A radioactive nucleus decays according to the following reaction-X X1X2X3X4If Z-72 A-180 for the element X- the mass number and atomic number of X4 will be- respectively-

(i) For α decay _72X^180→ _70X^176+ _2He^4 (ii)For β decay _70X^176→ _71X^176+(_ 1e^0) (iii) For α decay _71X^176→ _69X^172+ _2He^4 (iv) For γ decay, there ...

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Standard X

Physics

Radioactivity

A radioactive...

Question

A radioactive nucleus decays according to the following reaction.

$X α \to X_{1} β^{-} - \to X_{2} α \to X_{3} γ \to X_{4}$

If $Z = 72 A = 180$ for the element $X$ , the mass number and atomic number of $X_{4}$ will be, respectively,

172, 70

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172, 69

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172, 68

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171, 69

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Solution

The correct option is B $172, 69$
(i) For $α$ decay
$_{72} X^{180} \to_{70} X^{176} +_{2} H e^{4}$

(ii)For $β$ decay
$_{70} X^{176} \to_{71} X^{176} + (_{- 1} e^{0})$

(iii) For $α$ decay
$_{71} X^{176} \to_{69} X^{172} +_{2} H e^{4}$

(iv) For $γ$ decay, there is no change $A or Z$

$\Rightarrow_{69} X^{172} = X_{4}$

$∴ A = 172, Z = 69 for X_{4}$

Hence, $(B)$ is the correct answer.

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A radioactive nucleus decays according to the following reaction. Xα→ X1β−−→X2α→X3γ→X4 If Z=72 A=180 for the element X, the mass number and atomic number of X4 will be, respectively,

The correct option is B 172, 69(i) For α decay 72X180→ 70X176+ 2He4 (ii)For β decay 70X176→ 71X176+(−1e0) (iii) For α decay 71X176→ 69X172+ 2He4 (iv) For γ decay, there is no change A or Z ⇒ 69X172=X4 ∴A=172, Z=69 for X4 Hence, (B) is the correct answer.

A radioactive nucleus decays according to the following reaction.

$X α \to X_{1} β^{-} - \to X_{2} α \to X_{3} γ \to X_{4}$

If $Z = 72 A = 180$ for the element $X$ , the mass number and atomic number of $X_{4}$ will be, respectively,