEAR TRANSFORMATION

    OP TANDON|Exercise Problem Practices|44 Videos

  • ORGANIC COMPOUNDS CONTAINING NITROGEN

    OP TANDON|Exercise Single integer|8 Videos

  • SATURATED ALIPHATIC HYDROCARBONS

    OP TANDON|Exercise SINGLE INTEGER ANSWER TYPE QUESTIONS|7 Videos

Similar Questions

Explore conceptually related problems

A sample of rock from moon contains equal number of atoms of uranium and lead (t""_(1//2)for U=4.5xx10""^(9) year). The age of the rock would be

A radioactive element has half life of 4.5 xx 10^(9) years. If 80 g of this was taken, the time taken for it to decay to 40 g will be a. 2.25 xx 10^(9) years b. 4.50 xx 10^(9) years c. 6.75 xx 10^(9) years d. 8.75 xx 10^(9) years

A sample of rock from moon contains atoms of uranium and lead in the ration 1:3. Then age of rock will be (t_(1//2)"for uranium"=4xx10^(10)years) :

A rock is found to contain U-238 and Pb-206 in the ratio of 3 : 2. If t""_(1//2) of U-238 is 4.5xx10""^(-9) years. Calculate the age rock?

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

Radium has atomic weight 226 and half life of 1600 years. The number of disintegrationsd produced per second from one gram is a. 4.8 xx 10^(10) b. 3.7 xx 10^(20) c. 9.2 xx 10^(6) d. 3.7 xx 10^(8)

A radoactive sample of ^(238)U decay to pb through a process for which the half is 4.5 xx 10^(9) year Find the rate of number of nuclei of pb to ^(238)U after a time of 1.5 xx 10^(9) year Given (2)^(19)= 1.26