Physics · Dimensional Analysis
Following a nuclear explosion, a shock wave propagates radially outwards. Let E be the energy released in the explosion, and ρ be the mass density of the ambient air. Ignoring the temperature of the ambient air, using dimensional analysis, the functional dependence of the radius R of the shock front on E, ρ and the time t is:
- 1Eρt2
- 2Et2ρ
- 3( ρ / Et2 )1/5
- 4( Et2 / ρ )1/5✓
Correct answer
( Et2 / ρ )1/5
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