an object is placed at 30 cm in front of a diverging lens with a focal length of 10 cm. what is the image distance?

The second-order diffraction angle for the emission line at 656.5 nm is 52°.

The diffraction grating equation relates the wavelength of light to the angle at which the light is diffracted by the grating. The equation is given by:

nλ = d sin(θ)

where,

d = spacing between the lines on the grating,

θ = diffraction angle,

n = order of diffraction, and

λ = wavelength of the light.

In this problem, the diffraction grating has a spacing of,

d = 1/600 mm

  = 1.67 × 10⁻⁶ m.

Converting the wavelength to meters, we get:

λ = 656.5 nm

 = 656.5 × 10⁻⁹ m

Now,

Substituting the values into the diffraction grating equation for the second-order diffraction i.e., n = 2, we get:

2 × (656.5 × 10⁻⁹ m) = 1.67 × 10⁻⁶ m {sin(θ)}

Simplifying and solving for the diffraction angle, we get:

sin(θ) = (2 * 656.5 × 10⁻⁹ m) / (1.67 × 10⁻⁶ mm)

∴ θ = sin⁻¹ [(2 * 656.5 × 10⁻⁹ m) / (1.67 × 10⁻⁶ mm)]

θ ≈ 52°

Therefore, the second-order diffraction angle for the emission line at 656.5 nm is 52°.

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Answer:

Yes

Explanation:

sorry if im wrong

Answer:

\(\boxed {\boxed {\sf D. \ 6.02*10^{23} \ atoms}}\)

Explanation:

One mole of a substance contains the same amount of representative particles. These particles can be atoms, molecules, ions, or formula units. In this case, the particles are atoms of titanium.

Regardless of the particles, there will always be 6.02*10²³ (also known as Avogadro's Number) particles in one mole of a substance.

Therefore, the best answer for 1 mole of titanium is D. 6.02*10²³ atoms.

Answer:

D) 6.02 x 1023

Explanation:

A.P.E.X

The momentum of the 0.230-kg baseball thrown with a speed of 41 m/s is 9.53 kg m/s. This means that if the ball were to collide with an object with equal and opposite momentum, the combined momentum of the two objects would be zero.

Momentum is a measure of an object's motion and is calculated by multiplying its mass and velocity. In physics, it is an important concept as it is conserved in many cases and helps to predict how objects will interact with each other.

The momentum of an object can be calculated using the formula: p = mv, where p is momentum, m is the mass of the object, and v is its velocity. In this case, the mass of the baseball is 0.230 kg, and its velocity is 41 m/s. Therefore, the momentum of the baseball can be calculated as follows:

p = mv = 0.230 kg * 41 m/s = 9.53 kg m/s.

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Answer:

the sun is currently a mian sequence star

and will remain so for another 4-5 billion

The ratio v/c of the speed v to the speed of light c in a vacuum, given that the radar antenna makes one revolution every 29 seconds on Earth and one revolution every 46 seconds on a spaceship is 0.6.

To solve this problem, we need to use the concept of time dilation from special relativity. Time dilation predicts that time appears to run slower for a moving observer relative to a stationary observer.

In this case, the radar antenna appears to make one revolution every 46 s for the moving spaceship, but one revolution every 29 s for the stationary observer on Earth.

We can calculate the ratio of the spaceship's speed v to the speed of light c by using the formula for time dilation:

t' = t / √(1 - v²/c²)

where t is the time measured by the stationary observer on Earth, t' is the time measured by the moving observer on the spaceship, and v is the speed of the spaceship.

Setting t = 29 s and t' = 46 s, we get:

46 = 29 / sqrt(1 - v²/c²)

Solving for v/c, we get:

v/c = √(1 - (29/46)²) = 0.6

Therefore, the ratio of the spaceship's speed v to the speed of light c is 0.6.

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The average power carried by the wave is 0.262. When amplitude is halved, the average power decreases by 4 to 0.065W.

a) The averaged power of a wave on a string is given by Pavg = 1/2 (√(µF)) A^2 w^2

According to the given data,

Mass of piano wire m = 3g = 0.00345kg

Length of piano wire l = 80cm = 0.8m

Tension F = 30 N

Frequency f = 120 Hz

Amplitude A = 1.6mm = 0.0016m

Angular frequency ω = 2πf = 2π (120) = 240π s^-1

Linear mass density μ = m/l = 0.00345/0.8 = 0.00431 kg/m

Hence,

Pavg = 1/2 (√(0.00431*30)) 〖0.0016〗^2 〖(240π)〗^2

Pavg = 0.262W

b) As the average power is always proportional to the square of amplitude, hence

Pavg1/Pavg2 = (A1/A2)^2

0.262/Pavg2 = (0.0016/0.0008)^2

0.262/Pavg2 = 4

Pavg2 = 0.065W

Note: The question is incomplete. The complete question probably is: A piano wire with mass 3.45g and length 80.0 cm is stretched with a tension of 30.0 N. A wave with frequency 120.0 Hz and amplitude 1.6 mm travels along the wire. (a) Calculate the average power carried by the wave. (b) What happens to the average power if the wave amplitude is halved.

