When a metal sheet with a tiny hole expands due to heating, the angular location of the first-order diffraction maximum will increase.
When a metal sheet containing a tiny hole is heated, it expands uniformly in all directions. This causes the diameter of the hole to increase. According to the diffraction formula, sin(θ) = mλ/D, where θ is the angular location of the diffraction maximum, m is the order number, λ is the wavelength of light, and D is the diameter of the hole.
When D increases due to the expansion, sin(θ) becomes smaller to maintain the equation's equality. Consequently, the angle θ also increases to compensate for the change in D, leading to an increased angular location of the first-order diffraction maximum.
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Calculate the wavelength (in nm) of visible light emitted by a hydrogen atom when its excited electron drops from n = 6 to n = 2.
After considering the given data we conclude that the wavelength of visible light emitted by a hydrogen atom when its excited electron drops from n = 6 to n = 2 is approximately 102.55 nm.
To evaluate the wavelength (in nm) of visible light emitted by a hydrogen atom when its excited electron drops from n = 6 to n = 2, we can apply the Rydberg formula:
\(1/\lambda = R(1/n_1^{2} - 1/n_2^{2} )\)
Here:
λ = wavelength of the emitted light
R = Rydberg constant \((1.097 *10^7 m^{-1} )\)
\(n_1\) and \(n_2\) = initial and final energy levels of the electron
Applying substitution of the given values, we get:
\(1/lambda = (1.097 * 10^7 m^{-1} )(1/6^{2} - 1/2^{2} )\)
Evaluating for λ, we get:
λ = 102.55 nm
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How much power is required to light a lightbulb at 100V of voltage when the lightbulb has a resistance of 500 Ohms?
Answer:
Power = 20 Watts
Explanation:
Given the following data;
Voltage = 100 V
Resistance = 500 Ohms
To find the power that is required to light a lightbulb;
Mathematically, power can be calculated using the formula;
\( Power = \frac {Voltage^{2}}{resistance} \)
Substituting into the formula, we have;
\( Power = \frac {100^{2}}{500} \)
\( Power = \frac {10000}{500} \)
Power = 20 Watts
b) A force is represented in magnitude and direction as (6N, 250degrees. Find both the vertical and horizontal components of the force.
Answer:
Explanation:
To find the horizontal component, the x component specifically, use the formula:
\(V_x=Fcos\theta\) and for the vertical component, the y component, use the formula:
\(V_y=Fsin\theta\)
where F is the magnitude of the force and theta is the angle in degrees.
For the x-component:
\(V_x=6cos250\) so
\(V_x=-2.1\) and depending upon whether this is a displacement vector or a velocity vector, the label would be meters/feet or m/s, respectively.
For the y-component:
\(V_y=6sin250\) so
\(V_y=-5.6\)
The figure shows three displacement vectors, which are labeled a, b, and c What is the magnitude and direction of the resultant vector found by adding a and b
Answer:
C. 13m west.
Explanation:
because a and b are going opposite directions, all we have to do is find the difference between those 2 values.
15-2 = 13
and it would be 13 west because A has the bigger arrow, so we just copy that direction.
which of the following refers to stored energy that an object has due to its position?
Explanation:
Energy stored in an object due to its position is Potential Energy. Energy that a moving object has due to its motion is Kinetic Energy.
Imagine you re in an entrepreneur and have been provided a loan by a bank to set up a small electro plating unit. What would you like to electorate and for what purpose?
Answer:
Electroplating involves deposition of a thin layer of metal onto the surface of a substance(compound) through electric current. This helps preserve the substance(compound) from rust and oxidative damage.
As an entrepreneur which has been provided a loan by a bank to set up a small electro plating unit. I would venture into electroplating electronic/electric appliances parts.This is because these types of appliances are in vogue now and used my millions of people for their day to day activities. This means that more people will come for various degrees of production and repairs which would include electroplating . This translates to more customers and more money for the repayment of the loan.
Esteem needs focus on? None of these is correct basic needs OOOO O the need for friendship. various types of support
Esteem needs are not related to basic needs, such as food, water, and shelter, but they are higher needs that must be satisfied. Therefore, the right answer is "None of these is correct basic needs."
