Answer:
2.5 m/s²
Explanation:
Acceleration: This can be defined as the rate of change of velocity.
The S.I unit of acceleration is m/s²
For circular motion, the expression for acceleration is given as,
a = ω²r ................ Equation 1
Where a = acceleration of the particle, ω = angular speed of the particle, r = radius of the circular path.
Given: ω = 5 rev/s = 31.42 rad/s, r = 0.10 m.
Substitute into equation 1
a = 5²(0.10)
a = 25(0.10)
a = 2.5 m/s²
Hence the acceleration of the particle = 2.5 m/s²
Hence, none of the option is correct
Answer:
(a) λ = 4136 nm → infrared
(b) λ = 413.6 nm → visible light
(c) λ = 41.36 nm → ultraviolet
Explanation:
The wavelength of infrared is on the range of 700 nm to 1000000 nm
The wavelength of visible light is between 400 nm and 700 nm
The wavelength of ultraviolet ray on the range of 10 nm to 400 nm
The wavelength of photon is given by;
E = hf
f is the frequency of the wave = c / λ
![E = h\frac{c}{\lambda}\\\\ \lambda = \frac{hc}{E}](https://tex.z-dn.net/?f=E%20%3D%20h%5Cfrac%7Bc%7D%7B%5Clambda%7D%5C%5C%5C%5C%20%5Clambda%20%3D%20%5Cfrac%7Bhc%7D%7BE%7D)
Where;
c is the speed of light = 3 x 10⁸ m/s
h is Planck's constant = 6.626 x 10⁻³⁴ J/s
(a) 0.3 eV = 0.3 x 1.602 x 10⁻¹⁹ J
![\lambda = \frac{(6.626 * 10^{-34})(3*10^8)}{(0.3)*(1.602*10^{-19})}\\\\\lambda = 4.136 *10^{-6} \ m](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7B%286.626%20%2A%2010%5E%7B-34%7D%29%283%2A10%5E8%29%7D%7B%280.3%29%2A%281.602%2A10%5E%7B-19%7D%29%7D%5C%5C%5C%5C%5Clambda%20%3D%204.136%20%2A10%5E%7B-6%7D%20%5C%20m)
λ = 4136 x 10⁻⁹ m
λ = 4136 nm → infrared
(b) 3.0 eV
![\lambda = \frac{(6.626 * 10^{-34})(3*10^8)}{(3)*(1.602*10^{-19})}\\\\\lambda = 4.136 *10^{-7} \ m](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7B%286.626%20%2A%2010%5E%7B-34%7D%29%283%2A10%5E8%29%7D%7B%283%29%2A%281.602%2A10%5E%7B-19%7D%29%7D%5C%5C%5C%5C%5Clambda%20%3D%204.136%20%2A10%5E%7B-7%7D%20%5C%20m)
λ = 413.6 x 10⁻⁹ m
λ = 413.6 nm →visible light
(c) 30 eV
![\lambda = \frac{(6.626 * 10^{-34})(3*10^8)}{(30)*(1.602*10^{-19})}\\\\\lambda = 4.136 *10^{-8} \ m](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7B%286.626%20%2A%2010%5E%7B-34%7D%29%283%2A10%5E8%29%7D%7B%2830%29%2A%281.602%2A10%5E%7B-19%7D%29%7D%5C%5C%5C%5C%5Clambda%20%3D%204.136%20%2A10%5E%7B-8%7D%20%5C%20m)
λ = 41.36 x 10⁻⁹ m
λ = 41.36 nm →ultraviolet
Yes. Displacement is a vector, as opposed to distance, which is a scalar. Since displacement is a vector quantity, the negative sign represents direction. As with velocity and acceleration, it just comes down to how you define your coordinate system
The king gave them all fake seeds, the little girl was the only honest child who didn't switch seeds.
Answer:
Radiation
Explanation:
Radiation is the type of heat transfer through the electromagnetic waves. Transfer of heat by radiation can occur in space/vacuum as in between the sun and the earth
On the other hand:
Conduction is the transfer of heat through touching on objects while convection is the transfer of heat as a result of moving currents in liquids or gases.
Hope this helps :)