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प्रश्न
The graph of ln `("R"/"R"_0)` versus ln A (R = radius of a nucleus and A = its mass number) is ______.
विकल्प
a straight line
a parabola
an ellipse
none of them.
उत्तर
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`.
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- nuclear forces have short range.
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