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In: Physics

Star X is known to be 30.0 light years away and is 6.50 times larger than...

Star X is known to be 30.0 light years away and is 6.50 times larger than the Sun. You observe that its spectrum peaks at a wavelength of 350 nm. Assume it emits as a blackbody. The Sun has a surface temperature of 5770K.

a) What is the surface temperature of Star X? (K)

b) What is the ratio of power (luminosity) radiated by Star to that of the Sun?

c) Derive an expression for the intensity of light, I, from star X as observed from Earth (ignore any absorption by our atmosphere). Your expression should be a function of T(surface temperature in K), R(radius of star), and d (distance to star).

d) Plug in to c) to compute the intensity of radiation from Star X arriving at Earth (W/m2 )

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