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In an ofd rock, the mass ratio of .(92)^...

In an ofd rock, the mass ratio of `._(92)^(238)U` to `._(82)^(206)Pb` is formed to be 595:103. The age of the rock is (Mean life of `._(92)^(238)U` is `T_(0)`) :

A

`T_(0)` In 1.2

B

`T_(0)` In `(698)/(595)`

C

`T_(0) (In 1.2)/(In 2)`

D

`T_(0) (In (698)/(595))/(In 2)`

Text Solution

Verified by Experts

The correct Answer is:
b
`lambda = (2.303)/(t) log ((N_(0))/(N))`
`(1)/(T_(0)) = (1)/(t) In ((595 + 103)/(595))`
`t = T_(0) In ((698)/(595))`
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In a smaple of rock, the ration .^(206)Pb to .^(238)U nulei is found to be 0.5. The age of the rock is (given half-life of U^(238) is 4.5 xx 10^(9) years).

(a) On analysis a sample of uranium ore was found to contian 0.277g of ._(82)Pb^(206) and 1.667g of ._(92)Pb^(206) and 1.667g of ._(92)U^(238) . The half life period of U^(238) is 4.51xx10^(9) year. IF all the lead were assumed to have come from decay of ._(92)U^(238) , What is the age of earth? (b) An ore of ._(92)U^(238) is found to contain ._(92)U^(238) and ._(82)Pb^(206) in the weight ratio of 1: 0.1 The half-life period of ._(92)U^(238) is 4.5xx10^(9) year. Caluculate the age of ore.

What is the percentage of ""_(92) U ^(235) in ""_(92) U ^(238) ?

._(92)U^(238) is radioactive and it emits alpha and beta particles to form ._(82)Pb^(206). Calculate the number of alpha and beta particles emitted in this conversion. An ore of ._(92)U^(238) is found ot contain ._(92)U^(238) and _(82)Pb^(206) in the weight ratio of 1: 0.1. The half- life -period of ._(92)U^(238) is 4.5xx 10^(9) yr. Calculate the age of the ore.

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How many moles of helium are produced when one mole of ._(92)^(238)U disintegrates into ._(82)^(206)Pb ?

A rock is 1.5 xx 10^(9) years old. The rock contains .^(238)U which disintegretes to form .^(236)U . Assume that there was no .^(206)Pb in the rock initially and it is the only stable product fromed by the decay. Calculate the ratio of number of nuclei of .^(238)U to that of .^(206)Pb in the rock. Half-life of .^(238)U is 4.5 xx 10^(9). years. (2^(1//3)=1.259) .

In the nuclear reaction U_92^238 to Pb_82^206 + xHe_2^4 + y beta_(-1)^0 the value of x and y are respectively ………

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