Show that the square of the period of revolution of a satellite is directly proportional to the cube of the orbital radius

11. The wavelength of the light ray in air is 0.589 x 10⁻⁶ m.

12. Angle of incidence for the light ray at point P is 43.23°.

13. The absolute index of refraction for medium X is 1.46

It states that the ratio of sine of angle of incidence and angle of refraction is equal to the refractive index of first medium to the second medium.

sini/sinr = n₁/n₂

11. The wavelength is related to the frequency as

λ = c/f

where c = 3 x 10⁸ m/s and frequency f = 5.09x 10¹⁴ Hz

Put the values, we get

λ = 3 x 10⁸/ 5.09x 10¹⁴

λ =0.589 x 10⁻⁶ m

Thus, the wavelength of the light ray in air is 0.589 x 10⁻⁶ m.

12. Given the angle of incidence is i, angle of refraction r =90° ,  n₂ = Refractive index of medium X = 1.46 and n₁ = Refractive index of air = 1

Substituting the values into Snell's law expression we get,

sin i= sin 90 x 1/1.46

i = 43.23 degrees

Thus, the angle of incidence is  43.23 degrees.

13. The refractive index is the ratio of speed of light  in vacuum to the speed of light in the medium X.

n = c/v₂

If v₂ is the velocity of light in medium X, then

sin i / sin r  = v₂/v₁

sin 43.23 / sin 90 =  v₂/ 3 x 10⁸

v₂ = 2.055 x 10⁸ m/s

So, the refractive index be

n = 3 x 10⁸/2.055 x 10⁸

n = 1.46

Thus, absolute index of refraction for medium X is 1.46

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Answer:

5595 m

Explanation:

The wave travels down   (the depth) and the back up (the depth again)

  this distance is     2 d

2 d =  1492 m/s * 7.5 s

2d = 11190 m

d = 5595 m

Answer:

Explanation:

Refractive index of denser medium w.r.t rarer medium

[tex]r[/tex]ч[tex]d[/tex][tex]=\frac{1}{sini_{c} }[/tex]

where, [tex]i_{c}[/tex]  = critical angle

I think you might be referring to this full question:

When a planet temporarily moves westward in the sky over the course of several weeks or months (instead of eastward, as it typically does), we call it:

When a planet temporarily moves westward in the sky over the course of several weeks or months we call it retrograde motion.

Retrograde motion is a movement that occurs when a planet rotates at a slower speed compared to another celestial body.

This type of slow movement (retrograde motion) gives us the illusion that the planet is retrograding regarding the other celestial body.

In conclusion, when a planet temporarily moves westward in the sky we call it retrograde motion.

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Answer:

stored

Explanation:

P. E . = m g h  

   represents STORED energy in the form of the height * acceleration of gravity * mass

The new force of attraction between the two objects will be 16 times the old case.

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

Gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

[tex]\rm F =\frac{GmM}{r^2}[/tex]

For case 1;

r₁=r

For case 2;

r₂=r/4

[tex]\rm F'=\frac{GmM}{(\frac{r}{4})^2} \\\\ F'=16 F[/tex]

Hence,the new force of attraction between the two objects will be 16 times the old case.

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Answer:

The answer is thallium.

Explanation:

Resonance would occur when a vibrating tuning fork is placed near another tuning fork of the same frequency.

Resonance can be defined as a phenomenon in which a physical object is forced to vibrate due to the vibration of a second object at the same natural frequency of the first object.

This ultimately implies that, resonance is an increase in the amplitude of oscillation that only occurs when the frequency of a periodically applied force is equal to the natural frequency of a physical object such as a tuning fork, on which it's acting.

In conclusion, we can infer and logically deduce that resonance would occur when a vibrating tuning fork is placed near another tuning fork of the same frequency.

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The time required by the 1 KW heater to raise the temperature of 10 L of water is 418.4 s

Q = MCΔT

Q = Pt

Pt = MCΔT

Divide both sides by P

t = MCΔT / P

t = (10000 × 4.184 × 10) / 1000

t = 418.4 s

Complete question

What time is required for a 1kw heater to raise the temperature of 10 liters of water to 10 degree Celsius?

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Answer:

Violet (Shortest Wave Length)

Explanation:

Violet waves have the highest frequencies. The highest frequencies have the shortest wave length.

The drag force is the force that opposes the movement of a body through a fluid.

The drag force is the force that opposes the movement of a body through a fluid. This occurs in cases such as when a car is moving through air.

Owing to the fact that drag force tends to slow down vehicles when they move at higher speed, vehicles that are meant for racing are streamlined to reduce the drag force.

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Any circuit diagram given the funda is same .

Answer:

see  picture
Sample Response: The lightbulb will light because this is a parallel circuit. Even though the switch is open in one branch, the branch the lightbulb is in forms a closed circuit, allowing the current to flow through the bulb.

Explanation:

Answer:

Yes, it is possible.

Explanation:

Hope this helps! :)

Answer:

it's possible since scientists have already progressed to making fully transparent & invisible human organs.

Answer

Its PO

Explanation:

I got it right on Edge.

