Answer: 9cm
Explanation:
Refractive index can also be defined as the ratio of the real depth to the apparent depth.
Given that the
Real depth = 12 m
Refractive index of water = 1.33
Refractive index of air = 1.00
nair/nwater = real depth/apparent depth
Substitute all the parameters into the formula
1.33/1 = 12/ apparent depth
Cross multiply
1.33 Apparent depth = 12
Apparent depth = 12/1.33
Apparent depth = 9.02 cm
Therefore, A submerged swimmer in the pool sees the tip of the triangle at 9cm approximately distance above the water.
Answer:
v = 27.456 m/s
Explanation:
The support pressure needed of the water in the straw can be calculated by the formula
Given that,
P = r*g*h
= 1000*9.8*0.05 Pa.= 490 Pa
This pressure is compensated by 0.5*r*v^2 of the air,
Hence,
0.5*1.3*v^2 = 490
velocity of air blown into the straw =
v = 27.456 m/s
Hi there!
We can use the following (derived) equation to solve for the final velocity given height:
vf = √2gh
We can rearrange to solve for height:
vf² = 2gh
vf²/2g = h
Plug in the given values (g = 9.81 m/s²)
(13)²/2(9.81) = 8.614 m
We can calculate time using the equation:
vf = vi + at, where:
vi = initial velocity (since dropped from rest, = 0 m/s)
a = acceleration (in this instance, due to gravity)
Plug in values:
13 = at
13/a = t
13/9.81 = 1.325 sec
The relevant equation we can use in this problem is:
h = v0 t + 0.5 g t^2
where h is height, v0 is initial velocity, t is time, g is
gravity
Since it was stated that the rock was drop, so it was free
fall and v0 = 0, therefore:
h = 0 + 0.5 * 9.81 m/s^2 * (4.9 s)^2
<span>h = 117.77 m</span>
Answer:
R = 1.2295 10⁵ m
Explanation:
After reading your problem they give us the diameter of the lens d = 4.50 cm = 0.0450 m, therefore if we use the Rayleigh criterion for the resolution in the diffraction phenomenon, we have that the minimum separation occurs in the first minimum of diffraction of one of the bodies m = 1 coincides with the central maximum of the other body
θ = 1.22 λ / D
where the constant 1.22 leaves the resolution in polar coordinates and D is the lens aperture
how angles are measured in radians
θ = y / R
where y is the separation of the two bodies (bulbs) y = 2 m and R the distance from the bulbs to the lens
R =
let's calculate
R =
R = 1.2295 10⁵ m