Home
Class 12
CHEMISTRY
Uranium .(92)U^(238) decayed to .(82)Pb^...

Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha, y beta))(rarr ._(82)Pb^(206))`
`t_(1//2)` of `U^(238) = 4.5 xx 10^(9)` years
The analysis of a rock shows the relative number of `U^(238)` and `Pb^(206)` atoms `(Pb//U = 0.25)` The age of rock will be

A

`(2.303)/(0.693) (4.5 xx 10^(9)) log ((5)/(4))`

B

`(2.303)/(0.693) (4.5 xx 10^(9)) log ((1)/(4))`

C

`(2.303)/(0.693) (4.5 xx 10^(9)) log (4)`

D

`(2.303)/(0.639) (4.5 xx 10^(9)) log ((4)/(5))`

Text Solution

Verified by Experts

The correct Answer is:
a
`(Pb)/(U) = 0.25, :. 1 + (Pb)/(U) = 1.25`
`(U + Pb)/(U) = 1.25`
`(N_(0))/(N) = 1.25 = (5)/(4)`
`(0.693)/(t_(1//2)) = (2.303)/(t) log ((N_(0))/(N))`
`(0.693)/(4.5 xx 10^(9)) = (2.303)/(t_("age")) log ((3)/(4))`
`r_("age") = (2.303)/(0.693) (4.5 xx 10^(9)) log ((5)/(4))`
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

Uranium ( ""_(92)U""^(238) ) decayed to ""_(82)Pb""^(206) . The process is ""_(92)U""^(238)underset(xalpha,ybeta)to.""_(82)Pb""^(206) t""_(1//2)of U""^(238)=4.5xx10""^(9) years The analysis of a rock shows the relative number of U""^(238) and Pb""^(206) atoms (Pb/U=0.25). The age of rock will be

Uranium ._(92)U^(238) decayed to ._(82)Pb^(206) . They decay process is ._(92)U^(238) underset((x alpha, y beta))(rarr ._(82)Pb^(206)) t_(1//2) of U^(238) = 4.5 xx 10^(9) years Atomic mass of U^(238) is 238.125 amu. Its packing fraction will be

Uranium ( ""_(92)U""^(238) ) decayed to ""_(82)Pb""^(206) . The process is ""_(92)U""^(238)underset(xalpha,ybeta)to.""_(82)Pb""^(206) t""_(1//2)of U""^(238)=4.5xx10""^(9) years x and y in above decay series are

Uranium ( ""_(92)U""^(238) ) decayed to ""_(82)Pb""^(206) . The process is ""_(92)U""^(238)underset(xalpha,ybeta)to.""_(82)Pb""^(206) t""_(1//2)of U""^(238)=4.5xx10""^(9) years A sample of rock from South America contains equal number of atoms of U""^(238) and Pb""^(""^(206) . The age of the rock will be

._(92) U^(238) overset( n alpha n' beta^(0))(to) ._(82) Pb^(206) find n & n

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

A sample of U^(238) ("half life" = 4.5 xx 10^(9)yr) ore is found to contain 23.8 g" of " U^(238) and 20.6g of Pb^(206) . Calculate the age of the ore

A sample of U^(238) (half-line = 4.5xx10^(9) yr ) ore is found to contain 23.8g of U^(238) and 20.6g of Pb^(206) Calculate the age of the ore.