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Answer: Different types of fuels have varying compositions and release different amounts of pollutants when burned. Here are some common types of fuels and the pollutants associated with them:

Fossil Fuels:

a. Coal: When burned, coal releases pollutants such as carbon dioxide (CO2), sulfur dioxide (SO2), nitrogen oxides (NOx), and particulate matter (PM).

b. Petroleum (Oil): Burning petroleum-based fuels like gasoline and diesel produces CO2, SO2, NOx, volatile organic compounds (VOCs), and PM.

Natural Gas:

Natural gas, which primarily consists of methane (CH4), is considered a cleaner-burning fuel compared to coal and oil. It releases lower amounts of CO2, SO2, NOx, VOCs, and PM.

Biofuels:

Biofuels are derived from renewable sources such as plants and agricultural waste. Their environmental impact depends on the specific type of biofuel. For example:

a. Ethanol: Produced from crops like corn or sugarcane, burning ethanol emits CO2 but generally releases fewer pollutants than fossil fuels.

b. Biodiesel: Made from vegetable oils or animal fats, biodiesel produces lower levels of CO2, SO2, and PM compared to petroleum-based diesel.

Renewable Energy Sources:

Renewable energy sources like solar, wind, and hydropower do not produce pollutants during electricity generation. However, the manufacturing, installation, and maintenance of renewable energy infrastructure can have environmental impacts.

It's important to note that the environmental impact of a fuel also depends on factors such as combustion technology, fuel efficiency, and emission control measures. Additionally, advancements in clean technologies and the use of emission controls can help mitigate the environmental impact of burning fuels.

Answer:

550 m/s

Explanation:

Speed of wave = wl * f      wl = 1,25 m    f = 440 Hz  (given)

                          1.25 m * 440 = 550 m/s

The force on a charge in an electric field is  E = 1*10^-9  N/C.

         F = QE

and according to newton's  second law, the acceleration the charge will undergo is :

      a = F / m

Putting these two equations together we get

     E = m/q

For an electron with mass m= 9.11*10^-31 kg and charge  Q= 1.60*10^-19 C.

E = 9.11*10^-31 kg / 1.60*10^-19 C

E = 1*10^-9  N/C.

Electric discipline, electric-powered assets associated with each point in space when the price is present in any form. The magnitude and direction of the electrical subject are expressed with the aid of the value of E, called electric area power or electric powered discipline intensity or certainly the electrical area.

An electric-powered discipline is a place of the area around an electrically charged particle or objects wherein an electric charge might feel pressure. An electric-powered field is a vector amount and can be visualized as arrows going towards or far from expenses.

Examples of electric fields consist of the field produced in the dielectric of a parallel-plate capacitor (which creates an electrostatic discipline) and the electromagnetic wave produced by a radio broadcast monopole antenna (which creates a time-various area)

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Answer:The first spacecraft which did not merely fly by a jovian (or giant) planet, but actually went into orbit around it for an extended period of time was option a, Galileo. The Galileo spacecraft was launched in 1989 and orbited Jupiter for almost eight years, from 1995 to 2003.

Explanation:

Answer:

100 newton

Explanation:

newton third law of motion says to every action there is an always an equal and opposite reaction so the magnitude will stay equal but opposite direction

Answer:

- 100N is the answer of this question

Answer:

a = 10m/s^2

Explanation:

Recall that F=ma, therefore, to find acceleration, we need to rearange the equation in such a manner that it would equal acceleration:

\(F=ma\\\frac{F}{m} =a\\\\\frac{120N}{12kg}=a\\10m/s^2=a\)

1) The box slides 23.6 m before stopping.

2) The coefficient of friction is 0.600.

