91Ó°ÊÓ

Power: Power is defined as the rate at which energy is expended. Greater power means a large amount of work or energy developed in a short time.

(a)

The power output of the sun is,

$P_{sun}=4×{10}^{26}W$

Since, the power output of the star is 1000 times to that of power output of the Sun. Therefore, the power output of the start is,

$$\begin{gathered} P_s=1000×\left(4×{10}^{26}\right) \\ =4×{10}^{29}W \end{gathered}$$

The power output of the supernova is,

$P_N=5×{10}^{37}$

The factor by which the power output has increased is,

$$\begin{gathered} \frac{P_N}{P_S}=\frac{5×{10}^{37}W}{4×{10}^{26}W} \\ =1.25×{10}^8 \end{gathered}$$

Therefore, the factor by which the power output of the star, 1000 times brighter than the sun has increased ongoing supernova is ${10}^8$.

(b)

The power output of the Milky way galaxy is,

$P_G={10}^{37}W$

The factor by which the supernova explosion is brighter than Milky way is,

$$\begin{gathered} \frac{P_N}{P_G}=\frac{5×{10}^{37}W}{{10}^{37}W} \\ =5 \end{gathered}$$

Thus, the factor by which the supernova explosion is brighter than our Milky way galaxy is 5.

(c)

The average brightness of observable galaxies is less than our Milky way galaxy. And we know that the supernova explosion is 5 times brighter than our Milky way galaxy. Hence, it is possible to observe supernova explosion in distant galaxies.