What happens as the aperture of a camera gets larger?

Options:
A. Less light passes through
B. More light is refracted
C. Less light is refracted
D. More light passes through

A particle moving at speed 0.32 c has momentum P₀. the speed of the particle is increased to 0.72 c then its momentum would be 2.25P₀.

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.

Mathematically the formula of the momentum is

P = mv

where P is the momentum of the particle

m is the mass of the particle

v is the velocity by which the particle is moving

As given in the question a particle moving at speed 0.32 c has momentum P₀. the speed of the particle is increased to 0.72 c

by using the formula of the momentum and substituting the values of the velocity

P =mv

As mentioned in the question when the particle is moving with 0.32c velocity it has a momentum of P₀

P₀ = m*(0.32c)

If the speed of the particle is increased to 0.72 c the momentum would be

P=m*(0.72c)

by dividing the second equation from the first one

P₀/P = 0.32c/0.72c

P₀/P = 0.44

P =2.25P₀

Thus, the increased momentum of the particle would be 2.25P₀

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Copernicus rediscovered aristarchus’s model of a heliocentric solar system.

Aristarchus asserted that one may determine the distances between the Sun and Moon by measuring the angle between them when the Moon is half-illuminated (admittedly, the illumination itself suggested the angle). Aristarchus recognised that the Moon does not emit light of its own, but rather shines as a result of the Sun's light.

It's because Polish-born astronomer Copernicus was responsible. He initially introduced the heliocentric hypothesis in his book De revolutionibus orbium coelestium, "On the Revolutions of Celestial Bodies," which was released in.

Therefore, Copernicus rediscovered aristarchus’s model of a heliocentric solar system.

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Answer:

Copernicus

Explanation:

Position the loop so that the field lines run perpendicular to the area vector or parallel to the surface so that there is no induced EMF in the loop

Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts.

Flux is the presence of a force field in a specified physical medium, or the flow of energy through a surface. In electronics, the term applies to any electrostatic field and any magnetic field . Flux is depicted as "lines" in a plane that contains or intersects electric charge poles or magnetic poles.

As we all know that a moving charged particle will experience force by a magnetic field, the magnetic field produced by the field coil remains constant, that is, no force is experienced by electrons of the wire. So, we have to produce a relative motion between magnetic field and electrons.

Whenever the flux passing through the coil changes by any way (like either changing angle, magnetic field or area of coil), we are actually producing a relative motion between electrons and magnetic field. As a result, the electrons experience a magnetic force and shift to produce

flux =  [tex]\int\limits {BAcos(theta)} \,[/tex]

theta = angle between magnetic field and area

Since we know , EMF get induced only when flux changes , if their is no flux change , no EMF can be induced

Hence , in order to not induce any kind of EMF ,we need to maintain a constant flux , but in question it is a changing magnetic field which means changing flux ,in this situation we need to align a flat loop parallel to magnetic field so , their is zero flux through the loop .

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a) For 0 compressions:

potential energy = U =  0 J

kinetic energy = k = 0.383 J

total mechanical energy = E = 0.383 J

b) For compression of 1 cm:

potential energy = U = 0.0228 J

kinetic energy = k = 0.155 J

total mechanical energy = E = 0.383 J

c) For compression of 2 cm :

potential energy = U = 0.1104 J

kinetic energy = k = 0.272 J

total mechanical energy = E = 0.383 J

d) For compression of 3cm:

potential energy  = U = 0.248 J

kinetic energy = k = 0.177 J

total mechanical energy = E = 0.383 J

The equations for kinetic energy is:

k= 1/2*m*[tex]v^{2}[/tex]

The equation for elastic potential energy is:

U= 1/2*ks*[tex]x^{2}[/tex]

Where,

m= mass of the block

v= velocity

ks= spring constant

x= displacement of the spring

(a)when compression= 0 cm

U= 1/2*ks*[tex]v{2}[/tex]

U= 1/2*552*[tex](0)^{2}[/tex]

 = 0 J

Kinetic energy:

k= 1/2*m*[tex]x^{2}[/tex]

k= 1/2*(1.05)*[tex](0.855)^{2}[/tex]

k= 0.383 J

Mechanical energy:

E= k + U

E= 0.383+0

E= 0.383 J

There will be no work done by friction or any other dissipative force, hence this energy will be conserved, or it will remain constant (like air resistance). This indicates that only spring potential energy will be created from the kinetic energy (there is no thermal energy due to friction, for example).

