What substance is used by plants as a source of food

A thin film of MgF₂ (n = 1.38) coats a piece of glass. Constructive interference is observed for the reflection of light with wa

TEA [102]

Answer:

t = 905.8 nm

Explanation:

Given:

- Wavelength λ_1 = 500 nm

- Wavelength λ_2 = 625 nm

- MgF₂ refractive index n = 1.38

Find:

What is the thinnest film for which this can occur?

Solution:

- We have two different wavelength of light that constructively interfere at the surface of the film. We need the minimum thickness of film that would satisfy the condition of constructive interference for both!

-Since the refractive index of glass is greater than that of MgF_2, the expression of constructive interference would be as follows:

2*t = m*λ / n

- Since, the orders m are unknown for each wavelength, also different. We will try to determine the first for each wavelength of light.

- Construct two equation:

t = m_1*(500 nm ) / (2*1.38 )

t = 181.1594203*m_1 nm

t = m_2*(625 nm ) / (2*1.38 )

t = 226.4492754*m_2 nm

- Now equate the two thicknesses which should be equal:

226.4492754*m_2 = 181.1594203*m_1

m_2 = 0.8*m_1

- Now we know that m can only take integer values, and m is proportional to thickness t. So for thinnest thickness m's must take the least integer values. Hence, we have:

m_2 = (4 / 5) * m_1

So, m_1 = 5 , m_2 = 4 ..... Least integer values.

- Now that we have m's we can compute the thickness t as follows:

t = 181.1594203*m_1 nm

- Substitute m_1 = 5, we have:

t = 181.1594203*5 nm

t = 905.8 nm

- Substitute m_2 = 4 in:

t = 226.4492754*m_2

t = 226.4492754*4

t = 905.8 nm

- Our values of t = 905.8 nm matches for both wavelengths.

7 0

4 years ago

Solvation in water is called

Leona [35]

Answer:

Image result for Solvation in water is called

Solvation describes the interaction of solvent with dissolved molecules. ... Solvation involves bond formation, hydrogen bonding, and van der Waals forces. Solvation of a solute by water is called hydration.

Explanation:

6 0

3 years ago

Read 2 more answers

Which energy transformation occurs in the core of a nuclear reactor?

romanna [79]

The correct answer among the choices given is option B. The energy transformation that occurs in the core of a nuclear reactor is from nuclear energy to thermal energy. In a power plant nuclear fission which involves nuclear energy to heat up water around it. This part is the core of the process.

5 0

3 years ago

If you do 40 j of work in 4s, how much power did you generate?

brilliants [131]

Explanation:

GIVEN :

Work done(W) = 40 J

Time(t) = 4 s

Power (P) = ?

We know that:

W = P×t

Therefore,

P= W/t

=40/4

= 10 W

Hope it helps

4 0

2 years ago

The Sears Tower is nearly 400 m high. How long would it take a steel ball to reach the ground if dropped on the top? What will b

Damm [24]

1. 9.04 s

We can find the time taken for the steel ball to reach the ground by using the SUVAT equation:

$d = ut + \frac{1}{2}gt^2$

where

d = 400 m is the distance

u = 0 is the initial velocity of the ball

g = 9.8 m/s^2 is the acceleration of gravity

t is the time

Solving the formula for t, we find the time taken for the ball to reach the ground:

$t=\sqrt{\frac{2d}{g}}=\sqrt{\frac{2(400)}{9.8}}=9.04 s$

2. 88.6 m/s

The final velocity of the ball before it reaches the ground can be found by using the equation

v = u + gt

where

u is the initial velocity

g is the acceleration of gravity

t is the time

Here we have

u = 0

g = 9.8 m/s^2

Substituting the time of flight, t = 9.04 s, we find the final velocity:

$v=0+(9.8)(9.04)=88.6 m/s$

4 0

3 years ago