7. Light of a frequency 6.8x10 ¹4Hz falls on a pair of slits that are 2.00x104 cm apart. The central bright spot is 50 cm from the screen. How far is the 1st order bright spot from the central bright spot?​

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Answer:

a)\(\frac{F_1}{L}=1.95*10^-^5N\)

b)\(\frac{F_2}{L}=1.95*10^-^5N\)

Explanation:

From the question we are told that:

Distance between wires \(d=32.2\)

Wire 1 current \(I_1=2.75\)

Wire 2 current \(I_2=4.33\)

a)

Generally the equation for Force on \(l_1\) due to \(I_2\) is mathematically given by

\(F_1=I_1B_2L\)

Where

B_2=Magnetic field current by \(I_2\)

\(B_2=\frac{\mu *i_2}{2\pi d}\)

Therefore

\(F_1=I_1B_2L\)

\(F_1=I_1(\frac{\mu *i_2*l_1}{2\pi d})L\)

\(\frac{F_1}{L} =\frac{4*\pi*10^{-7}*2.75*4.33*100 }{2*\pi*12.2 }\)

\(\frac{F_1}{L}=1.95*10^-^5N\)

b)

Generally the equation for Force on \(I_2\) due to \(I_1\) is mathematically given by

\(F_2=I_2B_1L\)

Where

B_1=Magnetic field current by \(I_2\)

\(B_1=\frac{\mu *I_1}{2\pi d}\)

Therefore

\(\frac{F_2}{L} =I_2(\frac{\mu *I_1*I_2}{2\pi d})\)

\(\frac{F_2}{L}=1.95*10^-^5N\)

Answer:

–50.96

Explanation:

The following data were obtained from the question:

Initial velocity (Vᵢ) = 0 m/s

Acceleration (a) = – 9.8 m/s²

Time (t) = 5.2 s

Final velocity (Vբ) =.?

Acceleration is simply defined as the change of velocity with time. Mathematically, it is expressed as:

Acceleration (a) = Final velocity (Vբ) – Initial velocity (Vᵢ) /Time (t) =

a = (Vբ – Vᵢ) / t

With the above formula, we can determine how fast the object is traveling after 5 s as follow:

Initial velocity (Vᵢ) = 0 m/s

Acceleration (a) = – 9.8 m/s²

Time (t) = 5.2 s

Final velocity (Vբ) =.?

a = (Vբ – Vᵢ) / t

– 9.8 = (Vբ – 0) / 5.2

– 9.8 = Vբ / 5.2

Cross multiply

Vբ = –9.8 × 5.2

Vբ = –50.96 m/s

Therefore, the object is traveling at

–50.96 m/s

The velocity of the ball is 19.6 m/s and when the ball lands, it is moving at a speed of 77.134 m/s.

All objects with mass are subject to gravity, which is a fundamental force of nature. It is the force that pulls everything toward the core of a planet or other entity.

(a) The equation can be used to determine the velocity of a dropped ball.

v = v0 + a * t

where a is the acceleration caused by gravity (9.8 m/s2), v0 is the beginning velocity (0 in this case because the ball is dropped from rest), and t is the amount of time that has passed.

Therefore, if t = 2 seconds, the ball's velocity at that time would be:

v = 0 + 9.8 * 2 = 19.6 m/s

(b) The ball's final velocity is identical to its velocity when it lands. The following equation can be used to determine how long it takes the ball to touch the ground:

t = √(2h / a)

where a is the acceleration brought on by gravity (9.8 m/s2) and h is the height (in this case, 300 m) from which the ball is dropped.

Thus, the duration of time required for the ball to touch the ground is:

t = √(2 * 300 / 9.8) = √(600 / 9.8) = √(61.22) = 7.83 s

The formula: can be used to determine the ball's velocity when it lands.

v=v0 + a*t = 0 + 9.8 * 7.83 = 77.134 m/s

So, when the ball lands, it is moving at a speed of 77.134 m/s.

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An autobiography, like a memoir, is the writer's recounting of his or her life and is written in the first person, making the writer the protagonist of the narrative.

Contemporary/Realistic: In order to accurately portray our environment and society, realistic fiction develops fictional people and circumstances. Growing up and dealing with social and personal issues are the main themes. Characters in this genre are depicted as they learn about both themselves and others.

Historical and contemporary fiction make up realistic fiction's two subgenres. Unlike current fiction, which takes place in the present or recently past, historical fiction takes place at a period that is far enough back in history to be deemed history.

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Answer: the answer is b

Explanation:

edge

To find the mass of the object, we can use the formula for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Given that the kinetic energy is 426 J and the velocity is 13 m/s, we can rearrange the equation to solve for the mass:

mass = (2 * KE) / (velocity^2)

Substituting the given values:

mass = (2 * 426 J) / (13 m/s)^2

mass = (2 * 426 J) / (169 m^2/s^2)

mass = 852 J / 169 m^2/s^2

mass = 5.04 kg

Therefore, the mass of the object is 5.04 kg.

Answer:

because it is a certain time created by God.