3)  If the friction coefficient had a constant value of 0.100, then the box would have slid a distance of 12.5 m

1)Using the work-energy theorem, we can find how far the box slides before it stops. The theorem states that the work done by all forces acting on the object is equal to the change in its kinetic energy, or:
W = ΔKE

Where W is the work done by all forces, and ΔKE is the change in kinetic energy. Since the work done by all forces is equal to the friction force, the work done by friction is equal to the change in kinetic energy. Therefore, the equation can be rewritten as:
Wfriction = ΔKE

In this situation, the friction force increases linearly with distance, so the work done by friction (Wfriction) is the integral of the friction force over the distance. The integral is equal to the area under the graph of friction force versus distance. Therefore, the equation can be rewritten as:
∫Ffriction(x)dx = ΔKE

The integral is equal to the area under the graph of friction force versus distance from 0 to the stopping point. Since the coefficient of friction increases linearly from 0.100 at P to 0.600 at 12.5 m past point P, we can calculate the stopping point using the equation:
0.100x + 0.500(x-12.5) = ΔKE

Solving the equation for x, we find that the box stops at x = 23.6 m.

2)At the stopping point, the coefficient of friction is 0.600.

3) This is because the integral of the friction force with a constant coefficient of 0.100 is equal to 0.100x, where x is the distance traveled.

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Given data

*The half-life of iodine-131 is t = 8.07 days

*The amount of quantity left is N = 0.25 g

*The number of days is T = 40.35 days

The expression for the radioactivity decay is given as

Substitute the values in the above expression as

Answer:

See below

Explanation:

40.35 days / (8.07 day per half life) = 5 half lives

.25 = x ( 1/2)^5

.25 / ( 1/2)^5 = x = 8 gm originally

Answer:

The net force is 10 N.

Explanation:

A "net force" occurs when a particular object accelerates. It refers to the total number of forces that act on an object.

The boy pulling the cart and the other pushing it do their actions in the same direction. The force of pulling is 6 N while the force of pushing is 4 N. This means that the total force will not be cancelled.

To get the net force, add both forces since they are in the same direction (east).

Net force = 6 N + 4 N

Net force = 10 N (Newtons)

Answer:

x = 65.82877053 m

Explanation:

Fnet = -F f  = ma

-μ Fnorm = ma

(-μ) mg  = ma

(-μ) (g) = a

\(a = -(mu) g = -(0.41)(9.80 m/s^2) = -4.018 m/s^2\\\\v^2 = vinitial^2 + 2ax\\x = \frac{v^2 - vinitial^2}{2a} = \frac{0 - (23m/s)^2}{2(-4.018 m/s^2}\\x = 65.82877053 m\)

The distance required to stop by car is 65.96 m.

Given data:

The initial speed of Ke Min is, u = 23 m/s.

The mass of car is, m = 1200 kg.

The distance between the branch and Ke Min is, d = 60.0 m.

The coefficient of kinetic friction between the car’s locked tires and the road is, \(\mu =0.41\).

Here in the given problem, the frictional force will oppose the motion of the car. So, the linear force causing the acceleration is,

F = f

\(ma = -\mu \times m \times g\\\\a = -\mu \times g\\\\a = -0.41 \times 9.8\\\\a =-4.01 \;\rm m/s^{2}\)

Now, apply the third kinematic equation of motion to obtain the stopping distance (s) as,

\(v^{2} = u^{2} +2as\\\\0^{2} = 23^{2} +2(-4.01)s\\\\s = \dfrac{529}{8.02}\\\\s =65.96 \;\rm m\)

Thus, we can conclude that the distance required to stop by car is 65.96 m.

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We know, length of segment wave is half the wavelength .

Let, wavelength of wave is \(\lambda\).

So, length of segment will be \(\dfrac{\lambda}{2}\) .

Now, it is given that the string vibrates in four segments.

So,

\(L = 4\times \dfrac{\lambda}{2}\\\\L = 2\lambda\\\\\lambda = 1\ m\)

Speed can be given by :

\(speed = wavelength \times frequency\\\\speed = 1\times 120\ m/s\\\\speed = 120\ m/s\)

Therefore, the wave speed in the string is 120 m/s.

Answer:

1.96m/s^2

Explanation:

According to Newtons second law;

F = ma

a = F/m

a = nR/m

a = nmg/m

a = ng

n is he coefficient of friction = 0.2

g  = 9.8m/s^2

a = 0.2 * 9.8

a = 1.96m/s^2

Hence the acceleration of the box is 1.96m/s^2

Answer: The battery casing will explode

Explanation: Hydrogen gas will be released because of the heat which may cause an explosion.