(b) spring potential = ?

U= 1/2* 457 N/m*[tex](0.01)^{2}[/tex]

U= 0.0228 J

Since the mechanical energy must remain constant, we may calculate the kinetic energy using the mechanical energy equation:

E= k + U

0.383= k + 0.0228

k= 0.383 - 0.228

k= 0.155

(c)spring constant when x= 0.02

U= 1/2*552*[tex](0.02)^{2}[/tex]

U= 0.1104 J

Using the equation of mechanical energy:

E= k +U

0.383= k+ 0.1104

k= 0.383 - 0.1104

k= 0.272 J

(d) U= 1/2*552*[tex](0.03)^{2}[/tex]

U= 0.2484 J

E= 0.383 J

k = E - U

k= 0.383- 0.206

k= 0.177

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Answer:

-79.6

-80

-81.2

Explanation:

Fart

What is the change in temperature for the aluminum wire?

-79.6

What is the change in temperature for the steel wire?

-80

What is the change in temperature for the lead pellets?

-81.2

The main transformation of energy is chemical energy to motion energy.

Jay's body converted chemical energy into mechanical energy to wind up the key. Mechanical energy in the key's winding was transformed into potential energy in the spring. The spring then strives to release itself, and as the toy car rolls forward, the potential energy is transformed into kinetic energy or motion energy.

Chemical energy is the energy that is released when chemical substances engage in a chemical reaction and change into other substances.

Potential energy is the power that an object can store as a result of its position in relation to other objects, internal tensions, electric charge, or other circumstances.

The energy that an object has as a result of motion is known as kinetic energy. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

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Hope this is correct.

Potential and kinetic energy are at play when we talk about Newton's second law of motion through the various positions in relation to the bodies involved.

This law states that force is equal to the rate of change of momentum and is denoted as F = mv where m is mass and v is velocity.

Potential energy is the energy is possessed by a body by virtue of its position while kinetic energy is possessed by a body by virtue of its motion. Both forms of energy are influenced by forces and are equal to the total momentum.

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Jovian Planets have low density and no Earth like things, like the terrestrial planets.

All of the planets in our solar system,except Pluto—are categorized as either terrestrial (like Earth) or jovian (like Jupiter) planets

Terrestrial planets:

Jovian planets:

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The length of the colour attribute is 6 characters.

Each colour has a distinct look based on three essential characteristics: hue, chroma (saturation), and value (lightness). It's critical to use all three of these properties when describing colour to appropriately identify it and distinguish it from others.

The HTML <font> color Attribute specifies the text color within the font element. Values of Attributes: colour name: It uses the colour name to set the text colour.

It should be noticed that colours are represented by the hex triplet.

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The resulting change in the magnetic flux is =0.013Wb

what is magnetic flux?

Magnetic flux is defined as the total magnetic field which passes through a given area.It is the number of magnetic field lines that is flowing in a closed area.

Given:

At degree =15.5°,magnetic flux=magnetic field=0.500T

At degree=45.0°, magnetic field=0.500T

Magnetic flux=magnetic field ×Area×cos(angle)

magnetic flux (1) = 0.500×0.1×cos(15.5)

= 0.048

magnetic flux (2) = 0.500×0.1×cos(45)

=0.035

Resulting change in flux = 0.048-0.035

= 0.013Wb

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Answer:

.513 Ω

Explanation:

The current through the 20 Ω load can be found to be

  (12-.3) v / 20 Ω  = .585 A

This current also flows through the internal resistance and produces the .3 v drop across this resistor

V/I  = R

.3 v / .585 A = .513 Ω  internal resistance

If a comet were to orbit the sun with a highly eccentric orbit and an average (semimajor axis) distance of 1 au, we might use Kepler's third law of planetary motion to determine that each orbit would take one year to complete.

To find the answer, we need to know about the Kepler's third law of planetary motion.

                       [tex]a=1AU\\T=(1)^{3/2}=1 year[/tex]

Thus, we can conclude that, If a comet were to orbit the sun with a highly eccentric orbit and an average (semimajor axis) distance of 1 au, we might use Kepler's third law of planetary motion to determine that each orbit would take one year to complete.