Answer:

Explanation:

Magma contains dissolved gases, which provide the driving force that causes most volcanic eruptions. As magma rises towards the surface and pressure decreases, gases are released from the liquid portion of the magma (melt) and continue to travel upward, and are eventually released into the atmosphere.

The mass of the bullet moving at the given values of velocity and kinetic energy is 6.4 × 10⁻⁴ kilogram.

Kinetic energy is simply a form of energy that a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given the data in the question;

We substitute our given values into the expression above.

K = (1/2)mv²

3000kgm²/s² = 0.5 × m × (970m/s)²

3000kgm²/s² = 0.5 × m × 940900m²/s²

3000kgm²/s² = m × 470450m²/s²

m = 3000kgm²/s² ÷ 470450m²/s²

m = 0.00064kg

m = 6.4 × 10⁻⁴kg

Therefore, the mass of the bullet moving at the given values of velocity and kinetic energy is 6.4 × 10⁻⁴ kilogram.

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v=35m/s

t=9

Spontaneous fission is a nuclear equation represents a spontaneous decay.

Spontaneous fission is another type of radioactive decay. In this process, the nucleus will split into two parts and free neutrons with the release of large amount of energy.

So we can conclude that spontaneous fission is a nuclear equation represents a spontaneous decay.

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Remember the formula

[tex]\\ \rm\Rrightarrow A(t)=A_o(0.5)^{\frac{t}{h}}[/tex]

[tex]\\ \rm\Rrightarrow A(7.82\times 10)=A(78.2)[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{\frac{78.2}{3.91\times 10^{5}}}[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{20\times 10^{-5}}[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.5)^{0.0002}[/tex]

[tex]\\ \rm\Rrightarrow 4.11\times 10^{76}(0.998)[/tex]

[tex]\\ \rm\Rrightarrow 4.10178\times 10^{76}[/tex]

Why no options matched?

That time given in end i.e 7.82×10

The number of nuclei  of calcium-47 left after 7.82 x 10⁵s is 1.03 x 10¹⁶.

This can be found out using half life and laws of radioactive disintegration.

The Law of radioactive disintegration states  the number of  radioactive decay per unit time is proportional to the number of nuclei present in the sample initially.

So,  ΔN/Δt = λN

Where, ΔN = number of radioactive nuclei decayed

Δt = time taken for decay

N = No of nuclei present initially

λ= decay constant

Half life is the time taken for the radioactive nuclei to reach half of its initial value.

Half life is given by

 [tex]t_{1/2}[/tex] =  λ/t

Given here,  [tex]t_{1/2}[/tex] =  3/91 x 10.⁵s

N = 4.11 x 10¹⁶.

t = 7.82 x 10.⁵s

We see  here that  t = 2([tex]t_{1/2}[/tex])

Now, number of radioactive nuclei left undecayed in  one half life is N/2

So number of nuclei left undecayed in 2 half lives will be 1/2(N/2) = N/4

So number of nuclei left in the sample will be N/4 = (4.11 x 10¹⁶.)/4

So Number of nuclei left in the sample = 1.03 x 10¹⁶.

Hence 1.03 x 10¹⁶is the correct answer.

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Answer:

cows a consumer

Explanation:

because it can make food by its own

The amount of light collected by Magellan telescope with respect to human eyes is 1.13 x 10⁶  times that of human pupil.

The amount of light that will pass through the given area of human pupil when maximally dilated is calculated as follows;

A = πd²/4

A = π(0.01)²/4

A = 2.5 x 10⁻⁵π m²

A = πd²/4

A = π(6)²/4

A = 9π m²

with respect to human eyes = ( 9π m²)/(2.5 x 10⁻⁵π m²)

= 1.13 x 10⁶  x human pupil

Thus, the amount of light collected by Magellan telescope with respect to human eyes is 1.13 x 10⁶  times that of human pupil.

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The magnitude of the induced current is, (I=9 /R). The principal of ohm's law is employed in the given problem.

Emf is the production of a potential difference in a coil as a result of changes in the magnetic flux passing through it.

When the flux coupling with a conductor or coil changes, electromotive force, or EMF, is said to be induced.

The given data in the problem is;

B is the magnetic field,= 2t^2−3.

t(time)=3 sec

The induced EMF is found as;

[tex]\rm E= \frac{d \phi}{dt} \\\\\ \rm E= \frac{d(2t^2-3)}{dt} \\\\\ E=4t-3\\\\\ t= 3 sec \\\\ E=12-3 \\\\\ E= 9 \ V[/tex]

From ohm's law;

E=IR

I=E/R

I=9 /R

Hence,the magnitude of the induced current is, (I=9 /R).

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Answer:

atoms bond together and forms molecules

Answer:

Atoms

Explanation:

this is because when atoms join or bond together forms a molecule

Answer:

Explanation:

1. If we increase the distance to twice it's original value, the light intensity is reduced by one-fourth, the light intensity would be:

I0/4

2. rms magnetic field is inversely proportional to distance, so the new rms magnetic field would be:

B0/2

3. average energy density is inversely proportional to the square of the distance, so the new average energy density is:

E0/4

Answer:

.439 Hz

Explanation:

Wavelength = 6.6 m

speed = 2.9 m/s

  2.9 = 6.6 f

f = 2.9/6.6 =  .439 Hz