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An isotone of .(32)^(76)Ge is- (a) .(32)...

An isotone of `._(32)^(76)Ge` is-
(a) `._(32)^(77)Ge`
(b)`._(33)^(77)As`
(c)`._(34)^(77)Se`
(d)`._(34)^(78)Se`

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The correct Answer is:
To find an isotone of the isotope \( _{32}^{76}Ge \) (Germanium-76), we need to understand the definition of isotones. Isotones are atoms that have the same number of neutrons but different numbers of protons (atomic numbers). ### Step-by-Step Solution: 1. **Identify the number of neutrons in Germanium-76**: - The number of neutrons can be calculated using the formula: \[ \text{Number of neutrons} = \text{Mass number} - \text{Atomic number} \] - For Germanium-76: \[ \text{Number of neutrons} = 76 - 32 = 44 \] 2. **Check each option to find the one with the same number of neutrons (44)**: - **Option (a)**: \( _{32}^{77}Ge \) - Neutrons = \( 77 - 32 = 45 \) (not isotone) - **Option (b)**: \( _{33}^{77}As \) - Neutrons = \( 77 - 33 = 44 \) (isotone) - **Option (c)**: \( _{34}^{77}Se \) - Neutrons = \( 77 - 34 = 43 \) (not isotone) - **Option (d)**: \( _{34}^{78}Se \) - Neutrons = \( 78 - 34 = 44 \) (isotone) 3. **Conclusion**: - The isotones of \( _{32}^{76}Ge \) are: - \( _{33}^{77}As \) (Option b) - \( _{34}^{78}Se \) (Option d) ### Final Answer: The isotones of \( _{32}^{76}Ge \) are **(b) \( _{33}^{77}As \)** and **(d) \( _{34}^{78}Se \)**.
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