Light is incident on two slits separated by 0.20 mm. The observing screen is placed 3.0 m from the slits. If the position of the first order bright fringe is at 4.0 mm above the center line, find the wavelength of the light, in nm.
Find the position of the third order bright fringe, in degrees.
Shine red light of wavelength 700.0 nm through a single slit. The light creates a central diffraction peak 6.00 cm wide on a screen 2.40 m away. To what angle do the first order dark fringes correspond, in degrees?
What is the slit width, in m?
What would be the width of the central diffraction peak if violet light of wavelength 440.0 nm is used instead, in cm?

Answer:

4 ohms

Explanation:

Use Ohm's Law: V = IR

V = 3.0 V

I = 0.75 A

Plug thise values into the equation:

3.0 V = (0.75 A) R

---> R = 4 ohms

The resistance of the bulb when a current of 0.75 is passed when connected to 3.0 V battery is 4 ohms.

Resistance is the opposition to the flow of current through it.

Given is the current passing through the bulb is 0.75 Amperes and the voltage of the battery is 3.0 V, then according to the ohm's law,

V = IR

where R is the resistance of the bulb

3.0 V= 0.75 A× R

R = 4 Ω

The resistance of the bulb is 4 Ω.

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Answer:

m = 96.53 grams

Explanation:

Given that,

The density of metallic platinum, d = 21.5 g/cm³

Volume, V = 4.49 cm³

We need to find the mass. Let it is m. We know that the density is equal to the mass per unit volume. So,

\(d=\dfrac{m}{V}\\\\m=d\times V\\\\m=21.5\times 4.49\\\\m=96.53\ g\)

So, the required mass is 96.53 grams.

Answer:

option A

Explanation:

the diameter is twice the length of the radius

hope it helps

The distance the land near hole is -0.6

As we know that the golfer hits the ball with a speed of 40 m/s at an angle of 50 degrees

so here we will have the range of the ball on the ground given as

R = v² sin2∅/g

so we will have

\(R =\frac{40^{2}sin(2*50) }{9.81}\)

R = 160.6

So it will land at a distance of 160.6 m

so the distance from the hole is given as:

d = 160 -160.6

d = -0.6

To calculate the horizontal distance as the projectile travels Multiply the vertical height h by 2 and divide by the acceleration due to gravity g. Take the square root of the result from step 1 and multiply it by the initial projection velocity u to get the horizontal distance.

The maximum horizontal distance a baseball travels is the horizontal distance a baseball travels when returning to its initial height. An example of horizontal distance is the distance from an observer to a building, and an example of vertical distance is the height of a building. Players are given a reasonable amount of time to reach the hole and must wait an additional 10 seconds for the ball to fall into the hole. If the ball falls into the hole during this waiting time.

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a. The particles speed up and spread apart,  in a liquid as it turns into a gas.

Particles in liquids are dispersed randomly across the container and are relatively near to one another. Due to the closer proximity of the particles, collisions between them happen more frequently than in gases even if particles are moving quickly in all directions.

A liquid has a fixed shape and volume as opposed to a gas, which is how they differ from one another. While a liquid keeps a consistent volume, a gas adopts the shape of its container. Additionally, gas is more compressible than liquid. This implies that a gas can be compressed into a smaller area than a liquid.

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The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles. The law of conservation of energy is maintained in each process.

The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as

K.E = 1/2 mv²

Given is a diagram of energy conversion due to combustion.

The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles.

The law of conservation of energy states that the energy can neither be created nor destroyed. It can be only converted to one form to the other.

In the given process, the mass decreases but energy remains the same in all forms of energy.

Hence, the law of conservation of energy is maintained in each process

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Answer: Green Light

Explanation:

The color green has a higher frequency than the color red and the higher the frequency the more energy. If you looks at a rainbow you'll see red on one end and violet on the other. Red has the least energy Violet has the most.

The speed of the petunia rolls is obtained from the calculation as 12.8 Km/hr.

The term speed is the ratio of the distance to the time that is taken by a body. We know that speed is how we would know how fast or slow that a material is moving and the unit that we can use to measure the speed of an object is kilometers per hour.

Distance covered by the object = 16Km

Time taken by the object = 1.25hrs

Speed = Distance/ Time

Speed =  16Km/ 1.25hrs

= 12.8 Km/hr

The speed is 12.8 Km/hr.

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Answer:

Yes, it would be enough.

