Question
Demonstrate free forced and resonant oscillations.

Answer

SELF

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According to Stefan’s law of radiation, a black body radiates energy $\sigma=\text{T}^4$ from its unit surface area every second where T is the surface temperature of the black body and $\sigma=5.67\times10^{-8}\text{w}/\text{m}^2\text{K}^4$ is known as Stefan’s constant. A nuclear weapon may be thought of as a ball of radius 0.5m. When detonated, it reaches temperature of 106K and can be treated as a black body.

  1. Estimate the power it radiates.
  2. If surrounding has water at 30C°, how much water can 10% of the energy produced evaporate in 1s?

$\big[\text{s}_w=4186.0\text{J/ kgK and L}_v=22.6\times10^5\text{J/ kg}\big]$

  1. If all this energy U is in the form of radiation, corresponding momentum is $\rho=\frac{\text{U}}{\text{c}}$ How much momentum per unit time does it impart on unit area at a distance of 1km?
Use the formula $v =\sqrt{\frac{\gamma P }{\rho}}$ explain why the speed of sound in air
(a) is independent of pressure,
(b) increases with temperature,
(c) increases with humidity.