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Jlenok [28]
3 years ago
9

A diver shines light up to the surface of a flat glass-bottomed boat at an angle of 30° relative to the normal. If the index of

refraction of water and glass are 1.33 and 1.5, respectively, at what angle (in degrees) does the light leave the glass (relative to its normal)?
A. 26
B. 35
C. 42
D. 22
E. 48
Physics
1 answer:
son4ous [18]3 years ago
7 0

Answer:

<h2>35</h2>

Explanation:

According to snell's law which states that the ratio of the sin of incidence (i) to the angle of refraction(n) is a constant for a given pair of media.

sini/sinr = n

n is the constant = refractive index

Since the diver shines light up to the surface of a flat glass-bottomed boat, the refractive index n = nw/ng

nw is the refractive index of water and ng is that of glass

sini/sinr = nw/ng

given i = 30°, nw = 1.33, ng = 1.5, r = angle the light leave the glass

On substitution;

sin 30/sinr = 1.33/1.5

1.5sin30 = 1.33sinr

sinr = 1.5sin30/1.33

sinr = 0.75/1.33

sinr = 0.5639

r = arcsin0.5639

r ≈35°

angle the light leave the glass is 35°

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In each of two coils the rate of change of the magnetic flux in a single loop is the same. The emf induced in coil 1, which has
Nat2105 [25]

Answer:

303

Explanation:

We are given that

Emf in coil 1,E_1=3.13 V

Emf induced in coil 2,E_2=4.16 V

Number of loops in coil 1,N_1=228

We have to find the number of loops in coil 2.

Rat of change of magnetic flux in a single loop is same.

Let \phi_1 and \phi_2 be the magnetic flux in coil 1 and coil 2.

\frac{d\phi_1}{dt}=\frac{d\phi_2}{dt}

\frac{V_2}{V_1}=\frac{N_2}{N_1}

Using the formula

\frac{E_2}{E_1}=\frac{N_2}{N_1}

\frac{4.16}{3.13}=\frac{N_2}{228}

N_2=\frac{4.16}{3.13}\times 228

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Hence, the number of loops in coil 2=303

5 0
2 years ago
A 1200-kg SUV is moving alone a straight highway at 12.0 m/s. Another car, with mass 1800 kg and speed 20.0 m/s, has its center
andreev551 [17]

Answer:

A) d = 24 m

B) 50400 kg.m/s

C) v₀ = 16.8 m/s

D) 50400 kg.m/s. It's equal to the momentum found in part B.

Explanation:

We are given;

Mass of station wagon;m1 = 1200 kg Velocity; V = 12 m/s

Mass of car; m2 = 1800 kg

Velocity of car; v2 = 20 m/s

a ) Let centre of mass of car and station wagon be at a distance d from wagon

Thus,

If we take moment of weight about it, we have;

1200 x d = 1800 x ( 40 - d )

Where, d is the position of the center of mass of the system consisting of the two cars

Thus,

1200d = 72000 - 1800d

1200d + 1800d = 72000

3000 d = 72,000

d = 72,000/3000

d = 24 m

b ) Total momentum= m1•v1 + m2•v2

= (1200 x 12) + (1800 x 20)

= 14400 + 36000

= 50400 kg.m/s

c ) Let speed of centre of mass be v₀

Thus,

v₀ = (m1•v1 + m2•v2)/(m1 + m2)

v₀ = 50400/(1200 + 1800)

v₀ = 50400/3000

v₀ = 16.8 m/s

d) System Total momentum = velocity of centre mass x total mass

Thus,

Total momentum = v₀(m1 + m2)

= 16.8(3000) = 50400 kg.m/s .

This value is equal to what was calculated in part b

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Answer:

<u>666.6 kW</u>

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<u>Power Formula</u>

  • Power = Force × Velocity

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