Explanation:

The volume of the tank (cylinder tank) is given by the following equation:

\(V_{initial}=\pi (\frac{D}{2})^{2}h\)

Where:

D is the diameter of the tank

h is the height of the tank

Now, the engineer makes a tank 1.26 times as big in heigh and 1.41 times as large with respect to diameter, then the new volume of this tank will be:

\(V_{new}=\pi (\frac{1.41D}{2})^{2}1.26h\)    

\(V_{new}=1.41^2*1.26\pi (\frac{D}{2})^{2}h\)

\(V_{new}=2.51\pi (\frac{D}{2})^{2}h\)

in terms of the initial volume:

\(V_{new}=2.51V_{initial}\)

Which means that the volume of the water could be doubled.

I hope it helps you!

Answer:

See below

Explanation:

Total current will be   18 v/ 8 ohms +   18v / 24 ohms = 3 amps

Equivalent resistance   =   1 / (1/8 + 1/24) = 6 Ω

Answer:

The sense of weightlessness in orbiting satellite is because of the lack of any contact-forces. The only force that acts upon humans in space is the force of gravity, which acts at a distance; but as there is no counter-force, we do not experience the sensation of weight over there.

The given question is incomplete as the essential graphical result is missing, however the correct graph is attached with the answer :

Answer:

The correct answer is - According to the graph,  the current in the LDR is directly proportional to the potential difference across the LDR.

Explanation:

Two variables that are in directly proportion will consistently deliver a straight-line graph that goes through the beginning. On the off chance that the steady of proportionality is sure, the chart will have a positive slope. On the off chance that the steady is negative, the graph will have a negative angle.

In the given data and graph of the result collected by the student shows a straight line in between the current in the LDR and the potential difference across the LDR. It means they are in relation of directly proportional.

Thus, the correct answer is - According to the graph,  the current in the LDR is directly proportional to the potential difference across the LDR.

Newton’s first law of motion is illustrated when a magician pulls a tablecloth out from under the dishes without disturbing them. Newton’s laws of motion explain the behavior of objects when forces act upon them. They describe the relationship between the motion of an object and the forces acting upon it.

Newton’s first law of motion states that an object at rest will stay at rest and an object in motion will stay in motion with a constant speed and in a straight line unless acted upon by an unbalanced force. In this case, the unbalanced force is the magician pulling the tablecloth while the dishes remain at rest.

Because of Newton’s first law of motion, the dishes will stay in place due to their inertia. Inertia is the tendency of an object to resist a change in its motion. Therefore, the dishes stay at rest, and the tablecloth is removed from under them. The force applied to the tablecloth by the magician is less than the force needed to move the dishes from their position.

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Answer:

the velocity is 200

Explanation:

Answer:

They are the polar opposite of each other.

Nuclear fusion is when two or more atomic nuclei combine together to form a different atomic nuclei. Nuclear fission is when the atom splits into two smaller nuclei.

Answer:

Because the Earth is EXTREMELY massive

Explanation:

Answer:That only applies to highly polished surfaces, eg mirrors.

If you take a high quality laser (ie with low divergence) and aim it at a wall, you can see the spot where the laser beam reaches the wall from anywhere with a direct line-of-sight to the spot where the laser beam reaches the wall. This due to micro imperfections on the surface of the wall. At a microscopic level, the wall surface is very rough and pointing in all directions.

As to why, a beam of light bounces of a highly polished surface, I can only surmise that it is essentially due to kinematics, ie the only force opposing the light beam is normal to the surface, hence there no forces along the reflective surface. Since there are no forces along the reflective surface, the speed component of light along the reflective surface remains unchanged. However, on the plane perpendicular to the reflective surface the, the light photons bounce off at the same speed at which the hit the reflective surface because the mass of the reflective surface is much much much larger than the mass of the photons, which means that the reflective surface won’t move at all. Since conservation of momentum requires that momentum after the collision be the same as the momentum before the collision then the only way for that to happen is if the velocity of the photon perpendicular to the reflective surface is of exactly the same magnitude but in the opposite direction. Vector resolution of the speed component of the reflected beam means that the angle of reflection must be the same as the angle of incidence.

Explanation:

a) β of total energy of a muon is 0.948.

b) K of total energy of a muon is 226MeV.

c) p of total energy of a muon is 1.7 × \(10^{-19}\) kg⋅m/s.

(a) The appropriate lifespan of total energy Δt0 is 2.20s, while the laboratory lifetime determined by clocks is Δt=6.90s.

\(\beta\) = √(1 - (Δt0 ÷ Δt)²) = √(1 - (2.20 ÷ 6.90)²) = 0.948

(b) From the answer to part (a), γ=3.136.

