TS EAMCET 18-July-2022 Shift 1 Solved Paper

Let A be the mass number and R be the radius of a nucleus.
If m be the average mass of a nucleon, then mass of nucleus, M=mA
Volume of nucleus, V=‌

4

3

πR3
∴ Nuclear density,
ρ‌=‌

‌ Mass of nucleus ‌(M)

‌ Volume ‌(V)

‌=‌

mA

4 3 πR3

=‌

3mA

4πR3

‌=‌

3mA

4π(R0A‌ 1 3 )3

‌‌(∵R=R0A1∕3)
‌=‌

3mA

4πR03A

=‌

3m

4πR03

Hence, nuclear density does not depend on mass number.
Therefore, with increase of mass number A, nuclear density does not change.