If white light illuminates a diffraction grating having 790 lines/mm , over what range of angles does the visible m = 1 spectrum extend?

We have to heat a brass rod at 982.4[tex]\rm ^\circ C[/tex] for it to be 1.8 % longer than it is at 30.

Given :

Brass rod is 1.8 % longer than it is at 30[tex]\rm ^\circ C[/tex].

Solution :

We know that,

[tex]\rm \dfrac{\Delta L}{L_0}=\alpha \Delta T[/tex]

[tex]\rm \dfrac{\Delta L}{L_0}=\alpha ( T_2-T_1)[/tex]      ---- (1)

Where, [tex]\rm \Delta L[/tex] is the elongation,

[tex]L_0[/tex] is the original length,

[tex]\alpha[/tex] is the coefficient of linear expansion. For brass,

[tex]\rm \alpha = 18.9\times 10^-^6/^\circ C[/tex],

[tex]\rm \Delta T[/tex] is the change in temperature.

1.8 % length expansion means:

[tex]\rm \dfrac{\Delta L}{L_0} = 0.018[/tex]

Now put the values of

[tex]\rm \alpha ,\;\dfrac{\Delta L}{L_0},\;and\;T_1[/tex]     in equation (1) we get:

[tex]\rm 0.018 = 18.9\times 10^-^6 \times(T_2 - 30)[/tex]

[tex]\rm T_2 = 982.4\; ^\circ C[/tex]

We have to heat a brass rod at 982.4[tex]\rm ^\circ C[/tex] for it to be 1.8 % longer than it is at 30.

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The lithosphere, encompassing Earth's crust and the uppermost rigid portion of the mantle, is the layer divided into tectonic plates. These plates move due to the convection of the mantle and are responsible for many geological processes.

The physical layer of Earth that is broken into tectonic plates is known as the lithosphere, which includes the crust and the uppermost, rigid portion of the mantle. The lithosphere is about 100 kilometers thick and is broken into several tectonic plates that cover Earth's surface, including both continental and oceanic crust.

These tectonic plates fit together like a jigsaw puzzle and move due to the process of mantle convection, where heat from Earth's interior causes the upward flow of warmer mantle material and the downward sinking of cooler material. This movement can cause the plates to drift apart, collide, or grind past each other, leading to various geological phenomena such as earthquakes, volcanic activity, and the formation of mountain ranges.

The asthenosphere beneath the lithosphere is involved in the movement of these plates as well; it acts as a soft, ductile layer allowing the rigid plates of the lithosphere to move over it. The slow but steady motion of tectonic plates is driven by numerous forces, including the heat transfer from Earth's interior which is an essential aspect of planet's cooling system.

Question one the answer is 339 kj

Question two the answer is 9.02 kj

Question three - No

The rate constant of the first-order process that has a half-life of 3.50 min is approximately 0.00330 [tex]s^{-1}[/tex].  

The rate constant of a first-order process is related to its half-life through the equation:

Given that the half-life ([tex]t{\frac{1}{2}[/tex]) of the process is 3.50 minutes, we need to convert this time into seconds:

Now, substituting the half-life into the equation for the rate constant:

Calculating the rate constant:

Therefore, the rate constant of the first-order process is approximately 0.00330 [tex]s^{-1}[/tex].

Answer with Explanation:

The Statement of Chemical Reaction is:

   Carbon burns in the presence of oxygen to give carbon dioxide.

Writing it in terms of Chemical Reaction

   [tex]C (\text{Carbon}) +O_{2}(\text{Two Atoms of Oxygen})=CO_{2}[/tex]

That is Carbon when combines with two molecules of Oxygen gives Carbon Dioxide.

The correct answer to fill in the blank would be:

“a barrier island”

Barrier islands are coastal landforms and a category of dune system that are remarkably even or lumpy areas of sand that was formed by wave and tidal actions that are parallel to the mainland coast. Due to this feature, there are no enough sand blockades to minimize the destruction by Hurricane Sandy.

The answer is the universe. It can be defined as everything that exists, everything that has occurred, and everything that will exist.  It is also all of space and time and its contents which comprises of moons, planets, minor planets, stars, galaxies, the contents of intergalactic space and all matter and forms of energy (including electromagnetic radiation and matter), and the physical laws that relate them. The Universe covers all of life, all of history, and some theorists and scientists recommend that it even encompasses notions such as logic and mathematics.

