Find all the Killing vectors for the geometry with the line element: ds^2= -dt^2+e^{2t}(dr^2+r^2(d\theta ^2+\text{sin}^2\theta d\phi ^2)).

The temperature of air decreases as it is compressed by an adiabatic compressor. a)- true b)- false

Fluids at rest possess no flow energy. a)- true b)- false

Consider a large isothermal enclosure that is maintained at a uniform temperature of 2000 k. calculate the emissive power of the radiation that emerges from a small aperture on the enclosure surface. what is the wavelength ? , below which 10% of the emission is concentrated? what is the wavelength ? 2 above which 10% of the emission is concentrated? determine the wavelength at which maximum spectral emissive power occurs. what is the irradiation incident on a small object placed inside the enclosure?