10. Four friends Sahil, Sonu, Ramesh and Rohan were playing Ludo game. They have chosen different colours of coins. Sahil has chosen green colour, Ramesh has chosen red colour, rohan has chosen yellow colour and Sonu has chosen blue colour. On the above information as the following questions. (i) What is the probability of getting a red coin? (ii) What is the probability of getting yellow and blue-colored coins? (iii) What is the probability of getting black colour coin? (iv) Due to some urgent work Sahil and Sonu left the game and took their coins. Now what will be the probability of getting a yellow colour coin?

Answer:

(a) 7.95 radian, (b) 0.453.

Explanation:

y = Distance from central bright fringe = 2.5 mm

λ = Wavelength = 600 nm

L = Distance between screen and source = 2.8 m

d = Slit distance = 0.85 mm

tanθ=y/L

⇒tanθ=2.5/2800=0.000892

⇒θ=tan

−1

0.000892=0.05115

∘

Δr=dsinθ=7.589×10

−7

a) Phase difference

ϕ=

λ

2π

Δr

⇒ϕ=

6×10

−9

2π

×7.589×10

−7

=7.947 rad

∴ Phase difference between the two interfering waves on a screen at a point 2.50 mm from the central bright fringe is 7.947 radians

b)

I

max

I

=cos

2

2

ϕ

⇒

I

max

I

=cos

2

2

7.947

⇒

I

max

I

=0.4535

∴ Ratio of the intensity at this point to the intensity at the center of a bright fringe 0.4535

Explanation:

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Answer:

(a) Phase difference between the two interfering waves on a screen at a point 2.50mm from the central bright fringe is 7.947 radian

(b) Ratio of the intensity at the two interfering waves on a screen at a point 2.50mm to the intensity at the center of a bright fringe is 0.4535

Explanation:

y= Distance from central bright fringe =2.5mm

λ= Wavelength =600nm

L= Distance between screen and source =2.8m=[tex]2.8X10^{3}[/tex]mm

d= Slit distance =0.85mm

tan⁡θ=[tex]\frac{Y}{L}[/tex]

tan⁡θ=[tex]\frac{2.5}{2800}[/tex]=0.000892

θ=[tex]tan^{-1} (0.000892)[/tex]=0.05115°

Δr=dsin⁡θ=7.589 × [tex]10^{-7}[/tex]

a) Phase difference

ϕ=2π/λ Δr

ϕ= [tex]\frac{2\pi }{6*10^{-9} *7.589*10^{-7} } =7.947 radian[/tex]

Phase difference between the two interfering waves on a screen at a point 2.50mm from the central bright fringe is 7.947 radians

b) [tex]\frac{I}{I_{Max} } = Cos^{2}[/tex]Ф/2

[tex]\frac{I}{I_{Max} }[/tex][tex]=Cos^{2} (\frac{27.947}{2})[/tex]

[tex]\frac{I}{I_{Max} } = 0.4535[/tex]

∴ Ratio of the intensity at this point to the intensity at the center of a bright fringe 0.4535

Explanation:

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Given:

Radius of circular loop 1 = 6.28cm

Radius of circular loop 2 = 3.14cm

The current passing through each of them = 2A

Value of μ[tex]_{o}[/tex] = 4π × [tex]10^{-7}[/tex] Wb/ A.m

To Find:

The value of the magnetic field at their common center.

Solution:

The value of the magnetic field due to the circular coil,

B = μ[tex]_{o}[/tex] × [tex]\frac{i}{2r}[/tex]

The value of the magnetic field of loop 1 (B[tex]_{1}[/tex]) = μ[tex]_{o}[/tex]×[tex]\frac{2}{2*6.28}[/tex] = 2×[tex]10^{-7}[/tex] Wb/m²

Similarly, The value of B[tex]_{2}[/tex] = 4×[tex]10^{-7}[/tex] Wb/m²

Both the magnetic fields are right angles to each other.

So, the net magnetic field (B) = √(B1²+ B2²) = 2√5 × [tex]10^{-7}[/tex] Wb/m²

Hence. the magnitude of the net magnetic field at their common center is 2√5×[tex]10^{-7}[/tex] Wb/m².

Answer:

“The World Is Too Much With Us” Summary

The material world—that of the city, our jobs, our innumerable financial obligations—controls our lives to an unhealthy degree. We are always rushing from one thing to the next; we earn money one day just to spend it the next. The result of this is that we have destroyed a vital part of our humanity: we have lost the ability to connect with and find tranquility in nature. In exchange for material gain, we have given away our emotions and liveliness. This ocean that reflects the moonlight on its surface, and the peaceful, momentarily windless night, which is like flowers whose petals are folded up in the cold—these natural features still exist, but we just can’t appreciate them. Our lives have nothing to do with the rhythms of the natural world. As a result, those rhythms have no emotional impact on us.

My God, I wish that I were raised in a culture that worshipped many gods, though that religion is now outdated. That way, standing on this pleasant patch of grass, I might be calmed and heartened by the image of the ocean before me. I might see the Greek god Proteus taking shape before my very eyes, or hear another Greek god, Triton, blow his legendary, spiral-grooved conch shell.

Explanation:

hope It helped you

Answer:

Taking time to study a poem before writing a poem summary is essential. Researching the background of the poem, like who wrote it and when, will give you vital clues in understanding the poem. Reading the poem at least three times is a good idea. Mark down all your thoughts either on the poem or on paper. For the summary, write paragraphs that show a unit of thought or argument. Including an introduction and conclusion is necessary.

Know the name of the poet and the year in which the poem was written. Explore the implications that these elements have for the poem and include this information in your introduction.

Classify the poem. Consider whether it is an epic, narrative, dramatic or descriptive poem. Epic poetry tends to be lengthy and contains vast universal themes, while a descriptive poem will describe a scene. Narrative poetry is written from the narrative viewpoint of a character.

Continue bringing out the major themes or motifs of the poem and relate this to the type of language used, like identifying alliteration or onomatopoeia. Alliteration is when two syllables of similar sound are used together to create effect and onomatopoeia is when the sound of a word reflects something else.

Determine whether repetition is used to stress something the reader needs to hear or perhaps to create drama. Determine whether literary allusions were used.

Identify imagery in the poem, such as the use of metaphors or similes to describe something in a unique way. Write down what effect this could have on readers.

Write about the overall tone of the poem and the narrative perspective. Decide if the poem is funny or serious. Question if it is written from the perspective of a character in the poem or from the poet's viewpoint. Ask if the poet talking directly to the reader or to somebody else.

Explanation:

at a in a low frequency =low pitch =grave sound or low sound

at b. in b high frequency =high pitch =shrill sound or loud sound

so in b frequency is higher

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Answer:

The graph B is correct.

Explanation:

• We can define frequency (f) as: the number of cycles of a wave per unit time.
• The SI unit of frequency is Hertz.
• Frequency is directly proportional to pitch and inversely proportional to wavelength.
• As the wavelength of a wave increases, the frequency decreases.
• Graph A: The wave takes a longer time to complete one cycle, and it has a longer wavelength; hence, its frequency is lower.
• Graph B: The wave takes lesser time to complete one cycle, and it has a shorter wavelength; hence, its frequency is higher.

Conclusion:

Graph B shows a higher frequency.