A radioactive nucleus emits 3α-particles and 5β-particles. The ratio of number of neutrons to that of protons will be

Question

A radioactive nucleus emits 3α-particles and 5β-particles. The ratio of number of neutrons to that of protons will be (A) (A-Z-12/Z-6) (B) (A-Z/Z-1) (C) (A-Z-11/Z-6) (D) (A-Z-11/Z-1)

Tardigrade Admin · Accepted Answer

During the emission of Î±-particle, the mass number and atomic number decreases by four and two respectively. During the emission of Î²-particle the mass number remains the same while the atomic number increases by 1. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/883df6795f44ab9cb2e9549cc8dddfc1-.png" /> ∴ ( textNo. of neutrons/ textNo. of protons) = (A-12-(Z-1)/Z-1) = (A-Z-11/Z-1)

Q. A radioactive nucleus emits $3 α$ -particles and $5 β$ -particles. The ratio of number of neutrons to that of protons will be

$\frac{A - Z - 12}{Z - 6}$

$\frac{A - Z}{Z - 1}$

$\frac{A - Z - 11}{Z - 6}$

$\frac{A - Z - 11}{Z - 1}$

Q. A radioactive nucleus emits 3α-particles and 5β-particles. The ratio of number of neutrons to that of protons will be

Z−6A−Z−12​

Z−1A−Z​

Z−6A−Z−11​

Z−1A−Z−11​

During the emission of α-particle, the mass number and atomic number decreases by four and two respectively. During the emission of β-particle the mass number remains the same while the atomic number increases by 1. ∴No. of protonsNo. of neutrons​=Z−1A−12−(Z−1)​ =Z−1A−Z−11​

Q. A radioactive nucleus emits $3 α$ -particles and $5 β$ -particles. The ratio of number of neutrons to that of protons will be

$\frac{A - Z - 12}{Z - 6}$

$\frac{A - Z}{Z - 1}$

$\frac{A - Z - 11}{Z - 6}$

$\frac{A - Z - 11}{Z - 1}$