The term used for the tendency to attribute your own behavior to external causes while attributing the behavior of others to internal causes is "self-serving bias."

This bias refers to the common human tendency to take credit for our successes and to blame external factors for our failures, while doing the opposite for others. In other words, we tend to see ourselves in a more positive light than we do others. This bias can be observed in many aspects of life, including work, relationships, and even politics.

For example, if we receive a promotion at work, we might attribute it to our hard work and skills, while if a colleague receives the same promotion, we might attribute it to luck or favoritism. The self-serving bias can lead to misunderstandings, conflicts, and unfair treatment of others, so it's important to be aware of it and to try to overcome it through empathy, perspective-taking, and self-reflection.

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Answer:

Farmers

Explanation:

At the time of founding our country most soldiers in the revolutionary war were farmers who were inexperienced.

Answer:

D. farm workers

Explanation:

It is because when they started founding the country, people needed food and everything was based on agriculture and economy, and the main economy wat cotton and tobacco.

Answer:  Mass

Explanation:

Answer:

True

Explanation:

Answer:

a) "gravitation" is the force causing you to go down a waterslide

b) It is "fluid friction" as a solid object (our body) moves over a fluid (the water)

c) It would become "sliding friction" since two solid surfaces slide over each other

d) fluid friction being the weakest friction, switching to sliding friction means a higher decrease in speed and therefore removing the water from a slide will decrease our speed

The sum of the x components of the forces acting on block 2 is given by the equation ∑F2x = Tcos(θ) - mgsin(θ).

Here, T is the tension, m is the mass of the block, g is the acceleration of gravity, and θ is the angle of the incline.

This equation can be used to calculate the x components of the forces in a variety of situations, such as when the block is being pulled up an incline or when it is in equilibrium. It is important to note that the forces acting on the block must be expressed in terms of their x and y components in order for the equation to be accurate. Additionally, it is important to consider the direction of the forces when calculating the x components, as the sign can have a significant impact on the result.

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Answer:

The answer is T-m2gsin(theta)

Explanation:

John charges the rod through friction, then charges the electroscope through induction.

A charging technique called induction charging involves charging a thing without actually contacting it to another charged object.

The charged particle is held close to an uncharged conductive substance that is grounded on a neutrally charged material during the charging by induction process. When a charge is transferred between two objects, an uncharged conductive substance produces an oppositely polarized charge.

The rod is firstly charged by friction with the cotton fabric then John charges the rod through induction, then charges the rod to the electroscope.

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(a)

The velocity of the body at x = 4.6 m is -2.69 m/s.

Number: -2.69

Units: m/s

(b)

The positive value of x where the body will have a velocity of 5.5 m/s is 9.6 m.

Number: 9.6

Units: m

Mass of the body, m = 2.3 kg

Force acting on the body, Fx = −4 N

Initial velocity of the body, u = 0 m/s

Velocity of the body at x = 1.4 m, v = 9.1 m/s

Let's find the acceleration of the body at x = 1.4 ma

= F/m

= (-4 N)/2.3 kg

= -1.74 m/s²

(a)

Now, let's find the velocity of the body at x = 4.6 m

Final position of the body, x = 4.6 m

Initial position of the body, x = 1.4 m

Distance covered by the body, s = x - u = 4.6 - 1.4 = 3.2 m

Using the second equation of motion,

v² = u² + 2as

v² = 0 + 2 × (-1.74) × 3.2

v = -2.69 m/s

The velocity of the body at x = 4.6 m is -2.69 m/s.

Number: -2.69

Units: m/s

(b)

Now, let's find the positive value of x where the body will have a velocity of 5.5 m/s.

Final velocity of the body, v = 5.5 m/s

Initial velocity of the body, u = 0 m/s

Let the distance covered by the body be s meters.

Using the third equation of motion,v² = u² + 2as

5.5² = 0 + 2a × s

We know, a = -1.74 m/s²

5.5² = 2 × (-1.74) × s

s = 8.2 m

Therefore, the positive value of x where the body will have a velocity of 5.5 m/s is 1.4 + 8.2 = 9.6 m.

Number: 9.6

Units: m

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An object moving at a constant velocity is in equilibrium.

A moving object is in equilibrium if it is moving with constant velocity (that is, no acceleration). According to Newton's first law of motion, the net force must be zero. Objects at rest will remain stationary, and objects in motion will continue to move in a straight line at a constant speed unless an unbalanced force acts on them.

Other major factors such as friction therefore do not affect the speed of this moving object. Without acceleration, an object can move and remain in equilibrium.

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