Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • (a) Classify the following six nuclides into (i) isotones, (ii) isotopes, and (iii) isobars :         

(a) Classify the following six nuclides into (i) isotones, (ii) isotopes, and (iii) isobars :

        _{6}^{12}\textrm{C},\; _{2}^{3}\textrm{He},\; _{80}^{198}\textrm{Hg},\; _{1}^{3}\textrm{H},\; _{79}^{197}\textrm{Au},\; _{6}^{14}\textrm{C}

(b) How does the size of a nucleus depend on its mass number? Hence explain why the density of nuclear matter should be independent of the size of the nucleus.

 

 
 
 
 
 

Answers (1)

(a) Classification of nuclides are as follows;-

(i) isotopes\; ;\; _{6}^{12}\textrm{C}\; and\; _{6}^{14}\textrm{C}

(ii) isobars\; ;\; _{2}^{3}\textrm{He}\; and\; _{1}^{3}\textrm{H}

(iii) isotones\; ;\; _{80}^{198}\textrm{Hg}\; and\; _{79}^{197}\textrm{Au}

(c) The radius of the nucleus having mass number A is given as ;

        R=r_{0}(A)^{\frac{1}{3}}

Where, A= mass no.

            R= radius

            r_{0}= constant value

Such that, the volume of the nucleus;- 

=\frac{4}{3}\pi R^{3}

 =\frac{4}{3}\pi \times r_{0}^{3}\times A^{\frac{1}{3}\times 3}

 =\frac{4}{3}\pi r_{0}^{3} A

  If m be the average mass of a nucleon, then the mass of nucleus =mA

\therefore the nuclear density

. =\frac{mass }{volume }=\frac{mA}{\frac{4}{3}\pi (r_{0}^{3})\times A}=\frac{3m}{4\pi (r_{0})^{3}}

Hence, nuclear density is independent of the size of the nucleus.

Posted by

Safeer PP

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question