An Ideal Solenoid with 3000 Turns Is $70.0 \mathrm {~cm}$ Long If Its Self-Inductance Is

Multiple Choice

An ideal solenoid with 3000 turns is $70.0 \mathrm {~cm}$ long. If its self-inductance is $25.0 \mathrm { mH }$ , what is its radius? $\left( \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } \right)$

A) $0.00199 \mathrm {~m}$
B) $52.0 \mathrm {~m}$
C) $327 \mathrm {~m}$
D) $0.0222 \mathrm {~m}$