Gravity can A) only pull B) only push C) pull or push

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baller560

18.12.2022

Chemistry

The correct answer is option C.

Explanation:

Half life of the uranium-238= $t_{\frac{1}{2}}=4.5 \text{billion years}$

Decay constant = $\lambda$

$\lambda =\frac{0.693}{t_{\frac{1}{2}}}$

$\lambda =\frac{0.693}{4.5 \text{billion years}}=0.154 ({\text{billion year})^{-1}$

Let the initial amount of U-238 be x

And the present amount of U-238 be x'.

$A=A_o\times e^{-\lambda t}$

A_o = Initial amount

A = Amount left after time t

$x'=x\times e^{-0.154 ({\text{billion year})^{-1}\times 4.5\text{billion years}}$

$x'=x\times 0.500$

Percentage of left amount:

$\%=\frac{A}{A_o}\times 100$

$\%=\frac{x\times 0.5000}{x}\times 100=50.00\%$

Hence,the correct answer is option C.

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