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An atomic nucleus A is composed of 84 protons and 128 neutrons. (i) The nucleus A emits an alpha particle and is transformed into nucleus B. What is the composition of nucleus B?

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Question

An atomic nucleus A is composed of 84 protons and 128 neutrons.

  1. The nucleus A emits an alpha particle and is transformed into nucleus B. What is the composition of nucleus B?
  2. The nucleus B emits a beta particle is transformed into nucleus C. What is the composition of nucleus C?
  3. Does the composition of nucleus C change if it emits gamma radiations?
Numerical
Very Long Answer
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Solution

Given: Number of protons in nucleus A = 84

Number of neutrons in nucleus A = 128

(i) When nucleus A emits an alpha particle, the number of protons decreases by 2 and the number of neutrons decreases by 2.

Number of protons = 84 − 2

= 82

Number of neutrons = 128 − 2

= 126

Therefore, nucleus B contains 82 protons and 126 neutrons.

(ii) When nucleus B emits a beta (\(\beta^-\)) particle, one neutron changes into a proton.

Number of protons = 82 + 1

= 83

Number of neutrons = 126 − 1

= 125

Therefore, nucleus C contains 83 protons and 125 neutrons.

(iii) No, the composition of nucleus C remains unchanged because gamma radiation carries neither mass nor charge. Hence, the number of protons and neutrons remains the same.

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Notes

Students should refer to the answer according to their questions.

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Chapter 12: Radioactivity - EXERCISE - 12(A) [Page 299]

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