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My name is Ann [436]
2 years ago
8

Light containing two different wavelengths passes through a diffraction grating with 1,250 slits/cm. On a screen 17.5 cm from th

e grating, the third-order maximum of the shorter wavelength falls midway between the central maximum and the first side maximum for the longer wavelength. If the neighboring maxima of the longer wavelength are 8.44 mm apart on the screen, what are the wavelengths in the light
Physics
1 answer:
ki77a [65]2 years ago
5 0

Answer:

\lambda_s =6.43*10^-4m

Explanation:

From the question we are told that:

Diffraction grating N=1250slits/cm

Distance b/w Screen and grating length d_{sg}=17.5 cm

Distance b/w neighboring maxima and Screen d_{ms}=8.44

 

Generally the equation for grating space is mathematically given by

d(g)=\frac{1}{N}

d(g)=\frac{100}{1250}

d(g)=0.08

Generally the equation for small angle approximation is mathematically given by

\triangle y=\frac{\lambda d}{L}

Therefore for longest wavelength

\lambda _l=\frac{8.44*10^{-3}*(0.08)}{0.175m}

\lambda _l=3.858*10^{-3}

Therefore the third order maximum equation for the shorter wavelength as

\lambda_s =\frac{1}{6} \lambda_l

\lambda_s =\frac{1}{6} (3.858*10^-^3)

\lambda_s =6.43*10^-4m

The wavelengths in the light is given as

\lambda_s =6.43*10^-4m

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scoray [572]

Answer:

2.29g/cm3.

Explanation:

The following data were obtained from the question.

Mass of the oil = 172g

Volume of oil = 75cm3

Density =..?

Density of a substance is simply defined as the mass of the substance per unit volume of the substance. It is represented mathematically as:

Density = Mass /volume

With the above formula, we can calculate the density of the oil as shown below:

Density = Mass /volume

Density = 172g/75cm3

Density = 2.29g/cm3.

Therefore, the density of the oil is 2.29g/cm3.

5 0
3 years ago
The pressure inside a sealed container of methane gas (CH4) is 35.0 kPa. If this 80.0 L sample
STatiana [176]

Answer:

<h3>The answer is 30.43 L</h3>

Explanation:

The new volume can be found by using the formula for Boyle's law which is

P_1V_1 = P_2V_2

Since we are finding the new volume

V_2 =  \frac{P_1V_1}{P_2}  \\

From the question we have

V_2 =  \frac{35000 \times 80}{92000}  =  \frac{2800000}{92000}  =   \frac{700}{23}  \\  = 30.434782...

We have the final answer as

<h3>30.43 L</h3>

Hope this helps you

4 0
3 years ago
Sam is pulling a box up to the second story of his apartment via a string. The box weighs 53.3 kg and starts from rest on the gr
castortr0y [4]

Answer:

W = 1222.4 J = 1.22 KJ

Explanation:

The work done on an object is the product of the force applied on it and the displacement it covers as a result of this force. It must be noted that the component of displacement in the direction of force should only be used. Hence, the work can be calculated as:

W = F d Cosθ

where,

W = Work Done = ?

F = Force Applied = 64 N

d = Distance Covered by Box = 19.1 m

θ = Angle between force and displacement = 0°

Therefore,

W = (64 N)(19.1 m)Cos 0°

<u>W = 1222.4 J = 1.22 KJ</u>

7 0
2 years ago
Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal
kirza4 [7]

At t =0, the velocity of A is greater than the velocity of B.

We are told in the question that the spacecrafts fly parallel to each other and that for the both  spacecrafts, the velocities are described as follows;

A: vA (t) = ť^2 – 5t + 20

B: vB (t) = t^2+ 3t + 10

Given that t = 0 in both cases;

vA (0) = 0^2 – 5(0) + 20

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For vB

vB (0) = 0^2+ 3(0) + 10

vB = 10 m/s

We can see that at t =0, the velocity of A is greater than the velocity of B.

Learn more: brainly.com/question/24857760

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