Explanation:
1. The kinetic energy of any object is calculated as :
...........(1)
Dimensional formula of energy, ![[E]=[ML^2T^{-2}]](https://tex.z-dn.net/?f=%5BE%5D%3D%5BML%5E2T%5E%7B-2%7D%5D)
Dimensional formula of mass is ![[M]](https://tex.z-dn.net/?f=%5BM%5D)
Dimensional formula of velocity, ![[v]=[LT^{-1}]](https://tex.z-dn.net/?f=%5Bv%5D%3D%5BLT%5E%7B-1%7D%5D)
![[ML^2T^{-2}]=\dfrac{1}{2}[M]([LT^{-1}])^2](https://tex.z-dn.net/?f=%5BML%5E2T%5E%7B-2%7D%5D%3D%5Cdfrac%7B1%7D%7B2%7D%5BM%5D%28%5BLT%5E%7B-1%7D%5D%29%5E2)
So, ![[ML^2T^{-2}]=[ML^2T^{-2}]](https://tex.z-dn.net/?f=%5BML%5E2T%5E%7B-2%7D%5D%3D%5BML%5E2T%5E%7B-2%7D%5D)
LHS = RHS
2. The potential energy is given by :

Dimensional formula of mass is ![[M]](https://tex.z-dn.net/?f=%5BM%5D)
Dimensional formula of g is ![[LT^{-2}]](https://tex.z-dn.net/?f=%5BLT%5E%7B-2%7D%5D)
Dimensional formula of height is ![[L]](https://tex.z-dn.net/?f=%5BL%5D)
Dimensional formula of energy, ![[E]=[ML^2T^{-2}]](https://tex.z-dn.net/?f=%5BE%5D%3D%5BML%5E2T%5E%7B-2%7D%5D)
So, ![E=[M][LT^{-2}][L]](https://tex.z-dn.net/?f=E%3D%5BM%5D%5BLT%5E%7B-2%7D%5D%5BL%5D)
So, LHS = RHS
Hence, this is the required solution.
The frequencies are missing in the question. The three successive resonance frequencies within the volume are
.
Solution :
Let the volume be : v
The frequency for one end open and one end closed is given by :
So, 
Therefore,
,
, 
So,
and 
Therefore, the ratio of
which is not a whole number.
Now the frequency for open volume and closed at both end

So,
,
, 
From above formulae we can see that ratio of is not a whole number that is a identification for the frequency of the volume at one end open and one end closed.
Also ratio of the consecutive frequency of the volume at open from both side and closed from both side is always a whole number.
Answer:
40 cm
Explanation:
We are given that
Magnification of concave mirror, m=4
Object distance, u=-10cm
We have to find the position of image.
We know that
Magnification of concave mirror, m=
Using the formula




Hence, the image is formed at distance 40 cm behind the mirror.
As the climber climbs the mountain, he needs to over his or her own weight component along the slope of the mountains.
By Newton's second law: Net force = Mass x acceleration
Hence, greater the mass, greater will be the force required to move up the mountain. Hence, the climber will need to apply higher force to climb up as he or she has packed too much, which resulted in the increase in the mass. Hence, there is a increase in the force which will pull him or her downward.
Answer:
Rapid human population growth has a number of consequences. Population grows fastest in the world's poorest countries. High fertility rates have historically had a strong relation with poverty, and high childhood mortality rates
Explanation:
i got it from goo.gle but i hope that helps:)
have a good day bro