1. Tardigrade
  2. Question
  3. Physics
  4. For the graph shown in figure which of the following statements is/are possible ?

Q. For the graph shown in figure which of the following statements is/are possible ?Physics Question Image

Nuclei Report Error

Solution:

The parameter represented by $y$-axis in the figure grows with time and becomes constant after a finite/long time interval. According to radioactive decay law the number of nuclei of a radioactive element left undecayed decreases exponentially with time so the total nuclei decayed can be represented like this curve hence option (B) is correct. If in a reactor a radionuclide is produced at a constant rate then these start decaying just after their production starts and after some time equilibrium comes when the decay rate becomes equal to the production rate then the number of such nuclei can also be represented by this curve, hence option (A) is correct.

Questions from Nuclei

1. A sample of $I_{51}^{131}$ as iodine ion was administered to a patient in a carrier consisting of $\text{0.10} \, mg$ of stable iodine ion. After $4$ days $67.7\%$ of initial radioactivity was detected in the thyroid gland of the patient. The percentage of stable iodine ion that had migrated to the thyroid gland, if $t_{1/2}$ for iodide ion is $8$ days is

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2. A radioactive sample at any instant has its disintegration rate $5000 \, dpm$ . After $5 \, minutes$ , the rate is $1250 \, dpm$ . Then, the decay constant (per minute) is

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3. A proton is bombarded on a stationary lithium nucleus. As a result of the collision two $\alpha $ -particles are produced. If the direction of motion of the $\alpha $ -particles with the initial direction of motion makes an angle $\cos ^{-1}\left(\frac{1}{4}\right)$ , then the kinetic energy of the striking proton is [Given, binding energies per nucleon of $Li^{7}=5.60 \, MeV$ and $He^{4}=7.60 \, MeV$ , $m_{proton}\approx m_{neutron}$ ]

NTA Abhyas 2020

4. Given the masses of various atomic particles $m _{ p }=1.0072 u$ , $m _{ n }=1.0087 \,u$ $m _{ e }=0.000548 u$ , $m _{\overline{ v }}=0$, $m _{ d }=2.0141 u$ where $p \equiv$ proton, $n \equiv$ neutron, $e \equiv$ electron, $\overline{ v } \equiv$ antineutrino and $d \equiv$ deuteron. Which of the following process is allowed by momentum and energy conservation ?

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5. Find the binding energy per nucleon for ${ }_{50}^{120} Sn$. Mass of proton $m _{ p }=1.00783\, U ,$ mass of neutron $m_{n}=1.00867 \,U$ and mass of tin nucleus $m _{ Sn }=119.902199 \,U $ (take $1U = 931 \,MeV)$

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