Answer:
Explanation:
To listen the sound, the air particles must vibrates.
As the sound energy produce vibrations in the medium, so the air column exerts pressure, and then the air molecules set into vibrations and we hear sound as the diaphram set into vibrations.
Answer : The speed of waves along the wire is, 1.2 m/s
Explanation :
Formula used :

where,
= frequency = 
= wavelength =
c = speed of wave = ?
Now put all the given value in the above formula, we get the speed of waves along the wire.


Thus, the speed of waves along the wire is, 1.2 m/s
Answer:
Top speed is 31.68 m/s
Explanation:
Speed of a body is the distance traveled by the body in unit time.
Speed is generally expressed in meter per second or kilometer per hour.
Here, the cheetah travels a distance of 274 m in 8.65 s.
Therefore, speed of cheetah is the distance traveled by it in one second.
For 8.65 s, distance traveled is 274 m
For 1 s, distance traveled will be
meters per second. This value is called speed.
So, speed is given as the ratio of the distance traveled to that of the time taken.
∴ Top speed of cheetah is given as:

Here,
is the top speed of cheetah.
Answer:
8.5 ohms
Explanation:
from ohms law
V=IR
120=14.1R
divide both sides by 14.1
120/14.1=14.1R/14.1
R=8.5ohms
Answer:
Proof in explanataion
Explanation:
The basic dimensions are as follows:
MASS = M
LENGTH = L
TIME = T
i)
Given equation is:

where,
H = height (meters)
u = speed (m/s)
g = acceleration due to gravity (m/s²)
Sin Ф = constant (no unit)
So there dimensions will be:
H = [L]
u = [LT⁻¹]
g = [LT⁻²]
Sin Ф = no dimension
Therefore,
![[L] = \frac{[LT^{-1}]^2}{[LT^{-2}]}\\\\\ [L] = [L^{(2-1)}T^{(-2+2)}]](https://tex.z-dn.net/?f=%5BL%5D%20%3D%20%5Cfrac%7B%5BLT%5E%7B-1%7D%5D%5E2%7D%7B%5BLT%5E%7B-2%7D%5D%7D%5C%5C%5C%5C%5C%20%5BL%5D%20%3D%20%5BL%5E%7B%282-1%29%7DT%5E%7B%28-2%2B2%29%7D%5D)
<u>[L] = [L]</u>
Hence, the equation is proven to be homogenous.
ii)

where,
F = Force = Newton = kg.m/s² = [MLT⁻²]
G = Gravitational Constant = N.m²/kg² = (kg.m/s²)m²/kg² = m³/kg.s²
G = [M⁻¹L³T⁻²]
m₁ = m₂ = mass = kg = [M]
r = distance = m = [L]
Therefore,
![[MLT^{-2}] = \frac{[M^{-1}L^{3}T^{-2}][M][M]}{[L]^2}\\\\\ [MLT^{-2}] = [M^{(-1+1+1)}L^{(3-2)}T^{-2}]\\\\](https://tex.z-dn.net/?f=%5BMLT%5E%7B-2%7D%5D%20%3D%20%5Cfrac%7B%5BM%5E%7B-1%7DL%5E%7B3%7DT%5E%7B-2%7D%5D%5BM%5D%5BM%5D%7D%7B%5BL%5D%5E2%7D%5C%5C%5C%5C%5C%20%5BMLT%5E%7B-2%7D%5D%20%3D%20%5BM%5E%7B%28-1%2B1%2B1%29%7DL%5E%7B%283-2%29%7DT%5E%7B-2%7D%5D%5C%5C%5C%5C)
<u>[MLT⁻²] = [MLT⁻²]</u>
Hence, the equation is proven to be homogenous.