light is refracted through a diamond. if the angle of incidence is 30°, and the angle of refraction is 12°, what is the index of refraction?

The movement occurs as . Each orbit has a different energy, and electrons can move to other orbits by emitting or absorbing energy, which is also quantized.

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The minimum kinetic energy in electron volts that an electron must have while travelling inside a slab of crown glass is 0.16715 Mev.

Given that, refractive index of glass is 1.52

n = 1.52

We know the formula for refractive index as, n = c / v

where, c is the speed of light

The speed of light in glass is v

v = c / n = (3* 10⁸)/(1.52) = 1.9723 * 10⁸ m/s

We know the formula for kinetic energy as,

KE = mc²/√[1 - (v²/c²)] - mc²

where, m is the mass of electron

KE = 9.1094* 10⁻³¹*(3* 10⁸)²/√[1 - (1.9723 * 10⁸)²/(3* 10⁸)²)] - 9.1094* 10⁻³¹* (3* 10⁸)² = 2.678 * 10⁻¹⁴ = 0.16715 Mev

The question is incomplete. The complete question is, "The Russian physicist P. A. Crenkov discovered that a charged particle traveling in a solid with a speed exceeding the speed of light in that material radiates electromagnetic radiation. (This phenomenon is analogous to the sonic boom produced by an aircraft moving faster than the speed of sound in air. Cerenkov shared the 1958 Nobel Prize for this discovery. What is the minimum kinetic energy (in electronvolts) that an electron must have while traveling inside a slab of crown glass n = 1.52 in order to create Cerenkov radiation?"

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Coefficients of friction would be the same for two pairs of the same shoes in different sizes as coefficient of friction does not depend on the size of shoes and weight.

The force of friction does not depend on the area of the contact and friction slows a moving object down. Frictional force depends on the nature of the surfaces in contact and the materials.

The coefficient of friction depends on the objects that are causing friction and the value is usually between 0 and 1 . A value of 0 means there is no friction between the objects.

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Answer:

Time, t = 0.57 hours or 34 minutes and 12 seconds.

Explanation:

Given:
Speed of the school bus, s = 35 mi/hr
Distance covered by the bus, d = 20 miles

Speed(s) is equal to Distance over Time (s=d/t)
Meaning time is equal to distance over speed (t=d/s)

plugging our given information into the formula, we know Time is equal to 20 over 35 (t=20/35)

20/35=0.57, so
t = 0.57 hours

the time taken by the bus to reach school is 0.57 hours or 34 minutes and 12 seconds.

Answer:

Explanation:

Mathematically, speed is given by this formula;

Speed=distance/time

Making time the subject of formula, we have:

Time = distance/speed

Substituting the given parameters into the formula, we have;

Time = 20/35

Time = 0.571 hours.

80 kilometers east in two hours in a car. The car has a westward speed is 40 km/h.

The vector illustration expression of velocity is the movement in space-time of an object or particle. The recognized unit of velocity magnitude is the centimeter per second (m/s) (also known as speed).

Speed is the rate at which an object is moving across a path over time, whereas velocity is the speed or direction that an organism is moving. In other words, velocity is a scalar value, but velocity is a vectors.

An object's velocity is a vector quantity. Both magnitudes and direction are present.

Arrows serve as directional indicators.

Car A is traveling west. Moving in an east-south direction is Car B. Vehicle C is traveling in a southerly direction. Vehicle E is traveling in a northerly direction.

Therefore, the Car is moving west at a speed of 40 km/h.

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The gravitational force of the Earth is 686N.

Gravitational force is a very long-range, but relatively weak fundamental force of attraction that acts between all particles that have mass; believed to be mediated by gravitons.

The equation to calculate gravitational force is as follows:

F = Gm₁m₂/r²

Where;

F = 6.674 × 10-¹¹ {5.98 × 10²⁴ × 70}/(6.38 × 10⁶)²

F = 6.674 × 10-¹¹ {4.186 × 10²⁶ ÷ 4.07 × 10¹³}

F = 6.674 × 10-¹¹ {1.03 × 10¹³}

F = 6.86 × 10²

F = 686N

Therefore, 686N is the gravitational force.

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The amount of heat generated for each cylinder height is found out to be

100 m : 4.9 kJ

200 m : 9.8 kJ

1000 m : 49.1 kJ

In order to calculate this, you just have to calculate the PE of every cylinder and formula for PE is:

PE = g* h* m

where, m is mass

h is height

g is gravity

So, we just have to insert the values into the formula, to obtain results.

