JEE Main 2022 · 25 Jun · Shift 2 · Physics Q47

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PhysicsSingle correct+4 / -1Question 47 of 90

Which of the following figure represents the variation of $\ln\left(\dfrac R{R_0}\right)$ with $\ln A$ (if $R=$ radius of a nucleus and $A=$ its mass number)

Curve of

\ln(R/R_0)

against

\ln A

rising and bending upward (concave up)

ln(R/R0) against ln A: a curve rising and bending upward.

Straight line of

\ln(R/R_0)

against

\ln A

through the origin

Curve of

\ln(R/R_0)

against

\ln A

rising and levelling off (concave down)

ln(R/R0) against ln A: a curve rising and levelling off.

Curve of

\ln(R/R_0)

against

\ln A

falling after a maximum

ln(R/R0) against ln A: a curve starting high and falling.

Answer and worked solution

Official answer: B

Nuclear radius. $R=R_0A^{1/3}$ , so $\ln\dfrac R{R_0}=\dfrac13\ln A$ : a straight line through the origin.

(B)

Topics:Nuclear composition and size

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JEE Main 2022 · 25 Jun · Shift 2, Physics question 47