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What are the dimensions of chi, the magn...

What are the dimensions of `chi`, the magnetic susceptibility? Consider an H-atom. Guess an expression for `chi` upto a constant by constructing a quantity of dimensions of `chi`, out of parameters of the atom: e, m, v, R and `mu_0`. Here, m is the electronic mass, v is electronic velocity, R is Bohr radius. Estimate the number so obtained and compare with the value of `|chi|~10^(-5)` for any solid material.

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To solve the problem, we will follow these steps: ### Step 1: Determine the dimensions of magnetic susceptibility (χ) Magnetic susceptibility (χ) is defined as the ratio of magnetization (M) to the magnetic field strength (H): \[ \chi = \frac{M}{H} \] Both magnetization (M) and magnetic field strength (H) have the same dimensions, which makes χ a dimensionless quantity. Thus, the dimensions of χ are: ...
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