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Answer:

Odd and even

Explanation:

Odd and even numbers have no common elements

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

Apply the Conservation of Linear Momentum:

[tex]\longrightarrow \sf{m_1 u_1 +1 + m_2 u_2 = m_1v_1 + m_2v_2}[/tex]

[tex]\longrightarrow \sf{(7 \cdot 4) + (1 \cdot 0) = (7 \cdot 3) + 1v_2}[/tex]

Solving further:

[tex]\longrightarrow \sf{28+0 = 21+ v_2}[/tex]

[tex]\longrightarrow \sf{28 = 21+ v_2}[/tex]

[tex]\longrightarrow \sf{v_2= 28- 21}[/tex]

▪ [tex]\longrightarrow \sf{v_2= 7 \dfrac{m}{s} }[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

[tex] \boxed{\bm{v_2= 7 \dfrac{m}{s}}}[/tex]

The time elapsed is 3229.2 days.

First-order reactions include those in radioactive decay. The reduction in radioactive nuclei per unit of time is the rate of decay, or activity, of a sample of a radioactive substance.

The Radioactive Formula is given by

                                [tex]N =[/tex] N₀ [tex](\frac{1}{2} )^\frac{t}{T}[/tex]

Where N₀ = The initial quantity of the substance.

           N = The quantity remained.

           T = the half-life of the decaying quantity.

           t = time elapsed

The initial quantity of the substance = 4.0 g

The quantity remained = 1.0 g

The half-life of the decaying quantity = 1620 years

Using formula;

                [tex]1.0 = 4.0 (\frac{1}{2} )^\frac{t}{1620} \\[/tex]

                [tex]log \frac{1.0}{4.0} = \frac{1}{1620} log \frac{1}{2}\\[/tex]

                [tex]log 0.25 = \frac{t}{1620} log 0.5\\[/tex]

                [tex]-0.60 = \frac{t}{1620} (-0.301)\\[/tex]

                  [tex]t = \frac{972}{0.301} \\[/tex]

                  [tex]t= 3229.2 sec[/tex]

Therefore, the time elapsed is 3229.2 days

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Half the potential difference of the the1-µF

A circuit must have a capacitance of 2 F across a 1 kV potential difference for an electrical technician. He has access to a sizable number of 1F capacitors, each of which can sustain a potential difference of no more than 400 V. Please suggest a configuration that uses the fewest capacitors possible.

The 2-mu F capacitor has the following characteristics: none of the aforementioned; half the charge of the 1-mu F capacitor; twice the charge of the 1-mu F capacitor; and half the potential difference of the 1-mu F capacitor.

Q = C V, C = Capacitance of the capacitor gives the charge stored by a capacitor with an applied voltage V. V is the applied voltage.

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Half the potential difference of the 1μf capacitor.

Charge: Q = CV where C is the capacitance in Farads, V is the voltage across the capacitor in Volts and Q is the charge measured in coulombs (C).

Energy stored: W = ½ QV = ½ CV×V

where W is the energy measured in Joules.

As the capacitance of a capacitor is equal to the ratio of the stored charge to the potential difference across its plates, giving: C = Q/V, thus V = Q/C as Q is constant across all series connected capacitors, therefore the individual voltage drops across each capacitor is determined by its its capacitance value.

When the capacitors are connected in the form of series combination, the capacitance in total is less than the individual capacitances of the series capacitors. If one, two or number of capacitors are connected in the series form, the overall effect is the single or equivalent capacitor which has the total sum of the spacings between the plates of the individual capacitors. The increase in the plate spacing results in the decreased capacitance, with all the other factors remaining unchanged.

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The angular momentum of the tire is 0.394KGm^2/s.

To find the answer, we have to know more about the angular momentum.

                             [tex]L=mvr[/tex]

where, m is mass of th body, v is the linear velocity and r is the radius of the circular orbit.

                 [tex]m=1.4kg\\r=33*10^{-2}m\\w=155rpm=2.58rps[/tex]

                   [tex]v=rw=33*10^{-2}*2.58=0.85m/s[/tex]

                  [tex]L=mvr=1.4*0.85*33*10^{-2}=0.394Kgm^2/s[/tex]

Thus, we can conclude that, the angular momentum of the tire is 0.394KGm^2/s.

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It does not deflect, the light's direction will not change

When a light ray is incident from a medium such as air onto a more dense medium such as glass or water, the refracted ray always lies closer to the perpendicular than does the incident ray.

