The solution would be like this for this specific problem:
Given:
diffraction grating
slits = 900 slits per centimeter
interference pattern that
is observed on a screen from the grating = 2.38m
maxima for two different
wavelengths = 3.40mm
slit separation .. d =
1/900cm = 1.11^-3cm = 1.111^-5 m <span>
Whenas n = 1, maxima (grating equation) sinθ = λ/d
Grant distance of each maxima from centre = y ..
<span>As sinθ ≈ y/D y/D =
λ/d λ = yd / D </span>
∆λ = (λ2 - λ1) = y2.d/D - y1.d/D
∆λ = (d/D) [y2 -y1]
<span>∆λ = 1.111^-5m x [3.40^-3m] / 2.38m .. .. ►∆λ = 1.587^-8 m</span></span>
An electron is negatively charged.
Answer:
Efficiency = 80%
Explanation:
Given the following data;
Work output = 240 N
Work Input = 300 N
To find the mechanical efficiency of a machine;
Substituting into the equation, we have;
![Efficiency = \frac {240}{300} * 100](https://tex.z-dn.net/?f=%20Efficiency%20%3D%20%5Cfrac%20%7B240%7D%7B300%7D%20%2A%20100%20)
Efficiency = 80%
Therefore, the mechanical efficiency of the machine is 80 percent.
Answer:
128.9 N
Explanation:
The force exerted on the golf ball is equal to the rate of change of momentum of the ball, so we can write:
![F=\frac{\Delta p}{\Delta t}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B%5CDelta%20p%7D%7B%5CDelta%20t%7D)
where
F is the force
is the change in momentum
is the time interval
The change in momentum can be written as
![\Delta p = m(v-u)](https://tex.z-dn.net/?f=%5CDelta%20p%20%3D%20m%28v-u%29)
where
m = 0.04593 kg is the mass of the ball
u = 0 is the initial velocity of the ball
is the final velocity of the ball
Substituting into the original equation, we find the force exerted on the golf ball:
![F=\frac{m(v-u)}{\Delta t}=\frac{(0.04593)(78.1-0)}{0.030}=128.9 N](https://tex.z-dn.net/?f=F%3D%5Cfrac%7Bm%28v-u%29%7D%7B%5CDelta%20t%7D%3D%5Cfrac%7B%280.04593%29%2878.1-0%29%7D%7B0.030%7D%3D128.9%20N)
= 3.456 × 1011
(scientific notation)
= 3.456e11
(scientific e notation)
= 345.6 × 109
(engineering notation)
(billion; prefix giga- (G))
= 345600000000
(real number)