It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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Answer:

greater than 90 degrees

Explanation:

Answer:

Explanation:

Y=Kx

Answer:

boiling point and freezing point

when Force (N) is 10.0 Length (m) is 0.60

when Force (N) is 8.0 Length (m) is 0.40

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 4.0 Length (m) is 0.20

when Force (N) is 2.0 Length (m) is 0.10

chatgpt

49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:

Period (T) = 2π√(Length (L) / g)

Substituting the given values:

2.3 = 2π√(L / 1.6)

To solve for L, we can rearrange the formula:

L = (2.3 / (2π))^2 * 1.6

L ≈ 0.781 meters (or 78.1 centimeters)

So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.

50. Ranking Task:

To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.

Ranking from least to greatest period:

1. A: 10 cm long, mass = 0.25 kg

2. C: 20 cm long, mass = 0.25 kg

3. B: 10 cm long, mass = 0.35 kg

There is a tie between pendulums A and C, as they have the same length but different masses.

Betelgeuse has a surface area of roughly 8.98 × 10²¹ square meters.

The radiated power of a star is given by the Stefan-Boltzmann law:

P = σAT⁴

where P = power radiated,

A = surface area of the star,

T = surface temperature, and

σ = Stefan-Boltzmann constant.

To find the surface area of Betelgeuse, if the light intensity at a distance d from the star is I, the intensity at a distance 2d will be I/4.

Given that the intensity of light from Betelgeuse at a distance of 643 light-years is 9.88 × 10⁻⁸ W/m²:

I/4 = σAT⁴/(4πd²)

where d = distance to the star in meters.

Solving for A:

A = 4πd²I/(σT⁴)

Convert the distance to meters by multiplying by the number of meters in a light-year:

d = 643 light-years × (9.461 × 10¹⁵ meters/light-year) = 6.07 × 10¹⁸ meters

Substituting the given values into the equation:

A = 4π(6.07 × 10¹⁸ meters)²(9.88 × 10⁻⁸ W/m²)/(5.67 × 10⁻⁸ W/m²/K⁴)(3500 K)⁴

A ≈ 8.98 × 10²¹ m²

Therefore, the surface area of Betelgeuse is approximately 8.98 × 10²¹ square meters.

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Answer:

the wavelength will decrease

Explanation:

If the frequency of a wave increases, the wavelength will decrease. This is because the speed of the wave is constant for a given medium, so if the frequency (the number of waves passing a fixed point per second) increases, then the distance between successive wave crests (i.e., the wavelength) must decrease to maintain a constant speed. This relationship is described by the wave equation:

v = f λ

where v is the speed of the wave, f is the frequency, and λ is the wavelength. If v is constant and f increases, then λ must decrease to keep the equation balanced.

The electric field is given by E = F/q or E = kq/r^2

The formula for electric field (E) is:

E = F/q

where:

E is the electric field strength, measured in newtons per coulomb (N/C)

F is the electric force acting on the charge, measured in newtons (N)

q is the magnitude of the charge, measured in coulombs (C)

Alternatively, the electric field can also be expressed in terms of the distance (r) between the charges, using the formula:

E = kq/r^2

where:

k is Coulomb's constant, which has a value of 9 x 10^9 Nm^2/C^2

q is the magnitude

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Answer:

Explanation:

MEMORANDUM

To: Bennie

From: Finance Consultant

Subject: Recommendation to Move the Company to Mexico

I am writing to recommend that we move our company to Mexico. The move will reduce our expenses, make us more competitive, and provide several other benefits. In this memo, I will discuss the three biggest expenses and how the move will help reduce them.

Firstly, labor is one of the biggest expenses for our company. The minimum wage in Mexico is only $7.00 per day, which is significantly lower than the $60.00 per day in the US. Furthermore, Mexican workers may work 48 hours in a week before overtime must be paid, whereas US workers must be paid overtime for more than 40 hours in a week. This means that we can save a lot of money on labor costs by relocating to Mexico.

Secondly, transportation is another major expense for our company. Mexico is closer to many of our suppliers, which means that we can reduce transportation costs by sourcing our materials locally. This will also help us to reduce our carbon footprint by decreasing the amount of fuel we use for transportation.

Thirdly, the cost of doing business in Mexico is generally lower than in the US. Mexico has lower taxes and fewer regulations, which means that we can save money on compliance and other administrative costs. Additionally, the North American Fair Trade Agreement (NAFTA) allows companies from the member countries to import and export agricultural products without tariffs, which will help us to reduce our costs further.

The re-location will make us more competitive by allowing us to offer lower prices to our customers. Lower labor and transportation costs will enable us to produce our products at a lower cost, which means that we can sell them at a lower price. This will help us to increase our market share and attract more customers.

I anticipate that Bennie may have concerns about operating a business abroad. However, the benefits of the move far outweigh the potential problems. By off-shoring to Mexico, we can take advantage of the incentives provided by the Mexican government and create a better supply chain for our manufacturing processes. We can also maintain the quality of our products and ensure that they meet the demand and quantity required by our consumers.

In conclusion, I strongly recommend that we move our company to Mexico. The move will reduce our expenses, make us more competitive, and provide several other benefits. Thank you for your consideration, and please do not hesitate to contact me if you have any questions.

