In the following nuclear reaction, $\mathrm{D} \xrightarrow{\alpha} \mathrm{D}_{1} \xrightarrow{\beta^{-}} \mathrm{D}_{2} \xrightarrow{\alpha} \mathrm{D}_{3} \xrightarrow{\gamma} \mathrm{D}_{4}$ Mass number of D is 182 and atomic number is 74. Mass number and atomic number of $D_{4}$ respectively will be ______.

JEE Main · 2022 · 29 Jun 2022 · Shift 2 · Modern Physics

In the following nuclear reaction,

D α D_{1} β^{-} D_{2} α D_{3} γ D_{4}

Mass number of D is 182 and atomic number is 74. Mass number and atomic number of

D_{4}

respectively will be ______.

(A)174 and 71✓ Correct
(B)174 and 69
(C)172 and 69
(D)172 and 71

Answer: (A)

Solution

Starting with D: mass number A = 182, atomic number Z = 74.

After

α

decay: A decreases by 4, Z decreases by 2 →

D_{1}

: (178, 72)

After

β^{-}

decay: A unchanged, Z increases by 1 →

D_{2}

: (178, 73)

After

α

decay: A decreases by 4, Z decreases by 2 →

D_{3}

: (174, 71)

After

γ

decay: A and Z unchanged →

D_{4}

: (174, 71)

Answer: (A) 174 and 71

JEE Main · 2022 · 29 Jun 2022 · Shift 2 · Single correct option

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