Refraction occurs when light travels from one medium to another which changes the speed at which the light travels. This causes light to bend upon incidence with the interface of a new material.

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The correct option is (c) reduced performance due to stereotype threat.

What is a culture of learning?

A culture of learning, or learning culture, is one in which employees continuously seek, share, and apply new knowledge and skills to improve individual and organizational performance.

How does culture affect learning?

Why is culture important in learning?

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The maximum weight of a luminaire (lighting fixture) permitted to be hung directly from an outlet box in a ceiling 50 pound.

A luminaire that weighs more than 23 kg (50 lb) shall be supported independently of the outlet box, unless the outlet box is listed for not less than the weight to be supported.

Luminaire, or light fixture, complete lighting unit, consisting of one or more lamps (bulbs or tubes that emit light), along with the socket and other parts that hold the lamp in place and protect it, wiring that connects the lamp to a power source, and a reflector that helps direct and distribute the light.

Fluorescent fixtures usually have lenses or louvers to shield the lamp (thus reducing glare) and redirect the light emitted. Luminaires include both portable and ceiling- or wall-mounted fixtures.

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The distance from observer A of intensity of sound 59 db is 28.64 m and the distance from observer B of intensity of sound 83 db is 11.36m

Explanation:

Let's solve this problem in parts

let's start by finding the intensity of the sound in each observer

observer A β = 59 db

            β = [tex]10 log\frac{I_a}{I_o}[/tex]

where I₀ = [tex]1 \times 10^{-12}[/tex]  W / m²

             [tex]I_a = I_b \times 10 ^{ \frac{\beta}{10} }[/tex]

             [tex]I_a = 1\times 10 ^{-12} \times 10 ^{ \frac{59}{10} }[/tex]

             [tex]I_a[/tex] = [tex]2.51 \times 10 ^{-6}[/tex] W / m²

Similarly for Observer b [tex]I_b = 3.16 \times 10 ^ {-4}[/tex]

now we use that the emitted power that is constant is the intensity over the area of ​​the sphere where the sound is distributed

P = I A

therefore for the two observers

the area of ​​a sphere is

[tex]A= 4\pi \times r^2[/tex]

we substitute the above formula, we get

Let us call the distance from the observer A be to stereo speaker = x, so the distance from the observer B to the stereo speaker = 40- x; we substitute

            [tex]I_a (35 -x) ^2 = I_b x^2[/tex]

after solving the above equation we get  x = 28.64 m

This is the distance of observer A

similarly The distance from observer B is 35 - x

= 40 - 28.64

= 11.36m

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The acceleration of the car is 3.56 m/s².

Rate of change of velocity with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Some characteristics of acceleration are-

The formula for acceleration is;

[tex]\bar{a}=\frac{v-v_{0}}{t}=\frac{\Delta v}{\Delta t}[/tex]

[tex]\begin{aligned}&\bar{a}=\text { average acceleration } \\&v=\text { final velocity } \\&v_{0}=\text { starting velocity } \\&t=\text { elapsed time }\end{aligned}[/tex]

The starting velocity is 3.50 m/s

The final velocity is 14.8 m/s.

The elapsed time is 3.17 s.

Substitute all the values in the formula of acceleration;

[tex]\bar{a}=\frac{14.8-3.50}{3.17}\\\bar{a}=3.56[/tex]

Therefore, the acceleration of the car is 3.56 m/s².

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The largest number of beats per second that will be heard from 763 and 774 Hz  pair of tuning fork .

The beat frequency is equal to the complete value of the alteration in the frequency of the two waves. The count of beats per second is equivalent to the difference in frequencies of two waves is called beat frequency.

A tuning fork is a two-pronged metal fork that can be used as an acoustic resonator. Traditionally, this tool has been used to tune musical instruments. Tuning forks work by releasing a perfect wave pattern to match a musician's instrument.

The largest number of beats per second that will be heard from 763 and 774 Hz  pair of tuning fork .

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The time period of the spring - mass system undergoing simple harmonic motion is 5.024 seconds.

We have a mass weighing 16 pounds which is attached to a spring whose spring constant is 25 lb/ft . This complete spring - mass system is undergoing simple harmonic motion.

We have to calculate the time period of this simple harmonic motion.