For 100m cylinder, PE = g* h* m

PE = 9.8* 100* 5 = 4900 J = 4.9 kJ

For 200m cylinder,

PE = 9.8* 200* 1 = 9800 J = 9.8 kJ

For 1000m cylinder,

PE = 9.8* 1000* 1 = 49100 J = 49.1 kJ

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Objects such as the Great Nebula in Andromeda were once called extragalactic nebulae. It is now realized that they are actually.

Extragalactic systems are systems containing objects that lie outside the Milky Way. The branch of astronomy that deals with this massive region of space is called Extragalactic Astronomy. In other words, it is the polar opposite of Galactic Astronomy.

Astronomers believe they've spotted the first extragalactic exoplanet beyond our own galaxy. Residing some 28 million light-years away near the heart of the Whirlpool Galaxy (M51), the binary system M51-ULS-1 consists of either a neutron star or a black hole that's tangoing with a more standard companion star.

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Answer: Fa = 52,5N

Explanation: The force that causes an object to move is called Force of application which is calculated by the formula Fa = m × a (Force of application = mass multiplied by the acceleration)

=> Fa = m × a

Fa = 35kg × 1.5m/s²

Fa = 52.5N

Regarding the masses of antimatter particles, the true statement is: A. The mass of an antimatter particle is the negative value of that of its corresponding matter particle.

Matter is any substance made up of particles that takes up space by their volume and also have mass. Meanwhile, antimatter is a particle made up of antiparticles of the corresponding ordinary particles. One of the differences between matter and antimatter is the charge of their mass. An antimatter has the opposite electric charge of its corresponding matter. So, it is safe to say that the mass of an antimatter particle is the negative value of its corresponding particle.

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The amount of heat that  is dropped in the hot reservoir is equal to 100 J. Option A

According to the first law of thermodynamics, we know that energy can neither be created nor destroyed but can be converted from one form another.  

We can see that as the heat is transferred from the we do some work so as to be able to extracts heat from a cold reservoir and dumps heat into a hot reservoir. Since heat can neither be created nor destroyed, the heat that is dumped must be equal to the amount of heat that is extracted.

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Answer:

SUV's velocity is 22 m/s

Explanation:

[tex]F=\frac{mv^{2} }{r} \\\\v=\sqrt{\frac{Fr}{m} } \\\\v=\sqrt{\frac{14236 N * 85 m}{2500 kg} } \\\\v=22 \frac{m}{s}[/tex]

5.94 ×10-26 J of energy of photons of radio waves is required to leave an FM station having 90MHz broadcast frequency

A photon's energy E and frequency f are exactly related. This is expressed mathematically as

Equation

E=hf      (1)                       

where h is the Planck constant.

Given that the frequency of the radio wave is f=90 MHz

=9.0×107 Hz

and knowing the fact that the numerical value of Planck's constant is h=6.6×10−34 m-m-kg/s

then the energy of the photon in J using Eq. (1) is:

E=6.6×10−34× 9×107

E=5.94 ×10-26 J

what is Frequancy?

The frequency of a repeated event is its number of instances per time unit.   It differs from angular frequency and is sometimes referred to as frequency for clarification. The unit of frequency is hertz (Hz), or one occurrence per second. The duration is the inverse of frequency since it is the amount of time that passes between events.

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Answer:

First, write the velocities in component f…

Explanation:

As per as calculations

Answer:

The law of conservation of matter.

A full grocery cart requires more force to push than an empty one because the weight of the groceries is pushing down on the cart, and the cart itself is resisting this downward force.

The near point of a person whose eyes have an accommodated power of 54.8d (assuming a lens-to-retina distance of 2cm is 20.83cm.

It is the process by which certain muscles (called ciliary muscles) function to change the focal length of the eyes so that the image is clearly formed on the retina which is called accommodation of the eye.

How to calculate the near point based on the information given from the question?

Power = P = 54.8D

Distance between the lens and the retina, Di = 2cm = 0.02m

Distance between the object and eyes, Do (we are trying to answer this)

The formula that we will use :
1 / Do = P - 1 / Di

1 / Do = 54.8 - 1 / 0.02

1 / Do = 4.8

Do = 1 / 4.8

Do = 0.2083m = 20.83cm

Therefore, the near point of a person whose eyes have an accomodated power of 54.8D is 20.83cm.

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The amount of work requires is W=[tex]\frac{4qq_{o}}{225\pi e_{o}R^{2} }[/tex]

What is a sphere?

