All
BE/B.Tech
MBA/PGDM
MBBS
ME/M.Tech
B.Sc
BA
B.Com
BCA
BBA/BMS
B.Sc (Nursing)

Ranking

College ranked based on real data

Indiatoday - 1740
Collegedunia - 1406
IIRF - 1684
Outlook - 1318
NIRF - 1301
Top Ranked Colleges in India ›

Find Colleges

Discover 19000+ colleges via preferences

Best MBA colleges in India
Best BTech colleges in India
Discover Top Colleges in India ›

Compare Colleges

Compare on the basis of rank, fees, etc.

IIT Madras vs IIT Delhi
IIT Madras vs IIT Bombay
Compare Colleges ›

Exams

Know more about your exams

B.Com
B.Sc
B.Sc (Nursing)
BA
BBA/BMS
BCA
BE/B.Tech
Check All Entrance Exams in India ›

College Predictor

Know your college admission chances

JEE Main
JEE Advanced
CAT
NEET
GATE
NMAT
MAT
XAT
Find Where you may get Admission ›

Course Finder

Discover top courses in Indian Colleges 2025

BE/B.Tech - 963
MBA/PGDM - 1159
ME/M.Tech - 1221
B.Sc - 1052
Get Top Courses in Indian Colleges ›

Your Gateway to Top Colleges & Exams

Discover thousands of questions, past papers, college details and all exam insights – in one place.

Popular Colleges

Top Exams

JEE MainJEE Main
JEE AdvJEE Advanced
NEET UGNEET UG
BITSATBITSAT
COMEDKCOMEDK
VITEEEVITEEE
WBJEEWBJEE

The binding energy of nucleons in a nucleus can be affected by the...

The binding energy of nucleons in a nucleus can be affected by the pairwise Coulomb repulsion. Assume that all nucleons are uniformly distributed inside the nucleus. Let the binding energy of a proton be Ebp and the binding energy of a neutron be Ebn in the nucleus.
Which of the following statement(s) is(are) correct?
Ebp-Ebn is proportional to ZZ-1 where Z is the atomic number of the nucleus.
Ebp-Ebn is proportional to A-13 where A is the mass number of the nucleus.
Ebp-Ebn is positive.
Ebp increases if the nucleus undergoes a beta decay emitting a positron.
Solution:

Total binding energy (without considering repulsions),

Eb=Zmp+A-Zmn-mxc2

Where, XZA is the nuclei under consideration.

Now, considering repulsion :

Number of proton pairs =C2Z

Thus repulsion energy ZZ-12×14πϵ0e2R

Where R is the radius of the nucleus

Ebp-EbnZZ-1   there will be no repulsion term for neutrons.

Also, since R=R0A13

 Ebp-EbnA-13

Because of repulsion among protons,

Ebp<Ebn

Since in β+ decay, number of protons decrease repulsion would decrease

Ebp increases