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4 years ago

Will mark as brainliest if correct!!!!

Physics

1 answer:

Alex787 [66]4 years ago

4 0

Because light travels more quickly in D. glass than in diamond

Explanation:

Refraction is a phenomenon of light waves that occurs when a light way crosses the boundary between two different mediums. When this happens, the wave changes its direction and also its speed. In particular, there is an equation (called Snell's law) that descrives the direction of the refracted ray relative to the incident ray:

$n_1 sin \theta_1 = n_2 sin \theta_2$

where

$n_1, n_2$ are the index of refraction of medium 1 and 2, respectively

$\theta_1$ is the angle of incidence (the angle between the incident ray and the normal to the boundary between the two mediums)

$\theta_2$ is the angle of refraction (the angle between the refraction ray and the normal to the boundary between the two mediums)

The equation can also be written as

$\frac{sin \theta_2}{sin \theta_1}=\frac{n_1}{n_2}$ (1)

The index of refraction of a medium is equal to

$n=\frac{c}{v}$

where

c is the speed of light in a vacuum

v is the speed of light in the medium

Using this, we can rewrite (1) as

$sin \theta_2 = \frac{n_1}{n_2}sin \theta_1 = \frac{v_2}{v_1} sin \theta_1$

where $v_2$ is the speed of light in the 2nd medium and $v_1$ the speed of light in the 1st medium.

Here we are comparing two situations:

1) Light passing from air to glass

2) Light passing from air to diamond

We are said that light is refracted by a greater amount when it passes from air to diamond: this means that in situation 2), the value of $sin \theta_2$ is smaller than in situation 1) (keep in mind that the angle is measured with respect to the normal, so a larger refraction means a smaller angle, since the refracted ray bends towards the normal). And therefore, this means that the ratio $\frac{v_2}{v_1}$ is smaller for case 2) rather than for case 1): since $v_1$ in both cases is the same (the speed of light in air), this means that light travels more quickly in glass than in diamond, so option D.

In fact, by comparison:

Index of refraction in glass: 1.66

Index of refraction in diamond: 2.41

Which means that light travels faster in glass.

Learn more about refraction:

brainly.com/question/3183125

brainly.com/question/12370040

#LearnwithBrainly

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Answer:

r = 0.02 m

Explanation:

from the question we have :

speed = 1 rps = 1x 60 = 60 rpm

coefficient of friction (μ) = 0.1

acceleration due to gravity (g) = 9.8 m/s^{2}

maximum distance without falling off (r) = ?

to get how far from the center of the disk the coin can be placed without having to slip off we equate the formula for the centrifugal force with the frictional force on the turntable force

mv^2 / r = m x g x μ

v^2 / r = g x μ .......equation 1

where

velocity (v) = angular speed (rads/seconds) x radius

angular speed (rads/seconds) = (\frac{2π}{60} ) x rpm

angular speed (rads/seconds) = (\frac{2 x π}{60} ) x 60 = 6.28 rads/ seconds

now

velocity = 6.28 x r = 6.28 r

now substituting the value of velocity into equation 1

v^2 / r = g x μ

(6.28r)^2 / r = 9.8 x 0.1

39.5 x r = 0.98

r = 0.02 m

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3 years ago

block of mass 5kgriding on a horizontal frictionlessxy-plane surface is subjected tothree applied forces:→F1= 12√2N[ 45◦]→F2= (8

dsp73

Answer:

(i) See attached image for the drawing

(ii) net force given in component form: (20, 20)N with magnitude: $\sqrt{800} \,\,\,N$

Explanation:

First try to write all forces in vector component form:

The force F1 acting at 45 degrees would have multiplication factors of $\frac{\sqrt{2} }{2}$ on both axes, to take care of the sine and cosine projections. Therefore, the:

x-component of F1 is $F1_x=12\,\sqrt{2} \frac{\sqrt{2} }{2} =12\,\,N$

y-component of F1 is $F1_y=12\,\sqrt{2} \frac{\sqrt{2} }{2} =12\,\,N$

As far as force F2, it is given already in x and y components, then:

x-component of F2 = 8 N

y-component of F2 = -6 N (negative meaning pointing down the y-axis)

Force F3 has only component (upwards) in the y-direction

x-component of F3 = 0 N

y-component of F3 =14 N

The additions of all these component by component, gives the resultant force (R) acting on the 5 kg mass:

x-component of R = 12 + 8 = 20 N

y-component of R = 12 + 14 - 6 = 20 N

Therefore, the acceleration that the mass receives due to this force is given in component form as:

x-component of acceleration: 20 N / 5 kg = $4\,\,\,m/s^2$

y-component of acceleration: 20 N / 5 kg = $4\,\,\,m/s^2$

Now we can calculate the components of the velocity of this mass after 2 seconds of being accelerated by this force, using the formula of acceleration times time:

x-component of the velocity is: $v_x=4\,*\,2=8\,m/s$