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2 years ago

6

The number of protons is called the atomic ____ and its the fundamental organizing principle of every table of the elements

2 answers:

Sunny_sXe [5.5K]2 years ago

7 0

Answer:

The number of protons is called the atomic ____ and its the fundamental organizing principle of every table of the elements?

Atomic Number

xXxAnimexXx

Licemer1 [7]2 years ago

6 0

hi <3

it would be the atomic 'number'

hope this helps :)

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Consider the interference/diffraction pattern from a double-slit arrangement of slit separation d = 6.60 um and slit width a. Th

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Answer:

(a) λ = 0.496 um (b) S =2π Δ d sinθ/ λ (c) I =gI₀ (d) For the central diffraction peak, a total of 5 interference maxima are present or available.

Note: find an attached copy of a part of the solution to the given question below.

Explanation:

Solution

Recall that:

d = 6.6 um

λ₀ =d/10

λ₀ = 6.6 um

Now,

(a) We find the wavelength λ of the light in water.

Thus,

λ water = (λ₀ )/n

= 0.66/1.33

So,

λ water = λ = 0.496 um

(b) We find the phase difference between the waves from slit 1 and 2

Now,

if a <<d and a<<λ

Then the path difference between the rays will be

Δ S₂N = Δ d sinθ

Thus, the phase difference becomes,

S = 2π Δ/λ is S= 2π Δ d sinθ/ λ

<u>(</u>c) The next step is to derive an expression for the intensity I as function of O and other relevant parameters.

Now,

Let p be the point where these two rays interfere with each other.

Thus,

The electric field vector coming out from slot and and slot 2 is

E₁= E₀₁ cos (ks₁ p - wt) i

E₂ = E₀₂ cos (ks₂ p - wt) i

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A mass of 1.5 kg is attached to a spring and placed on a horizontal surface. The spring has a spring constant of 120 N/m, and th

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3 years ago

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A spring attached to the ceiling is stretched one foot by a four pound weight. The mass is set in motion by pulling down 2 feet

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Given that,

Weight = 4 pound

$W=4\ lb$

Stretch = 2 feet

Let the force be F.

The elongation of the spring after the mass attached is

$x=2-1=1\ feet$

(a). We need to calculate the value of spring constant

Using Hooke's law

$F=kx$

$k=\dfrac{F}{x}$

Where, F = force

k = spring constant

x = elongation

Put the value into the formula

$k=\dfrac{4}{1}$

$k=4$

(b). We need to calculate the mass

Using the formula

$F=mg$

$m=\dfrac{F}{g}$

Where, F = force

g = acceleration due to gravity

Put the value into the formula

$m=\dfrac{4}{32}$

$m=\dfrac{1}{8}\ lb$

We need to calculate the natural frequency

Using formula of natural frequency

$\omega=\sqrt{\dfrac{k}{m}}$

Where, k = spring constant

m = mass

Put the value into the formula

$\omega=\sqrt{\dfrac{4}{\dfrac{1}{8}}}$

$\omega=\sqrt{32}$

$\omega=4\sqrt{2}$

(c). We need to write the differential equation

Using differential equation

$m\dfrac{d^2x}{dt^2}+kx=0$

Put the value in the equation

$\dfrac{1}{8}\dfrac{d^2x}{dt^2}+4x=0$

$\dfrac{d^2x}{dt^2}+32x=0$

(d). We need to find the solution for the position

Using auxiliary equation

$m^2+32=0$

$m=\pm i\sqrt{32}$

We know that,

The general equation is

$x(t)=A\cos(\sqrt{32t})+B\sin(\sqrt{32t})$

Using initial conditions

(I). $x(0)=2$

Then, $x(0)=A\cos(\sqrt{32\times0})+B\sin(\sqrt{32\times0})$

Put the value in equation

$2=A+0$

$A=2$ .....(I)

Now, on differentiating of general equation

$x'(t)=-\sqrt{32}A\sin(\sqrt{32t})+\sqrt{32}B\cos(\sqrt{32t})$

Using condition

(II). $x'(0)=0$

Then, $x'(0)=-\sqrt{32}A\sin(\sqrt{32\times0})+\sqrt{32}B\cos(\sqrt{32\times0})$

Put the value in the equation

$0=0+\sqrt{32}B$

So, B = 0

Now, put the value in general equation from equation (I) and (II)

So, The general solution is

$x(t)=2\cos\sqrt{32t}$

(e). We need to calculate the time

Using formula of time

$T=\dfrac{2\pi}{\omega}$

Put the value into the formula

$T=\dfrac{2\pi}{4\sqrt{2}}$

$T=1.11\ sec$

Hence, (a). The value of spring constant is 4.

(b). The natural frequency is 4√2.

(c). The differential equation is $\dfrac{d^2x}{dt^2}+32x=0$

(d). The solution for the position is $x(t)=2\cos\sqrt{32t}$

(e). The time period is 1.11 sec.

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Which of the following statements is true? A. Whenever an object moves, work is being done. B. A larger force always means more

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The Correct answer would be D. Work equals force times distance.

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3 years ago

Why is using fossil fuels considered unsustainable?

ikadub [295]

Answer:

Fossil fuels take millions of years to replenish

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2 years ago

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