A sphere is a spherical, three-dimensional object. Three axes—the x, y, and z axes—are used to define the sphere. Between a circle and a sphere, this is the primary distinction. Like other 3D objects, a sphere has no edges nor vertices.

Given

Radius of Conducting Sphere is R with Positive charge q

Small sphere is at a distance of r=5 R which is required to move slowly to r=3 R

So, Electric Potential Energy Between two Charged Particle will be

U=k.[tex]\frac{q_{1}q_{2}}{r^{2} }[/tex]

Now, the initial potential energy

[tex]U_{1}[/tex]=k.[tex]\frac{qq_{o}}{5R^{2} }[/tex]

[tex]U_{1}[/tex]= k.[tex]\frac{qq_{o}}{25R^{2} }[/tex]

at r=3R

[tex]U_{2}[/tex]= k. [tex]\frac{qq_{o} }{(3R)^{2} }[/tex]

[tex]U_{2}[/tex] = k. [tex]\frac{qq_{o} }{9R^{2} }[/tex]

Work done=[tex]U_{2}[/tex]-[tex]U_{1}[/tex]

W = k. [tex]\frac{qq_{o}}{9R^{2} }[/tex] - k. [tex]\frac{qq_{o}}{25R^{2} }[/tex]

W = k. [tex]\frac{qq_{o}}{R^{2} }[/tex] [tex]\left[\frac{1}{9}-\frac{1}{25}][/tex]

W = k. [tex]\frac{qq_{o}}{R^{2} }[/tex].[tex]\left[\frac{16}{225} ][/tex]

W = [tex]\frac{1}{4\pi e_{o} }[/tex].[tex]\frac{qq_{o}}{R^{2} }[/tex].[tex]\left[\frac{16}{225} ][/tex]

W= [tex]\frac{4qq_{o} }{225\pi e_{o}R^{2} } }[/tex]

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Advantages of simplifying combinational logic circuits:

1. Simplified uses fewer gates to provide the same logic properties as necessary.

2. A circuit with fewer gates is smaller and less expensive than an original.

3. Because there are fewer interconnections, the reliability of the circuit will increase.

4. The circuit's operating speed goes up.

5.There are no redundant gates because of the simplification.

How simplifying combinational logic circuits make designs more efficient and beneficial to society?

It is challenging to design a circuit if it is complex, so the circuit should be as basic as feasible before design. We may need to provide a less amount of power if there are more gates. Therefore, combinational logic circuit simplification is good for society.

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The magnitude of the electric field will be greater where the lines of the charges are closest to each other.

An electric field is defined as an area that holds the electrically charged particles in its physical field and the electric field also exerts a force on all charged particles either attracting them or repelling them. If the force that is exerted on the charged particle varies from one point in the field to other then the electric field is said to be non-uniform.

In opposite charges, zero is not a possibility between two charges because the field vectors from both opposite charges will head toward the negative charge.

So we can conclude that the point where the field is zero does not exist.

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Cell membrane - It acts as a barrier for the inner and out environments of the cell and it controls what goes in and what comes out of the cell.

Nucleus - It stores genetic code or the instructions on how the cell should work. It also controls the metabolic reactions inside the cell.

F"=4F/9 or F"=4F ÷9 is the magnitude for the force acting on the 4q charge.

Coulomb's law states that the magnitude of the forces between Q and 4Q is,

F'=КQ×4Q÷d²

= 4F ---------------------------(1)

Now, if the distance is made 3 times greater than before, or in three dimensions,

F''=КQ×4Q÷ (3d)²

Or F''= 4КQ² ÷ 9d²

or,  F''= 4÷9 × ₍КQ²÷ d²₎

or,  F''= 4F/9

Coulomb's law: a rule indicating that opposing charges attract and similar charges repel, with a force proportional to the product of the charges and inversely proportional to the square of the space between them.

Dimensions: an area that may be measured for its length, width, depth, or height.

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The magnitude of acceleration of the box be 7.14 m/s².

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Mass of the box be: m = 7 kg.

Force applied on it: F = 50 N.

From Newton's second law of motion, we can write:

force = mass × acceleration

⇒ acceleration = force/mass = 50/7 m/s² = 7.14 m/s².

Hence, acceleration of the box be 7.14 m/s².

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As a result of the expansion, parallax method is the way to compare the average distances between galaxies in the distant past and average distance between them today

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The length of the aluminum flagpole will increase by 0.00881 m as the temperature increases by 15.