Thus, mc² = 207mc² = 105.8MeV

K = mc²(\(\gamma\)-1) = (105.8MeV) × (3.136−1) = 226MeV

(c) mc² = 105.8MeV/c

p=\(\gamma\)mV = \(\gamma\)mc\(\beta\) = (3.136) × (105.8MeV/c) × (0.9478) = 314MeV/c

SI units p=1.7 × \(10^{-19}\) kg⋅m/s

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The question is -

The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.20μ s. In a certain experiment, muons moving through a laboratory are measured to have an average lifetime of 6.90μ s. For the moving muons, what are (a) β(b) K, and (c)p( in MeV/c)?

The present value of the following single amounts are as follows;

PV for FV = $20,000, I =7%, N =10 years is $10,155.84

PV for FV = $14,000, I =8%, N =12 years is $4,489.92

PV for FV = $25,000, I =12%, N =20 years is $2,590.11

PV for FV = $40,000, I =10%, N =8 years is $18,520.89.

Future value (FV) =$20,000,

Interest rate (I) =7%,Time (n) = 10 years

The present value (PV) can be calculated as follows;

PV = FV / (1 + i)n = 20000 / (1 + 0.07)10PV = 20000 / 1.96715PV = $10,155.84

Future value (FV) =$14,000,

Interest rate (I) =8%,

Time (n) = 12 years

The present value (PV) can be calculated as follows;

PV = FV / (1 + i)n = 14000 / (1 + 0.08)12PV = 14000 / 3.12159PV = $4,489.92

Future value (FV) =$25,000,

Interest rate (I) =12%,Time (n) = 20 years

The present value (PV) can be calculated as follows;

PV = FV / (1 + i)n = 25000 / (1 + 0.12)20PV = 25000 / 9.64632PV = $2,590.11

Future value (FV) =$40,000,Interest rate (I) =10%,Time (n) = 8 years

The present value (PV) can be calculated as follows;

PV = FV / (1 + i)n = 40000 / (1 + 0.1)8PV = 40000 / 2.15893PV = $18,520.89

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Thermal energy is transferred between objects only when they have different temperatures.

The movement of atoms and molecules within a substance is a form of energy known as thermal energy.

When two objects are in contact, or even in proximity, the atoms and molecules in the hotter object collide with those in the colder object.

Because of these effects, a portion of the kinetic energy from the more sizzling object is moved to the colder object, raising the temperature of the previous and bringing down the temperature of the last option.

A material's thermal conductivity — an estimation of how well it moves heat — decides how rapidly heat is moved between various sorts of materials.

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Answer:

The change in the linear momentum is 225 kg.m/s and the force exerted on the tennis ball is 22,500 N.

Explanation:

Linear momentum is the measure of a body's motion. Every object that has mass and moves at any velocity has linear momentum. Here are some examples of everyday life: falling balls, launching rockets, driving a car etc.

Now let's attack the problem.

First, we got to write the data down:

\(\bullet \quad m=3\,kg\\\\\bullet \quad v_o=40\,m/s\\\\\bullet \quad v=35\,m/s\\\\\bullet \quad \Delta t =0.01\,s\)

We can write the change in linear momentum of the tennis ball as follows:

\(\Delta p = p-p_o\)

The ball's momentum is equal to its mass times its velocity. Hence:

\(\Delta p= m\cdot v-m\cdot v_o\)

Let's set the reference system as positive to left (see picture attached). For that purpose, when the ball bounces back its velocity changes sign.

Now, we are able to plug in the data:

\(\Delta p = 3\cdot 35 - 3\cdot(-40)\\\\\\\Delta p = 105+120\\\\\\\therefore \boxed{\Delta p =225\,kg\cdot m/s}\)

To calculate the exerted force, we must apply the impulse theorem, which states that impulse equals the change in linear momentum of an object. We get:

\(\mathbb{I}=\Delta p\)

Hence,

\(F \cdot \Delta t=\Delta p\\\\\\F\cdot 0.01=225\\\\\\F=\dfrac{225}{0.01}\\\\\\\therefore \boxed{F=22,\!500\,N}\)

Conclusion: the change in linear momentum is 225 kg . m/s and the exerted force is 22,500 N.

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(a) mass ratio M/m that can let this occur = 3

(b)  the COM velocity v' and angular velocity ω of the rod after the collision are:

v' = 3v

ω = 6v/L

Conservation of linear momentum :

When two bodies collide or interact the initial momentum is equal to the final momentum according to the law of conservation of momentum.

Given: mass of the particle = m

speed of the particle = v

mass of the rod = M

length of rod = L

to conserve the momentum

initial momentum = final momentum

mv + 0 = m×0 + Mv',   (1)

where v' is the velocity of COM rod after collision

Applying conservation of angular momentum:

mvL/2 = ML² ω/ 12

mvL/2 = ML² (2v'/ L) /12           (2)

solving (1) and (2)

m/M = 3

and ω = 6 v/L

therefore, (a) mass ratio M/m that can let this occur = 3

(b)  the COM velocity v' and angular velocity ω of the rod after the collision is:

v' = 3v

ω = 6v/L

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ANSWER:

STEP-BY-STEP EXPLANATION:

(a) Leak before break is a concept of designing the system or structure to minimize the risk of sudden catastrophic failure due to cracks.

