2 years ago

If we can measure the period of a star's wobble caused by an orbiting planet, we know the _______.

Physics

1 answer:

Stells [14]2 years ago

3 0

You would know the period of the planets orbit.

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$2.77287\times 10^{15}\ m$

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n = Number of photons per second

h = Planck's constant = $6.626\times 10^{-34}\ m^2kg/s$

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r = Distance at which the photon intensity is i = 1 photon/m²

Power is given by

$P=nh\nu\\\Rightarrow n=\dfrac{P}{h\nu}\\\Rightarrow n=\dfrac{50000}{6.626\times 10^{-34}\times 781000}\\\Rightarrow n=9.66201\times 10^{31}\ photons/s$

Photon intensity is given by

$i=\dfrac{n}{4\pi r^2}\\\Rightarrow 1=\dfrac{9.66201\times 10^{31}}{4\pi r^2}\\\Rightarrow r=\sqrt{\dfrac{9.66201\times 10^{31}}{4\pi}}\\\Rightarrow r=2.77287\times 10^{15}\ m$

The distance is $2.77287\times 10^{15}\ m$

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2 years ago