The length of an aluminum flagpole may not change with temperature. While thermal expansion can cause materials to change in size when heated or cooled, aluminium, as a metal, is not significantly affected by temperature changes. As such, the length of an aluminium flagpole is unlikely to be significantly affected by changes in temperature.

Calculate the Coefficient of Linear Expansion for Aluminum

The coefficient of Linear Expansion for aluminum is about 0.000023 per degree Celsius

Calculate the change in length

Change in length = (Coefficient of Linear Expansion x Original Length x Change in Temperature)

Change in length = (0.000023 x 39.4 m x 15) = 0.00881 m

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A diode is a two terminal device that passes and blocks the current.

A diode is a semiconductor gadget that essentially switches current in a single direction.

However, it substantially inhibits current flow in the opposite direction. It permits an easy flow of current in one direction.

Due to the fact that they convert alternating electricity into pulsing direct current, diodes are sometimes referred to as rectifiers. Type, voltage, and current capability are used to rate diodes.

The anode and cathode determine the polarity of diodes. The majority of diodes only permit current to flow when the anode is subjected to positive voltage.

A diode is forward-biased when it permits current flow. Reverse-biased diodes function as insulators.

The arrow of the diode symbol points away from the direction of electron flow. The symbol was created by engineers, whose current flowed in a positive direction.

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Answer: 200m in 5seconds.

Explanation: To find the distance traveled by the cyclist in 5 seconds, we need to use the equation for distance traveled with uniform acceleration:

d = d0 + v0t + 1/2a*t^2

where d is the distance traveled, d0 is the initial displacement (in this case, 0 since the cyclist starts from rest), v0 is the initial velocity (also 0 in this case), t is the time elapsed, and a is the acceleration.

We are given that the cyclist moves 8m in 4 seconds, so we can plug these values into the equation:

8m = 0 + 04s + 1/2a*4s^2

8m = 1/2a16s^2

a = 8m / (1/2 * 16s^2)

a = 16m/s^2

Now that we have the acceleration, we can use the equation to find the distance traveled in 5 seconds:

d = 0 + 05s + 1/216m/s^2*5s^2

d = 1/216m/s^225s^2

d = 200m

Therefore, the cyclist will move a distance of 200m in 5 seconds.

The example of a sport where shoes with a low coefficient of friction would be advantageous are hockey, football and cricket.

The athlete can move more quickly down the slope when there is no friction. Because there is little surface area in contact with the ice, friction is decreased. A force that is often up to eight times greater than gravity is applied to the ice as the competitors speed around a curved path.

In a sled-towing activity, an athlete's sprint time should presumably get longer as the coefficient of friction of the running surface rises because more of the athlete's muscular force is lost to sled friction.

Football Collision

When the football is rolling or sliding during a play, frictional forces are working against it. The reason behind this is that as these balls roll across the ground, surface friction creates an opposing force that significantly slows the ball down.

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In the given explanations, Newton’s law of universal gravitation can be explained by the statement, "Heavier objects fall faster than lighter objects". Thus, Option A is the correct answer.

Gravity is a natural phenomenon that causes all massive objects to attract each other. The magnitude or force of this interaction depends on the masses and distance of the bodies. This causes objects to fall toward Earth, for example, and keep satellites and celestial bodies in their orbits, such as the Earth's orbit around the Sun. Gravity also causes the tidal phenomenon.

In physics, gravity can be approximated by Isaac Newton's laws of gravity. Although the accuracy of the law is sufficient, for example, when calculating the orbits of spacecraft, gravity is best described by Albert Einstein’s general theory of gravity, in which it is considered the curvature of space-time.

Newton's law of universal gravitation states that a particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Hence, Option A is the correct answer.

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Answer:

The SI unit of Area is meter square (represent as m2)

The SI unit of pressure is one newton per square metre ( represent as N/m2).

The total work (in Joules) that must be done on the object to increase its speed to 10.7 m/s is 349J.

ΔK.E = W

ΔK.E = K.Ef - K.Ei

⇒ ΔK.E = 1/2m(Vf² - Vi²)

⇒ ΔK.E = 1/2×9.5(10.7² - 6.4²)

⇒ ΔK.E = 349J

Hence, the total work is 349J

Work = Force Distance is the formula for calculating work. The joule (J), sometimes known as the Newton meter (N m), is the SI unit for work. When an object is moved across a distance of 1 m by 1 N of force, the work done is equal to 1 joule.

Between KE and W relationship: An object's change in kinetic energy equals the work performed on it by a net force: W = KEi - KEf. The work-energy theorem is the name given to this relationship.

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