Sincerely,

[Your Name]

Answer:

Similar to a lock and key, the biomedical model seeks to find a solution that fits the respective problem. Biopsychosocial. The biopsychosocial model is aptly named because of its three essential components: biological, psychological and social ideologies. As a result, the concept of health is viewed as a balance between these three sectors.

Explanation:

hope it helps

have a great day

:)

Answer:

A = 21 î + 28 ĵ

B = 12 î + 5 ĵ

Explanation:

a.

To write A and B in terms of î and ĵ, we need to use the trigonometric ratios and the vector notation

According to the diagram, we have:

tan a = 4/3 tan ß = 5/12

Using the identity tan θ = opposite/adjacent, we can find the x and y components of A and B.

For A, we have:

x component = 35 cos a y component = 35 sin a

Using tan a = 4/3, we can find cos a and sin a by using Pythagoras’ theorem:

cos a = 3/5 sin a = 4/5

Therefore, the x and y components of A are:

x component = 35 cos a = 35 (3/5) = 21 y component = 35 sin a = 35 (4/5) = 28

Using the vector notation, we can write A as:

A = 21 î + 28 ĵ

Similarly, for B, we have:

x component = 13 cos ß y component = 13 sin ß

Using tan ß = 5/12, we can find cos ß and sin ß by using Pythagoras’ theorem:

cos ß = 12/13 sin ß = 5/13

Therefore, the x and y components of B are:

x component = 13 cos ß = 13 (12/13) = 12 y component = 13 sin ß = 13 (5/13) = 5

Using the vector notation, we can write B as:

B = 12 î + 5 ĵ

b.

To show that A + B makes an angle of 45° to the x-axis, we need to find the resultant vector R and its angle θ with the x-axis.

To find R, we can use the vector addition rule :

R = A + B R = (21 î + 28 ĵ) + (12 î + 5 ĵ) R = (21 + 12) î + (28 + 5) ĵ R = 33 î + 33 ĵ

To find θ, we can use the inverse tangent function :

tan θ = y component / x component tan θ = 33 / 33 tan θ = 1

θ = tan^-1(1) θ = 45°

Therefore, A + B makes an angle of 45° to the x-axis.

Hi there!

False.

Electric potential difference is the change in ELECTRIC POTENTIAL ENERGY per unit charge.

\(\large\boxed{\Delta V = \frac{\Delta U}{q}}\)

The  equation describes the sum of the vectors plotted below is: \(\vec{r} = 4 \vec{x}+2 \vec{y}\)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

According to the final position of the vector as shown in the figure, The final x co-ordinate is 4 and  the final y co-ordinate is 2.

the  equation describes the sum of the vectors plotted below is: \(\vec{r} = 4 \vec{x}+2 \vec{y}\)

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Answer:

Based on the information provided, the lightbulb lights when the loop rotates because the movement of the wire in an electric or magnetic field causes electrons in the wire to move and become either mechanical energy or an electric current. This energy causes the light to glow. The energy change involved is the conversion of electrical or mechanical energy used to rotate the loop into either light or electrical energy

Explanation:

Answer:

Explanation:

The nice thing about parabolic motion is that the object launched from a certain height will have the same velocity coming down when it reaches that height again, just in the opposite direction. For us, that means if the velocity of the ball right off the ground is 30 m/s, then right before it hits the ground again it will be -30 m/s (the negative just means that the direction is the opposite). Your choice is D.

Answer:

B.

Explanation:

I'm not sure if it's the right answer but I think it is. I hope I helped out in some way.

The titles should replace A and B are Column A should be “Time,” and Column B should be “Position.”

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The set of all vectors which are scalar multiples of a nonzero vector u is a line through u and 0. a column vector in r₂ is a 1 x 2 matrix. The magnitude of a vector cv is c times the magnitude of v, where c is any scalar. The correct option is Option C.

Vector multiplication may refer to one of several products between two (or more) vectors. Multiplication of vectors is of two types. A vector has both magnitude and direction and based on this the two ways of multiplication of vectors are the dot product of two vectors and the cross product of two vectors. Dot product or "scalar product", is a binary product that takes place with two vectors and returns a scalar quantity. The dot product of two vectors can be defined as the product of the magnitudes of the two vectors and the cosine of the angle between the two vectors. Thus, A ⋅ B = |A| |B| cos θ

Cross product, or the "vector product", is a binary product on two vectors that results in another vector. So, if n is the unit vector perpendicular to the plane determined by vectors A and B,

A × B = |A| |B| sin θ n

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Answer: Landslides are a type of "mass wasting," which denotes any down-slope movement of soil and rock under the direct influence of gravity. ... Debris flows (commonly referred to as mudflows or mudslides) and rock falls are examples of common landslide types. Almost every landslide has multiple causes.

Answer:

42 Hz

Explanation:

Given,

Speed ( v ) = 210 m/s

Wavelength ( λ ) = 5 m

To find : Frequency ( f ) = ?

Formula : -

v = f λ

f = v / λ

= 210 / 5

f = 42 Hz

Answer:

Simple harmonic motion is a special type of periodic motion or oscillation motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacemen