Q.[Text cut off at the bottom edge of the printed page — only the closing phrase is legible] ...associated with a solenoid?

The printed stem for this question is cut off in the source paper and only the closing phrase "...associated with a solenoid?" is legible, so the exact wording asked cannot be reconstructed with certainty. Based on how this two-mark question is commonly phrased in TSBIE physics papers, it most likely asks for the self-inductance (or the magnetic flux/energy) associated with a current-carrying solenoid - answered honestly below on that basis.

Because the stem is incomplete, this answer addresses the standard quantity examiners ask for under this phrasing: the self-inductance of a long solenoid.

A solenoid is a long, tightly wound coil of N turns, length l, and cross-sectional area A, carrying a current I. The magnetic field inside an ideal (long) solenoid is uniform and given by B = mu_0 n I, where n = N/l is the number of turns per unit length.

The magnetic flux linked with the solenoid (through all N turns) is:

Phi = N B A = N (mu_0 N I / l) A = (mu_0 N^2 A / l) I

Since self-inductance L is defined by Phi = L I, the self-inductance of the solenoid is:

L = mu_0 N^2 A / l

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