Answer:
30.66 knots
Explanation:
Distance of ship A from B at noon = 50 NM
= Velocity of ship A = 22 knots = 22 NM/h
= Velocity of ship B = 23 knots = 23 NM/h
Distance travelled by ship A from noon to 3 PM = 22×3 = 66 NM
a = Total distance travelled by ship A = 50+66 = 116 NM
b = Total distance travelled by ship B till 3 PM = 23×3 = 69 NM
c = Distance between Ship A and B at 3 PM = √(116²+69²) = 134.97 NM
a²+b² = c² (Pythagoras theorem)
Now differentiating with respect to time

∴ The velocity with which the distance is changing at 3 PM (3 hours later) is 30.66 knots
Answer:
8.51 m/s
Explanation:
Velocity = Displacement/Time
Velocity = 400 m ÷ 47 s
<u>Velocity</u><u> </u><u>=</u><u> </u><u>8</u><u>.</u><u>5</u><u>1</u><u> </u><u>m</u><u>/</u><u>s</u>
Answer:
θ = 10.28º
Explanation:
To find the angle of refraction use the equation of refraction
n₁ sin θ₁ = n₂ sin θ₂
where index 1 is for incident light and index 2 is for refracted light.
sin θ₂ = n₁ / n₂ sin θ
let's calculate
sin = 1 / 1.3 sin 0.23
sin = 0.175
θ= 0.17528 rad
let's reduce to degrees
θ = 0.17528 rad (180ª / pi rad)
θ = 10.28º
Answer:
The minimum thickness of the soap bubble for destructive interference to occur is 225.56 nm.
Explanation:
Given;
wavelength of light, λ = 600 nm
The minimum thickness of the soap bubble for destructive interference to occur is given by;

where;
n is refractive index of soap film = 1.33

Therefore, the minimum thickness of the soap bubble for destructive interference to occur is 225.56 nm.