Esteem needs are concerned with people's self-image and how they are viewed by others. Esteem needs involve feeling accomplished, respected, and acknowledged. Esteem needs are split into two types, inner and external esteem.Inner esteem is determined by self-esteem, which is how a person regards themselves. Inner esteem is related to a person's sense of worth and value.
It is a mental state in which a person feels good about themselves and their abilities. To have a positive sense of self-esteem, people must feel valued and respected for who they are. It aids in the development of self-confidence and self-worth. It is the starting point for creating meaningful friendships and relationships.External esteem, on the other hand, is the perception of the individual by others.
When we say "esteem" in a social context, we usually mean what others think of us. Esteem needs are not related to basic needs, such as food, water, and shelter, but they are higher needs that must be satisfied. Therefore, the right answer is "None of these is correct basic needs."
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if the frequency is 40 hzhz , what is the period ttt ? express your answer in seconds.
The time period for the given question would be 1/40 seconds.
Determining time period:
The frequency is 40 Hz. To find the period, t, we can use the formula: T = 1/f where T is the period and f is the frequency. Therefore, T = 1/40 seconds. An explanation is given below with the terms such as period, harmonic oscillations, amplitude, and wave.
What is the time period?
A time period is defined as the time that a wave takes to complete one full cycle of harmonic oscillations. It is the reciprocal of the frequency. The time period is a measure of time taken by a wave to complete one cycle of its motion. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. It is a measure of the strength of the wave.
What is a wave?
The wave is a disturbance that transfers energy through a medium. Waves are characterized by their frequency, wavelength, and amplitude. Harmonic oscillations are the regular and repeated motion of a system about its equilibrium position. They are periodic motions in which the system moves back and forth with a fixed frequency and amplitude.
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Sound waves are longitudinal waves and are also called _____ waves.A.electromagneticB.mechanicalC.transverseD.surface
ANSWER:
B. mechanical
STEP-BY-STEP EXPLANATION:
Sound or sonic waves are a mechanical waves created by a vibrating object.
So the correct answer is B. mechanical
the movement of materials from low to high concentration
The movement of materials from low to high concentration area is called Active transport.
What is a process of active transportation?Active transport is described as a process in which molecules are transferred using external energy from an area of lower concentration to a region of greater concentration in resistance to a gradient or an obstacle. To move charged or uncharged substrates despite their thermodynamic forces, active transport, sometimes referred to as uphill transport, requires to link to another spontaneous process.
Why is active transport termed osmosis?The movement of ions or other molecules through with a semipermeable membrane into a higher concentration region is known as active transport. Because it uses enzymes and energy to operate, this method is referred to as "active" transport.
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how is rotational inertia similar to inertia as we studied it in the previous chapters? how does torque affect rotation? explain the lever arm.
Rotational inertia is similar to inertia in that both deal with an object's resistance to changes in motion. Torque affects rotation by causing a change in an object's rotational motion. Lever arm refers to the distance between the axis of rotation and the point where a force is applied to an object.
Inertia is the tendency of an object to remain at rest or in uniform motion unless acted upon by an external force. Similarly, rotational inertia is an object's resistance to changes in its rotational motion. Both types of inertia depend on the mass of the object and the distribution of that mass relative to the axis of rotation.
Torque is defined as the force applied to an object multiplied by the distance from the axis of rotation. The greater the torque applied to an object, the greater the change in its rotational motion.
For example, if a wrench is used to apply a torque to a bolt, the bolt will either start to rotate or its rotational speed will increase.
In general, torque causes an object to experience an angular acceleration in the direction of the torque.
The lever arm determines the amount of torque that can be applied to an object. The longer the lever arm, the greater the torque that can be applied to an object.
Similarly, the shorter the lever arm, the smaller the torque that can be applied to an object.
In general, the lever arm is an important factor in determining how much torque can be applied to an object.
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what is the demand for resources, such as food, water, and shelter.
Daphne swings a 15.0 kg bucket of water in a vertical circle of radius 1.3 m. What is the minimum speed, v, at the top of the circle that the pail has to go if the water is not to spill?
