The angles for the first-order diffraction of the shortest and longest wavelengths of visible light are 22.33 ⁰ and 49.46 ⁰ respectively.
<h3>Angle for the first order diffraction</h3>
The angle for the first order diffraction is calculated as follows;
dsinθ = mλ
sinθ = mλ/d
<h3>For shortest wavelength (λ = 380 nm)</h3>
d = 1/10,000 lines/cm
d = 1 x 10⁻⁴ cm x 10⁻² m/cm = 1 x 10⁻⁶ m/lines
sinθ = (1 x 380 x 10⁻⁹)/(1 x 10⁻⁶)
sinθ = 0.38
θ = sin⁻¹(0.38)
θ = 22.33 ⁰
<h3>For longest wavelength (λ = 760 nm)</h3>
sinθ = (1 x 760 x 10⁻⁹)/(1 x 10⁻⁶)
sinθ = 0.76
θ = sin⁻¹(0.76)
θ = 49.46 ⁰
Learn more about diffraction here: brainly.com/question/16749356
#SPJ1
Answer:
Part(i) the time taken for this cart to reach the bottom of the inclined plane is 1.457 s
Part(ii) the velocity of the cart when it reaches the bottom of the inclined plane is 4.531 m/s
Part(iii) the kinetic energy of the cart when it reaches the bottom of the inclined plane is 25.663 J
Explanation:
Given;
mass of the cart = 2.5 kg
angle of inclination, β = 18.5⁰
length of inclined plane = 3.3m
Part(i) the time taken for this cart to reach the bottom of the inclined plane
s = ut + ¹/₂×at²
initial vertical velocity, u = 0
s = 3.3 m
s = ¹/₂×at²
acceleration, of the cart, a = gsinβ
a = 9.8sin(18.5) = 3.11 m/s²
Part(ii) the velocity of the cart when it reaches the bottom of the inclined plane
V = a×t
V = 3.11 × 1.457 = 4.531 m/s
Part(iii) the kinetic energy of the cart when it reaches the bottom of the inclined plane
KE = ¹/₂MV²
= ¹/₂ × 2.5× (4.531)²
= 25.663 J
Answer:
50N
The table is managing to keep the dog up, the dog is not moving up or down so the force that the table applies to the dog must be equal to the dogs weight - I draw this conclusion from Newton's 3rd law.
W= mg
W = 5 × 9.8
W = 49N
round to.one significant figure = 50N
Answer:
as
- Mass of sun > Mass of earth
Therefore, the sun will exert more gravitational force on earth.
Explanation:
While comparing the gravitational force exerted by two objects, we need to observe which object has a greater mass.
- The object with the greater mass exerts a more gravitational force on the other object.
We know that mass of the sun is about 1.99 x 10³⁰ kg, and the earth's mass is only 6.0 x 10²⁴.
as
- Mass of sun > Mass of earth
Therefore, the sun will exert more gravitational force on earth.
Answer:
a. Magnetic field is a location of a vector field around an electric current or magnet formed due to moving electric charges, or magnetic material and has a magnetic effect and exerts a force on other magnetic materials, electric current, and electric charges. The Earth's magnetic field that has the effect of turning a compass needle is an example of a magnetic field
b. The number of turns of the coil, N, in Diagram 1.1 > The number of turns of the coil, N, in Diagram 1.2
The pattern of the iron filings in Diagram 1.1 are closer with less space in between than the pattern of iron filings in Diagram 1.2
The angle of deflection of the ammeter pointer in Diagram 1.1 will be > The angle of deflection of the ammeter pointer in Diagram 1.2, given that the number of turns and current are inversely proportional
c. i. The pattern of the iron filings will have rings which are more closely arranged to each other as the strength of the magnetic field is increased
ii. As the number of turns is increased, the magnetic field is increased
Explanation:
