The relation plays a crucial role in nuclear physics.

PHYSICS · Multi-part · CBSE · Physics · Nuclei · Nuclei

Problem

The relation R=R0A1/3R=R_0A^{1/3} plays a crucial role in nuclear physics. (a) Explain, without using numerical calculations, why this relation implies that nuclei of different mass numbers have almost the same mass density. (b) Sketch qualitatively the graph of RR versus A1/3A^{1/3} and describe its shape. Does the graph pass through the origin? Justify your answer. (c) If the graph of RR versus A1/3A^{1/3} is a straight line, what physical quantity does its slope represent? State its approximate value from known data.

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