Final answer:

The universe is the totality of all space, time, matter, and energy. In physics, the study of energy, matter, space, and time falls under the field of physics. It explores concepts such as gravity, electromagnetism, strong and weak nuclear forces that govern the behavior of matter and energy in the universe.

Explanation:

The universe is the totality of all space, time, matter, and energy.

In physics, the study of energy, matter, space, and time falls under the field of physics. It is concerned with describing the interactions between these fundamental components and understanding the mechanisms that underlie every phenomenon.

For example, physics explores concepts such as gravity, electromagnetism, strong and weak nuclear forces that govern the behavior of matter and energy in the universe.

To taxi a tricycle-gear equipped airplane with a left quartering tailwind, hold the elevator control fully forward and the aileron control to the left - to prevent the wind from lifting the tail or wing.

When taxiing a tricycle-gear equipped airplane with a left quartering tailwind, the flight controls should be held in a specific manner to maintain control of the aircraft. The elevator control should be fully forward and the aileron control turned to the left. This means the yoke or stick should be pushed forward and turned to the left.

Why so? This configuration of controls help prevent the wind from getting under the tail or wing and causing a loss of control. The left aileron up bubble helps prevent the left wing from being lifted by the wind. The elevator down bubble will prevent the wind from getting beneath the tail and lifting the nose.

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The best place to store a fire extinguisher on a boat is in an easily accessible and visible location. It should be secured to prevent it from moving during rough seas.

The best place to store a fire extinguisher on a boat is in an easily accessible and visible location. It should be placed in an area where it is not likely to be damaged or obstructed. Common locations include near the helm, in the galley, or in the engine compartment. It is important to secure the fire extinguisher with mounting brackets or straps to prevent it from moving during rough seas.

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Answer: 54 miles per hour

Explanation:

Given: Distance = 162 miles

As the car left point a at 7:30 am and arrived at point b.

Time taken to travel from point a to b = 3 hours

Therefore, the average speed =[tex]\frac{\text{total distance}}{\text{total time}}[/tex]

[tex]=\frac{162}{3}=54\text{ miles per hour}[/tex]

Hence, the average speed = 54 miles per hour

The average speed of the car, which travelled 162 miles over a period of 3 hours, is calculated as total distance divided by total time -- in this case, 54 miles per hour.

To calculate the average speed of the car, we divide the total distance travelled by the total time taken. In this case, the car travelled 162 miles between 7:30 am and 10:30 am, which is a period of 3 hours. Therefore, we calculate the average speed as follows: 162 miles / 3 hours = 54 miles per hour. So, the car's average speed over the whole journey from point A to point B was 54 miles per hour. In the context of this problem, 'average speed' is a measure of the total distance covered in a given time period, regardless of changes in speed or direction over the course of the journey.

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Answer:

Find an activity you enjoy and make it a priority in your schedule

Explanation:

Rounded to two significant figures, the initial activity of the sample was approximately 390000 μCi.

We have,

The decay of a radioactive substance follows an exponential decay formula:

N(t) = N₀ [tex](1/2)^{t / T},[/tex]

where:

N(t) is the quantity of the substance remaining at time t.

N₀ is the initial quantity of the substance.

t is the time that has passed.

T is the half-life of the substance.

In this case, we are given:

Half-life (T) = 32.5 days,

Activity after 97.5 days (N(97.5d)) = 3.1 Ci.

Since activity (A) is proportional to the quantity of the substance

(A = λ * N), we can write:

[tex]A(t) = A_0 ~(1/2)^{t / T},[/tex]

where:

A(t) is the activity at time t.

A₀ is the initial activity.

Given that A(97.5d) = 3.1 Ci, we can substitute the values and solve for A₀:

3.1 Ci = A₀ x [tex](1/2)^{97.5d / 32.5d}.[/tex]

Solving for A₀:

[tex]A_0 = 3.1 Ci / (1/2)^{97.5d / 32.5d}\\A_0= 3.1 Ci / (2^{3)}.[/tex]

Calculating:

A₀ ≈ 0.3875 Ci.

Now, we need to convert this to microcuries (μCi):

1 Ci = [tex]10^6[/tex] μCi,

So,

A₀ = 0.3875 Ci x [tex]10^6[/tex] μCi/Ci ≈ 387500 μCi.

Thus,

Rounded to two significant figures, the initial activity of the sample was approximately 390000 μCi.

