Advertisements
Advertisements
Question
The graph of ln `("R"/"R"_0)` versus ln A (R = radius of a nucleus and A = its mass number) is ______.
Options
a straight line
a parabola
an ellipse
none of them.
Solution
The graph of ln `("R"/"R"_0)` versus ln A (R = radius of a nucleus and A = its mass number) is a straight line.
Explanation:
The average nuclear radius (R) and the mass number of the element (A) has the following relation :
`"R" = "R"_0"A"^(1/3)`
`"R"/"R"_0 = "A"^(1/3)`
In `("R"/"R"_0) = 1/3 "In A"`
Therefore, the graph of ln `("R"/"R"_0)` versus ln A is a straight line passing through the origin with slope `1/3`.
APPEARS IN
RELATED QUESTIONS
When a boron nucleus `(""_5^10"B")` is bombarded by a neutron, a α-particle is emitted. Which nucleus will be formed as a result?
Two lithium nuclei in a lithium vapour at room temperature do not combine to form a carbon nucleus because
Fusion processes, like combining two deuterons to form a He nucleus are impossible at ordinary temperatures and pressure. The reasons for this can be traced to the fact ______.
- nuclear forces have short range.
- nuclei are positively charged.
- the original nuclei must be completely ionized before fusion can take place.
- the original nuclei must first break up before combining with each other.