Answer:
3.6 m/s
Explanation:
How much energy, in kj, is transferred between the system and surroundings when 250. 0 g of potassium fluoride is dissolved into water? the molecular mass of kf is 58. 10 g/mol. Give your answer as a positive number.
Environmental energy is taken in at a rate of 745 kJ per second (E = +745 kJ).
What is thermodynamics?The region of the universe in which observations are made is referred to as a thermodynamic system, while the rest of the universe is referred to as the surrounds. Everything but the system is present in the environment. Together, the system and its surrounds make up the cosmos. The system and the environment make up the cosmos.
We are aware that any tie must be broken with energy. As a result, energy from the environment will be absorbed to dissolve the acetone's CO bond. The double bond between the CO atoms in the acetone molecule has a dissociation energy of 745 kJ/mol at the moment. Therefore, Energy Change will be:
Environmental energy is taken in at a rate of 745 kJ per second (E = +745 kJ).
Potassium fluoride is the substance that the chemical formula KF stands for. After hydrogen fluoride, KF is the primary source of the fluoride ion for usage in industry and chemistry. It is a type of alkali halide known as carobbiite, an uncommon mineral.
Potassium fluoride, which is insoluble in water and is employed in oxygen-sensitive processes like metal production, is a source of potassium.
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a spherical shell and a solid sphere (both of the same total mass) are rotating about a diameter at the same angular frequency and with the same rotational kinetic energy. what is the ratio of the spherical shell radius to the solid sphere (i.e., rspherical shell/rsolid sphere)?
Answer:
I (shell) = 2/3 M R^2
I(sphere) = 2/5 M R^2
I(shell) / I(sphere) = (2/3) / (2/5) = 5/3
R(shell) / R(sphere) = (5/3)^1/2 = (15)^1/2 / 3
A toy boat moves horizontally in a pond. The horizontal position of the boat in meters over time is shown below.
please help!
An object is fired up a frictionless ramp, 65° above the horizon. If it’s initial velocity is 35m/s how long does it take for the object to return to starting point?
Answer:
t= 7.88
Explanation:
Starting with F=ma.
The only force that is going to cause an acceleration is gravity (if we use the coordinate system I described).
F = ma
mgsin65 = ma
a = gsin65
Vf = Vi + at
0 = 35 m/s + (gsin65)t
t = 35/gsin65
multiply it by 2 to get whole time
t = 70/gsin65
t = 7.88 seconds.
A 18.0-μF capacitor is charged to a potential of 50.0 V and then discharged through a 285-Ω resistor. How long does it take the capacitor to lose half of its charge? How long does it take the capacitor to lose half of its stored energy?
The capacitor takes approximately 2.27 ms to lose half of its charge and 75% to lose half of its stored energy.
To find the time it takes for the capacitor to lose half of its charge, we can use the formula for the voltage across the capacitor during discharge:
V(t) = V0 * e^(-t / (R * C))
Where V(t) is the voltage at time t, V0 is the initial voltage (50.0 V), R is the resistance (285 Ω), C is the capacitance (18.0 μF), and e is the base of the natural logarithm.
We want the voltage to be half of the initial voltage, so V(t) = 25.0 V. Now we can solve for t:
25.0 V = 50.0 V * e^(-t / (285 Ω * 18.0 μF))
0.5 = e^(-t / (285 Ω * 18.0 μF))
Taking the natural logarithm of both sides:
ln(0.5) = -t / (285 Ω * 18.0 μF)
Now, solve for t:
t = - ln(0.5) * (285 Ω * 18.0 μF) ≈ 2.27 ms
So, it takes approximately 2.27 ms for the capacitor to lose half of its charge.
For the time it takes to lose half of its stored energy, since the energy stored in a capacitor is directly proportional to the square of the voltage across it, when the capacitor loses half of its charge (voltage), it loses 1 - (1/2)^2 = 1 - 1/4 = 3/4 or 75% of its stored energy.
Therefore, it takes the same 2.27 ms for the capacitor to lose half of its stored energy.
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What is the period of a water wave is 4 complete waves pass a fixed point in 10 seconds?
A: 0.25 s
B: 0.40 s
C: 2.5 s
D. 4.0 s
The period of a wave is the time it takes for one complete wave to pass a fixed point. We are given that 4 complete waves pass a fixed point in 10 seconds.
