A black hole emits a jet with a power of 1044 W. If the black hole has a rotational period of 0.1 ms, what is the energy emitted by the jet during one rotation of the black hole?

Respuesta :

Answer:

Energy Emitted, [tex]E_{J} = 0.1044 J[/tex]

Given:

Power of the jet emitted by black hole, [tex]P_{J} = 1044 W[/tex]

Rotational period of black hole, [tex]\Delta T = 0.1 ms = 0.1\times 10^{-3}[/tex]

Solution:

Energy emitted during one rotation of the black hole is given by:

[tex]P_{J} = \frac{Energy emitted, E_{J}}{\Delta T}[/tex]

Therefore,

[tex]E_{J} = P_{J}\times \Delta T[/tex]

Now, putting the given values in the above formula:

[tex]E_{J} = 1044\times 0.1\times 10^{-3} = 0.1044 J[/tex]