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  4. A and B are isotopes, B and C are isobars. All three are radioactive :

Q. $A$ and $B$ are isotopes, $B$ and $C$ are isobars. All three are radioactive :

Nuclei Report Error

Solution:

As $A$ and $B$ are isotopes, these will have same atomic number and belong to same element. $B$ and $C$ are isobars so these will have same mass numbers but different atomic numbers so these will be different elements. By a radioactive process of alpha or beta decay atomic number always changes so $B$ can change to $C$ by any of these processes.

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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 $He^{4}=7.60 \, MeV$ , $m_{proton}\approx m_{neutron}$ ]

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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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