To find the period, we can divide the total time by the number of complete waves: 10 seconds ÷ 4 waves = 2.5 seconds per wave
To determine the period of a water wave, we need to know how much time it takes for one complete wave to pass a fixed point. In this case, 4 complete waves pass in 10 seconds.
Step 1: Find the time it takes for one complete wave to pass.
Divide the total time (10 seconds) by the number of complete waves (4 waves).
10 seconds / 4 waves = 2.5 seconds
Step 2: Identify the corresponding answer choice.
The period of the water wave is 2.5 seconds, which corresponds to answer choice C.
Your answer: C: 2.5 s
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a person applies a force of 60.0 n for a distance of 20.0 m to push a desk across a floor at a constant speed. how much work is done by the person?
The work done by the person is: 1200.0 J
What is work?In physics we can say that work is the force applied to a body or object in order to move it from one point to another. In the international system of units, work is expressed as Joules.
To solve this problem, the formula and procedure we will use is:
W = F * x
Where:
W = WorkF = Forcex = displacementProblem data:
x= 20.0 mF= 60.0 NW = ?Applying the work formula we get:
W = F * x
W = 60.0 N * 20.0 m
W = 1200.0 J
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A 6.0 kg object is pushed with a force of 12 N. If the mass of the object is cut in half to 3.0 kg, what happens to the acceleration if the force remains constant?
Answer:
aceleration doubles
Explanation:
From Newton's secon law, one has
F=m*a
where F is the force, m the mass and a the aceleration.
In general, if m becomes m/2, in order to have the same force,
the acceleration must be doubled:
\(F=m*a=\frac{m}{2} (2*a)\)
In our particular case,
\(12=6*a=\frac{6}{2} (2*a)\\12=3(2*a)\)
3. Which of the following is true according to the theory of plate tectonics?
The Earth's crust is one solid plate.
Mantle convection currents cause plate movement.
Plate tectonics only apply to the Earth's continental crust.
Earth's mountains all formed when the crust first formed.
Answer: Mantle convection currents cause plate movement.
Explanation:
Mantle convection currents cause plate movement is a true statement according to the theory of plates.
Plate Tectonics is a geological theory that explains different phenomena that occur in the earth's lithosphere.
In this theory it is established that the earth's crust is fragmented, forming a mosaic of numerous moving pieces of different sizes called plates, which fit together and vary in thickness according to their composition, whether it is the oceanic, continental, or mixed crust.
Additionally, in this theory, it is established that the movement of the plates is due to the convective currents of the earth's mantle.
On the other hand, options A, C, and D are not correct because they show statements that do not agree with the theory of plate tectonics.
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state newtons second law of motion from the equation f: ma
Newton's Second Law of Motion states "The rate of change of momentum of a body is directly proportional to the applied unbalanced force in the direction of force".
Take the direction of east to be positive and west to be negative.
What is the average acceleration of a jet ski that goes from rest (0 m/s) to 12 m/s east in 3 seconds? Remember: acceleration is the change in velocity divided by time.
A. +4 m/s2 E
B. -4 m/s2 E
C. +0.25 m/s2 E
D. -0.25 m/s2 E
A
hope this helped anyone good luck!!!!
Answer:
Its -4m/s^2 I just took the test
Explanation:
In a physics lab experiment, a spring clamped to the table shoots a 19 g ball horizontally. When the spring is compressed 20 cm, the ball travels horizontally 5.2 m and lands on the floor 1.6 m below the point at which it left the spring. What is the spring constant?
Answer:
The spring constant is 907.2 N/m
Explanation:
v^2 = u^2 + 2as
Where:
v = final velocity
u = initial velocity
a = acceleration
s = displacement
As the spring is clamped to the table, the only displacement is horizontal, so the only acceleration is due to gravity. The final velocity is 0, as the ball lands on the floor. Therefore, we can use the equation of motion to determine the initial velocity of the ball:
v^2 = u^2 + 2as
0 = u^2 + 2g(1.6 m)
u = √ (2g(1.6 m))
We know that acceleration due to gravity is 9.8 m/s^2, so:
u = √ (2 * 9.8 * 1.6) = 4.6 m/s
Now we can use the conservation of energy to solve for the spring constant.