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The complete question:

The radioactive decay of cesium-141 (Ce-141) has a half-life of 32.5 days. After 97.5 days have elapsed, a sample of Ce-141 has an activity of 3.1 curies (Ci). What was the initial activity, in microcuries (μCi), of the sample? Provide your answer using two significant figures.

To find the initial activity of the sample, we can use the concept of radioactive decay and the given half-life and activity measurements.Rounding to two significant figures, the initial activity of the sample is approximately 2.5 * 10^7 microcuries (μCi).

1. The half-life of cesium-141 (Ce-141) is 32.5 days, which means that every 32.5 days, the activity of the sample is reduced by half.

2. After 97.5 days, the activity of the sample is measured to be 3.1 curies (Ci).

To find the initial activity, we need to determine how many half-lives have occurred in 97.5 days. We can do this by dividing 97.5 days by the half-life of 32.5 days.

3. 97.5 days ÷ 32.5 days = 3 half-lives.

Since each half-life reduces the activity by half, three half-lives will reduce the activity to (1/2) * (1/2) * (1/2) = 1/8 of the initial activity.

4. Therefore, the current activity is 1/8 of the initial activity.

Given that the current activity is 3.1 curies (Ci), we can find the initial activity by multiplying the current activity by 8.

5. 3.1 curies * 8 = 24.8 curies.

To convert the activity to microcuries (μCi), we can multiply by 10^6 since 1 curie is equal to 10^6 microcuries.

6. 24.8 curies * 10^6 = 2.48 * 10^7 microcuries (μCi).

Rounding to two significant figures, the initial activity of the sample is approximately 2.5 * 10^7 microcuries (μCi).

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Newton’s second law states that force is the product of mass and acceleration. This is expressed mathematically as:

F = m * a

Where F = force, m = mass, a = acceleration

Since in the given problem, the force is constant or same force is acting upon two objects. Therefore we can simply equate the expression m * a of the 2 objects.

m1 * a1 = m2 * a2

Where m1 = 2 kg, a1 = 38 m/s^2, m2 = 19 kg. Therefore finding for a2:

2 kg * 38 m/s^2 = 19 kg * a2

a2 = 4 m/s^2     (ANSWER)

This is because Helium has two valence electrons compared to Hydrogen which has only one. Helium has more energy levels for an electron to jump thus more spectral lines to occur. The spectral lines relating to each change of energy level would be more grouped together and hence the greater chance of them falling in the visible range.

Helium has more spectral lines than hydrogen due to the differences in their atomic structure and electron configurations, leading to a higher number of possible transitions and spectral lines.

Helium has more spectral lines than hydrogen because of the differences in the atomic structure of the two elements. While both elements exhibit similar spectral series, helium has two series of lines for every one series observed in hydrogen. This is due to the presence of two electrons in helium compared to one in hydrogen, resulting in more possible transitions and spectral lines.

Final answer:

Catching a fast-moving softball with an extended hand moving backward reduces the catching force because this technique increases the time over which the collision occurs, thus lowering the force applied to the hand according to the impulse-momentum theorem.

Explanation:

The student's question pertains to the physics concept of impulse and how it applies to catching a fast-moving softball with one's bare hands. When you move your hand backward upon catching the ball, you are increasing the time over which the collision between your hand and the ball occurs. According to the impulse-momentum theorem, the impulse on an object is equal to the change in momentum of the object, which is the product of the mass and change in velocity (force applied over a period of time). By increasing the time, the force exerted on your hand by the ball decreases, making it less painful and reducing the likelihood of injury.

Using the formula impulse = force × time, by increasing the time during which the force is applied (the time during which your hand moves backward), you are effectively spreading out the force over a longer period, and thus, the peak force felt by your hand is lower. This is similar to the concept of crumple zones in cars which extend the time of impact and reduce the force felt by the occupants.

Therefore, when catching a fast-moving softball with your hand, extending your hand forward and allowing the ball to ride backward with your hand reduces the catching force due to the longer duration over which the force is applied, resulting in a smaller impulse felt by your hand. This is why this technique is often used by players to catch high-speed balls safely.

Final answer:

The magnetic force on a stationary charged particle is zero, while the magnetic force on a moving charged particle is non-zero. When charges are stationary, their electric fields do not affect magnets. However, when charges move, they produce magnetic fields that exert forces on other magnets.