The formula to calculate the time period of a spring - mass system undergoing simple harmonic motion is -

[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex]

Where -

T is the time period of spring - mass simple harmonic motion.

m is the mass of body

k is the spring constant

In the question given -

mass (m) = 16 pounds

Spring constant (k) = 25 lb/ft

Substituting the values in the formula above -

T =  [tex]2\pi \sqrt{\frac{16}{25} }[/tex]  = [tex]\frac{2\pi \times4}{5}[/tex]  = 5.024 seconds

Hence, the time period of the spring - mass system undergoing simple harmonic motion is 5.024 seconds.

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Answer:

5 N

Explanation:

Archimedes' principle indicates that the upward buoyant force that is exerted on a body immersed in a fluid, whether fully or partially submerged, is equal to the weight of the fluid that the body displaces.

In this case, The weight of an object in air is 20N and it weighs x N when fully immersed in water. So, the weight of the water displaced is given as;

20 − x = 5

Therefore, the weight of the body in water is 5 N.

The answer is B.

We use the spring constant in Hooke's Law, which is : F = -kx

It can be rearranged so it is equal to the constant :

k = F ÷ x

Common units of Force (F) : N, kg m/s²

Common units of displacement (x) : cm, m, km

The dimensionally correct unit from the given options is :

⇒ N/km

Building a telescope that detects radio waves must be built with a very large dish since radio waves have very large wavelengths is regarded as a true statement and is denoted as option A.

This is defined as the distance between two successive crests or troughs of a wave.

Radio waves have the longest wavelength in the electromagnetic spectrum which is therefore the reason why a very large dish is built to detect it.

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The reason the position of a particle cannot be specified with infinite precision is the uncertainty principle .

The position of a particle moving in a straight line is a vector which represents a point P on the line in relation to the origin O. The position of a particle is often thought of as a function of time, and we write x(t) for the position of the particle at time t.

The Heisenberg uncertainty principle is a law in quantum mechanics that limits how accurately you can measure two related variables. Specifically, it says that the more accurately you measure the momentum (or velocity) of a particle, the less accurately you can know its position, and vice versa.

The uncertainty principle (for position and momentum) states that one cannot assign exact simultaneous values to the position and momentum of a physical system. Rather, these quantities can only be determined with some characteristic “uncertainties” that cannot become arbitrarily small simultaneously

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The average value have of the function h on the given interval is  [tex]\frac{1}{2} \ln^2 (2)[/tex].

The given function is [tex]h (u) = \frac{\ln (u)}{u}[/tex] on the interval (1, 5).

The average value of function (a, b) is found by using the formula:

[tex]\frac{1}{(b -a)} \displaystyle \int^{b}_{a} f(x) dx[/tex]

Here the function is  [tex]h (u) = \frac{\ln (u)}{u}[/tex] and a = 1, b = 5

Now,

[tex]\dfrac{1}{(5 - 1)} \displaystyle \int^{5}_{1} \frac{\ln (u)}{u}\ du[/tex]

[tex]= \dfrac{1}{4} \displaystyle \int^{5}_{1} \frac{\ln (u)}{u}\ du[/tex]

Substitute [tex]\ln (u) = t, dt = \frac{1}{u}\ du[/tex]

[tex]\dfrac{1}{4} \displaystyle \int^{4}_{1} \frac{\ln (u)}{u} du = \frac{1}{4} \int^{4}_{1} t (dt)[/tex]

                      [tex]= \frac{1}{4} \left [\frac{t^2}{2} \right ]^{4}_{1}[/tex]

                      [tex]= \frac{1}{8} \left [\{\ln (u)\}^2 \right ]^{4}_{1}[/tex]

                      [tex]= \frac{1}{8} [\{\ln (4) \}^2 - \{\ln (1) \}^2 ][/tex]

                      [tex]= \frac{1}{8} [\{\ln (4)\}^2 - 0][/tex]

                      [tex]= \frac{1}{8} \ln^2 (4)[/tex]

                      [tex]= \frac{2}{4} [2 \ln (2)]^2[/tex]

                      [tex]= \frac{1}{2} \ln^2 (2)[/tex]

Thus from the above conclusion we can say that The average value have of the function h on the given interval is  [tex]\frac{1}{2} \ln^2 (2)[/tex].

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Answer:

9 kW-hr

Explanation:

3000 W  = 3 kW          for 1 hr =    3 kW - hr

2000 W  = 2 kW          for 3 hr =   6 kW -hr

total power =   3 + 6 = 9 kW-hr