Rainbows are caused by the dispersion of light, which itself consists of a combination of refraction and reflection of light around little droplets of water.
Choice C
Answer:
10.2 m
Explanation:
The position of the dark fringes (destructive interference) formed on a distant screen in the interference pattern produced by diffraction from a single slit are given by the formula:
![y=\frac{\lambda (m+\frac{1}{2})D}{d}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%5Clambda%20%28m%2B%5Cfrac%7B1%7D%7B2%7D%29D%7D%7Bd%7D)
where
y is the position of the m-th minimum
m is the order of the minimum
D is the distance of the screen from the slit
d is the width of the slit
is the wavelength of the light used
In this problem we have:
is the wavelength of the light
is the width of the slit
m = 13 is the order of the minimum
is the distance of the 13th dark fringe from the central maximum
Solving for D, we find the distance of the screen from the slit:
![D=\frac{yd}{\lambda(m+\frac{1}{2})}=\frac{(0.0857)(0.0011)}{(683\cdot 10^{-9})(13+\frac{1}{2})}=10.2 m](https://tex.z-dn.net/?f=D%3D%5Cfrac%7Byd%7D%7B%5Clambda%28m%2B%5Cfrac%7B1%7D%7B2%7D%29%7D%3D%5Cfrac%7B%280.0857%29%280.0011%29%7D%7B%28683%5Ccdot%2010%5E%7B-9%7D%29%2813%2B%5Cfrac%7B1%7D%7B2%7D%29%7D%3D10.2%20m)
935,500 joules because when we use the KE formula KE=1/2mv^2;
KE=1/2(750)(50)^2
KE=375(2500)
KE=935,500 Joules
Hope it helps
Answer:
The the linear speed (in m/s) of a point on the rim of this wheel at an instant=0.418 m/s
Explanation:
We are given that
Angular acceleration, ![\alpha=3.3 rad/s^2](https://tex.z-dn.net/?f=%5Calpha%3D3.3%20rad%2Fs%5E2)
Diameter of the wheel, d=21 cm
Radius of wheel,
cm
Radius of wheel, ![r=\frac{21\times 10^{-2}}{2} m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B21%5Ctimes%2010%5E%7B-2%7D%7D%7B2%7D%20m)
1m=100 cm
Magnitude of total linear acceleration, a=![1.7 m/s^2](https://tex.z-dn.net/?f=1.7%20m%2Fs%5E2)
We have to find the linear speed of a at an instant when that point has a total linear acceleration with a magnitude of 1.7 m/s2.
Tangential acceleration,![a_t=\alpha r](https://tex.z-dn.net/?f=a_t%3D%5Calpha%20r)
![a_t=3.3\times \frac{21\times 10^{-2}}{2}](https://tex.z-dn.net/?f=a_t%3D3.3%5Ctimes%20%5Cfrac%7B21%5Ctimes%2010%5E%7B-2%7D%7D%7B2%7D)
![a_t=34.65\times 10^{-2}m/s^2](https://tex.z-dn.net/?f=a_t%3D34.65%5Ctimes%2010%5E%7B-2%7Dm%2Fs%5E2)
Radial acceleration,![a_r=\frac{v^2}{r}](https://tex.z-dn.net/?f=a_r%3D%5Cfrac%7Bv%5E2%7D%7Br%7D)
We know that
![a=\sqrt{a^2_t+a^2_r}](https://tex.z-dn.net/?f=a%3D%5Csqrt%7Ba%5E2_t%2Ba%5E2_r%7D)
Using the formula
![1.7=\sqrt{(34.65\times 10^{-2})^2+(\frac{v^2}{r})^2}](https://tex.z-dn.net/?f=1.7%3D%5Csqrt%7B%2834.65%5Ctimes%2010%5E%7B-2%7D%29%5E2%2B%28%5Cfrac%7Bv%5E2%7D%7Br%7D%29%5E2%7D)
Squaring on both sides
we get
![2.89=1200.6225\times 10^{-4}+\frac{v^4}{r^2}](https://tex.z-dn.net/?f=2.89%3D1200.6225%5Ctimes%2010%5E%7B-4%7D%2B%5Cfrac%7Bv%5E4%7D%7Br%5E2%7D)
![\frac{v^4}{r^2}=2.89-1200.6225\times 10^{-4}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E4%7D%7Br%5E2%7D%3D2.89-1200.6225%5Ctimes%2010%5E%7B-4%7D)
![v^4=r^2\times 2.7699](https://tex.z-dn.net/?f=v%5E4%3Dr%5E2%5Ctimes%202.7699)
![v^4=(10.5\times 10^{-2})^2\times 2.7699](https://tex.z-dn.net/?f=v%5E4%3D%2810.5%5Ctimes%2010%5E%7B-2%7D%29%5E2%5Ctimes%202.7699)
![v=((10.5\times 10^{-2})^2\times 2.7699)^{\frac{1}{4}}](https://tex.z-dn.net/?f=v%3D%28%2810.5%5Ctimes%2010%5E%7B-2%7D%29%5E2%5Ctimes%202.7699%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)
![v=0.418 m/s](https://tex.z-dn.net/?f=v%3D0.418%20m%2Fs)
Hence, the the linear speed (in m/s) of a point on the rim of this wheel at an instant=0.418 m/s