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Determine the value of x from the nuclear reaction below, \(^{222}_{86}Rn\) → \(^{x}_{88}Ra\) + 2β...

Physics
NECO 2009

Determine the value of x from the nuclear reaction below,

\(^{222}_{86}Rn\) → \(^{x}_{88}Ra\) + 2β + energy

  • A. 220
  • B. 222
  • C. 224
  • D. 226
  • E. 228
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Correct Answer: Option B
Explanation

The equation above is Beta-decay:
where β is an electron → \(^{0} _{-1}e\)

2β in the equation = \(^{0} _{-1}e\) + \(^{0} _{-1}e\) →  \(^{0} _{-2}e\)

\(^{222}_{86}Rn\) → \(^{x}_{88}Ra\) + \(^{0} _{-2}e\) + energy

where  \(^{x}_{88}Ra\) + \(^{0} _{-2}e\) → \(^{222}_{86}Rn\)

: x = 222 for element Radon [ \(^{222}_{88}Ra\)


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