The concept is to create a design that allows the development of cracks, and before the crack gets to a critical size, the system or structure should be able to detect the crack or leak. There are three stages in a leak-before-break condition:

First stage - Crack initiation: In this stage, cracks start to develop, but there is no effect on the system or structure's performance.

Second stage - Slow Crack Growth: In this stage, the crack's growth is slow, and the crack's effects on the system or structure are minimal.

Third stage - Rapid Crack Propagation: In this stage, the crack grows rapidly, and it could cause a catastrophic failure of the system or structure.  

(b) Longitudinal stress, σl = (pi x di^2)/4tσl = (28.75 x 10^6 x (0.08^2))/4 x 0.01σl = 58000000 Pa Hoop stress, σH = (pi x di x p)/2tσH = (28.75 x 10^6 x 0.08)/2 x 0.01σH = 11500000 Pa

(c) Critical crack size can be calculated as; ac = ((KIc^2 x Y)/(σpi))^(1/2)ac = ((23^2 x 0.7)/(28.75 x 10^6 x pi))^(1/2)ac = 1.6 x 10^-3 m

The crack is stable since the size of the crack is less than the critical crack size.

(d) Yes, the condition corresponds to a 'leak before break since the hemispherical crack's growth is slow, and the cylinder could detect it and initiate repairs before the cylinder fails catastrophically.

(e) No, the design will not be 'leak before break since the cheaper aluminum alloy's critical crack size is smaller than the crack's size. Therefore the cylinder will fail catastrophically.

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The gravitational force of Earth on the satellite, given that the satellite is launched into orbit 30000 km above sea level is 1.63×10³ N

The gravitaional force between two objects can be obtained by using the following formula:

F = GM₁M₂ / r²

Where

The following data were obtained from he question:

The gravitaional force can be obtained as shown below:

F = GM₁M₂ / r²

F = (6.673×10¯¹¹ × 5.4×10³ × 6.0×10²⁴) / (36400000)²

F = 1.63×10³ N

Thus, the gravitational force is 1.63×10³ N

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Answer:

the autumnal equinox (when day and night are of equal length)

Explanation:

The first event occurs around the 22nd or 23rd in the month of September. What usually happens is that regions around the Northern Hemisphere (which includes all of North America and Europe) experience an equal length of day and night.

While the second event occurs around March 20th or 21st mainly observable in countries found in the Southern Hemisphere.

The star 51 Pegasi, similar in mass and luminosity to the Sun, is orbited by a planet with an orbital period of 4.23 days and a mass of 0.6 times that of Jupiter.

51 Pegasi, a star with mass and luminosity comparable to our Sun, hosts a planet with an estimated mass of 0.6 Jupiter masses. This planet orbits the star with a relatively short orbital period of just 4.23 days, indicating that it is located close to the star.

The close proximity of the planet to its star suggests that it experiences strong gravitational forces, resulting in its rapid orbital period. This planetary system serves as an interesting example of how exoplanets can vary in size, mass, and orbital characteristics compared to the planets within our own Solar System.

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Cyclotron to make 1 milligram of the isotope fluorine-18 for use a a diagnostic tool with it PET scanner. It seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

The half-life of F-18 is 1.8 hours, so after 1.8 hours, half of the original amount of F-18 will remain. After 3.6 hours, a quarter of the original amount will remain, and so on.

At 3:00 PM (9 hours after the F-18 was made), the hospital will have

= 1/2^(9/1.8)

= 1/2^5

= 1/32

= approximately 0.03125 milligrams of F-18 remaining.

At midnight (18 hours after the F-18 was made), the hospital will have

= 1/2^(18/1.8)

= 1/2^10

= 1/1024

= approximately 0.0009765625 milligrams of F-18 remaining.

While using cyclotron, based on these calculations, it seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

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The Sun light is reflected back by earth. On process of reflecting back the sunlight, the lower layer of troposphere absorbs the most sunlight and upper layer absorbs the least sunlight. So when We ascend to troposphere, we move towards the upper layer of troposphere where sunlight is least absorbed and is colder than lower layer where sunlight is most absorbed

  In the troposphere, the temperature generally decreases with altitude. The reason is that the troposphere's gases absorb very little of the incoming solar radiation. Instead, the ground absorbs this radiation and then heats the tropospheric air by conduction and convection.