Let binding energy per nucleon of nucleus is denoted by Ebn and radius of nucleus is denoted as r. If mass number of nuclei A, B and 64 and 125 respectively then

Question

Let binding energy per nucleon of nucleus is denoted by Ebn and radius of nucleus is denoted as r. If mass number of nuclei A, B and 64 and 125 respectively then (A) r A < r B, E bnA < E bnB  (B) r A < r B, E bnA < E bnA  (C) rA = (4/5) rB, E bnA < E bnB (D) rA < rB, E bnA > E bnB

Tardigrade Admin · Accepted Answer

r increases with increasing A mass number So, rA < rB as mass number of A is smaller Eb n decreases with increasing A for A > 56, 56 Fe has highest Eb n value. So, Eb n for A =64 is larger as compared to Eb n for nucleus with A =125 Eb n A>Eb n B

Q. Let binding energy per nucleon of nucleus is denoted by $E_{b} n$ and radius of nucleus is denoted as $r$ . If mass number of nuclei $A, B$ and $64$ and $125$ respectively then

$r_{A} < r_{B}, E_{bn A} < E_{bn B}$

$r_{A} < r_{B}, E_{bn A} < E_{bn A}$

$r_{A} = \frac{4}{5} r_{B}, E_{bn A} < E_{bn B}$

$r_{A} < r_{B}, E_{bn A} > E_{bn B}$

$r$ increases with increasing $A$ mass number
So, $r_{A} < r_{B}$ as mass number of $A$ is smaller
$E_{b} n$ decreases with increasing A for $A > 56$ ,
$^{56} F e$ has highest $E_{bn}$ value.
So, $E_{bn}$ for $A = 64$ is larger as compared to $E_{bn}$ for nucleus with $A = 125$
$E_{bn A} > E_{bn B}$

Q. Let binding energy per nucleon of nucleus is denoted by Eb​n and radius of nucleus is denoted as r. If mass number of nuclei A,B and 64 and 125 respectively then

rA​<rB​,EbnA​<EbnB​

rA​<rB​,EbnA​<EbnA​

rA​=54​rB​,EbnA​<EbnB​

rA​<rB​,EbnA​>EbnB​

r increases with increasing A mass number So, rA​<rB​ as mass number of A is smaller Eb​n decreases with increasing A for A>56, 56Fe has highest Ebn​ value. So, Ebn​ for A=64 is larger as compared to Ebn​ for nucleus with A=125 EbnA​>EbnB​

Q. Let binding energy per nucleon of nucleus is denoted by $E_{b} n$ and radius of nucleus is denoted as $r$ . If mass number of nuclei $A, B$ and $64$ and $125$ respectively then

$r_{A} < r_{B}, E_{bn A} < E_{bn B}$

$r_{A} < r_{B}, E_{bn A} < E_{bn A}$

$r_{A} = \frac{4}{5} r_{B}, E_{bn A} < E_{bn B}$

$r_{A} < r_{B}, E_{bn A} > E_{bn B}$