Explanation:

The magnetic force on a stationary charged particle is zero, while the magnetic force on a moving charged particle is non-zero. When charges are stationary, their electric fields do not affect magnets. However, when charges move, they produce magnetic fields that exert forces on other magnets. The magnitude of the magnetic force on a charge q moving at a speed v in a magnetic field of strength B is given by F = quB sin θ.

In order to free your vessel when you run aground in an outboard boat and you are not taking on the water, the very first thing you need to do is just to stop the boat’s engine to stop it from moving then try to lift the out drive, and shift the weight away from the impact zone.  Once this is done, you can already now assist the situation and you will be sure that the bat will no longer take into the water.  You can now set an anchor in order for you to be safe from the force that can push you and the boat further.  You can then use the boat hook so you can check how deep the water is around you.

If you run aground in an outboard boat and you are not taking on water, the first step in attempting to free your vessel is to stop the engine and then lift it.

A gasoline engine refers to a mechanical system that is designed and developed to use hydrocarbons such as fuels, in order to enable a vehicle or boat to move from one point to another on a water surface.

In Engineering, an outboard gasoline engine is typically installed on the outside of a vehicle or transport system such as a boat, rather than in its interior.

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Final answer:

To excel at volleyball, Doug should focus intently on deliberate practice of jumping, speed, agility, endurance, and hand-eye coordination, backed by continuous assessment and technique improvement.

Explanation:

Doug wants to excel at volleyball and has listed a set of skills to improve on, including jumping, speed, agility, endurance, and hand-eye coordination. To truly excel, Doug should focus on deliberate practice in these areas as it is the key to success in athletic events according to studies by Anders Ericsson. Additionally, an internal and external focus on physical performance, as studied by Gabrielle Wulf and colleagues, can enhance outcomes related to balance, accuracy, speed, and endurance, which are essential for volleyball. Doug should assess his current skill levels, identify specific ways to improve, and engage in intensive practice and mental agility exercises to improve his volleyball performance.

An artesian well is a well drilled into an artesian aquifer. An artesian aquifer is a small aquifer which contains groundwater under positive pressure. Since the water is under positive pressure, this forces the water level in the well to rise above the water surface up to a point where hydrostatic equilibrium is reached. This results in the formations of “Springs”.

Answer: Spring 

Final answer:

An artesian well can create a spring when the pressure is sufficient to allow water to flow to the surface. This event has the potential to affect the local water table and contribute to larger water management challenges such as saltwater intrusion and subsidence.

Explanation:

When an artesian well begins to push out enough water that gravity causes it to flow to a lower region, a spring is formed. This occurs when the pressure within the confined aquifer becomes greater than the pressure exerted by the atmosphere above it, allowing the groundwater to flow out without the need for pumping. If the water finds its way to the surface, it can emerge as a spring and potentially form a stream, depending on the topography and geology of the area.

The creation of a spring due to the development of an artesian well may alter the local water table and potentially reduce the volume of water in other nearby wells or surface water bodies. Associated issues such as groundwater mining, saltwater intrusion, and damage through subsidence and sinkholes can arise if the water extraction is not managed sustainably, contributing to the broader context of a water supply crisis.

The volume of the mercury sample is approximately 4.28 × 10⁻⁶ m³.

To find the volume of the mercury sample, we can use the formula: density = mass/volume. Rearranging the formula, we have volume = mass/density. The weight of the sample is 6.0 N, and with the acceleration due to gravity being 9.81 m/s², we can calculate the mass of the sample using the formula weight = mass × acceleration due to gravity. Therefore, mass = weight/acceleration due to gravity. Plugging in the values, we get mass = 6.0 N/(9.81 m/s²).

Next, we substitute the calculated mass and the given density into the formula to find the volume: volume = mass/density. With the calculated mass and the given density of 13.6 × 10³ kg/m³, we get volume = mass/density = (6.0 N/(9.81 m/s²))/(13.6 × 10³ kg/m³).

Simplifying the expression, the volume of the sample is approximately 4.28 × 10⁻⁶ m³.

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Explanation:

Humans might hold picnic outside in the bright sunny daylight and enjoy their day with family and friends. People will relax and will spend time with their near and dear ones. Less condensation means no rainfall, so people will also do few works that they have been willing to do but could not do due to rainfall. Thus people will be in a happy mood doing their work and spending their time with close ones. A sense of positiveness and happiness will surround the atmosphere.