Question

At what constant rate P, ${}^{56}Mn$ unclei are being produced in the cyclotron during the bombardment?

• A. $2\times {10}^{11}$ nuclei/s
• B. $13.86\times {10}^{10}$ nuclei/s
• C. $9.6\times {10}^{10}$ nuclei/s
• D. $6.93\times {10}^{10}$ nuclei/s

Answer 1

The correct option is B $13.86\times {10}^{10}$ nuclei/s

$Solution:$ ${}^{56}Mn+d{\to }^{56}Mn($ stable $)+p$

$\therefore$ one radioactive Mn nucleus disintegrates to

convert to one stable Mn nucleus.

After long time, the activity of ${}^{56}$ M n becomes

equal to $13.86\times {10}^{10}{s}^{-1}$

$⟹13.86\times {10}^{10}$ radioactive Mn nucleii get

disintegrated in one second. Thus, $13.86\times {10}^{10}$ stable Mn nucleii are

produced in one second.

$So,the$ $correct$ $option:B$