Lets use Dimensional analysis.

<h3>LHS:-</h3>
![\\ \sf\longmapsto s=\left[M^0LT^0\right]](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20s%3D%5Cleft%5BM%5E0LT%5E0%5Cright%5D)
<h3>RHS</h3>

![\\ \sf\longmapsto \left[M^0LT^{-1}\right]\left[M^0L^0T^1\right]+\dfrac{1}{2}\left[M^0LT^{-2}\right]\left[M^0L^0T^1\right]^2](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cleft%5BM%5E0LT%5E%7B-1%7D%5Cright%5D%5Cleft%5BM%5E0L%5E0T%5E1%5Cright%5D%2B%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5BM%5E0LT%5E%7B-2%7D%5Cright%5D%5Cleft%5BM%5E0L%5E0T%5E1%5Cright%5D%5E2)
![\\ \sf\longmapsto L+\dfrac{1}{2}\left[LT^{-2}\right]\left[T^2\right]](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20L%2B%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5BLT%5E%7B-2%7D%5Cright%5D%5Cleft%5BT%5E2%5Cright%5D)


![\\ \sf\longmapsto [L^1]](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5BL%5E1%5D)
![\\ \sf\longmapsto \left[M^0LT^0\right]](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cleft%5BM%5E0LT%5E0%5Cright%5D)
LHS=RHS
Hence verified
Answer:
The star is at a distance of 100 parsecs.
Explanation:
The distance can be determined by means of the distance modulus:
(1)
Where M is the absolute magnitude, m is the apparent magnitude and d is the distance in units of parsec.
Therefore, d can be isolated from equation 1

Then, Applying logarithmic properties it is gotten:
(2)
The absolute magnitude is the intrinsic brightness of a star, while the apparent magnitude is the apparent brightness that a star will appear to have as is seen from the Earth.
Since both have the same spectral type is absolute magnitude will be the same.
Finally, equation 2 can be used:
Hence, the star is at a distance of 100 parsecs.
Key term:
Parsec: Parallax of arc seconds
Answer:
D . Sound energy
Explanation:
When the strings of a violin vibrate it produces sound which is sound energy. Due to the vibration of the strings the air present near the strings also vibrate in resonance with the strings. This compreesion and decompression's produced in the air is nothing but the sound. So the form of energy given off by the vibrating strings of the violin is Sound energy.
Answer:
The number of grains of sand on all the beaches on Earth
Explanation:
if we assume grain of sand has an average size , then the number of grains of sand on all the beaches on Earth is roughly
The total number of stars in the observable universe is roughly equivalent to 1 billion trillion. which is roughly equal to the number of grains of sand on all the beaches on Earth.