The spring constant can be determined by using the equation:
PE = 1/2 kx^2
where PE is the potential energy stored in the spring, k is the spring constant, and x is the compression of the spring.
KE = 1/2 mv^2
where KE is the kinetic energy of the ball, m is the mass of the ball, and v is the initial velocity of the ball
The sum of the potential energy stored in the spring and the kinetic energy of the ball is conserved, so:
1/2 kx^2 = 1/2 mv^2
We can now substitute the values we know into the equation:
1/2 k * (0.2)^2 = 1/2 * (19g) * (4.6m/s)^2
Solving for k:
k = (19g * (4.6m/s)^2 ) / (0.2m)^2
k = 907.2 N/m
Note that the unit of mass is gram (g) and it needs to be converted to kg to make the units consistent.
What kind of energy transformations occur when you hit a coconut with a hammer?
1. Which of the following are true about
electric forces? Check all that apply.
A. Charged objects are pushed by
electric forces.
B. Close charges create strong
forces.
C. Large charges create strong
forces.
D. Opposite charges create
attracting forces.
The following statements are true about electric forces option A. Charged objects are pushed by electric forces and D. Opposite charges create attracting forces.
Charged objects experience a push or pull when subjected to electric forces. Objects with like charges repel each other, while objects with opposite charges attract each other.
Opposite charges create attracting forces. This means that two objects with opposite charges will be pulled towards each other due to the electric force between them. Close charges do not necessarily create strong forces.
The strength of the electric force between charged objects depends on the magnitude of the charges and the distance between them. Large charges alone do not create strong forces. The strength of the electric force depends on both the magnitude of the charges involved and the distance between them. Therefore, the correct answer options are A and D.
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What causes magma to form at a divergent plate boundary?
A divergent plate boundary is a location on Earth's surface where two tectonic plates are moving away from each other. This movement causes the crust to crack and form a rift, which can lead to the formation of magma.
The process begins with the Earth's mantle, the layer of rock below the crust. The mantle is made up of solid rock that is heated by the Earth's core and is in a constant state of convection. As the rock in the mantle rises, it begins to melt and form magma. This magma is less dense than the surrounding rock, so it begins to rise towards the surface.
As the magma rises, it pushes against the crust, causing it to crack and form a rift. The rift is a deep crack in the Earth's surface, and as the tectonic plates continue to move apart, it becomes wider and wider. The magma continues to rise and fill the rift, forming a volcano.
As the divergent plate boundary continues to move apart, the volcano continues to erupt and build up layers of lava and ash. Over time, these layers can build up to form a volcano. This process can continue for millions of years, forming a chain of volcanoes along the divergent plate boundary.
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What is the difference between the columns in the table on a periodic table?
Answer:
One immediate division you might have seen on the periodic table is that the elements and their corresponding boxes are organized into vertical (up and down) columns and horizontal (left to right) rows. This link shows a periodic table with the columns (groups) and rows (periods) labeled. You should open that link up and keep it with you to compare with the explanations and examples in this section. In chemistry, we call the vertical organization either columns or groups. Whereas, the horizontal organization is called rows or periods. The columns or groups are usually labeled at the top of the periodic table by numbers; 1 through 18. On they periodic table that you have open one example of a group is group 17. It contains the elements fluorine, chlorine, bromine, iodine, and so on. The periods on most periodic tables are label on the left side of the periodic table by number 1 through 7. On the periodic table you have open one example of is period 4. It contains the elements potassium, calcium, scandium, titanium, and so on. In general, knowing the groups is a lot more important than knowing the periods. A lot of common properties between elements are shared if they are in the same group. For example, fluorine and chlorine are both in the same group and are both gases at a normal room temperature.
Explanation:
why VR is not affected by friction?
Answer:
Explanation:
VR ( Velocity ratio ) is the ratio of displacement to effort of load. So it is obvious that displacement takes place. Frictional force cannot change the displacement as it only an opposing force. So VR is not affected by friction.
Hope this helps
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Answer:
because VR is velocity ratio