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A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-
- a)7
- b)5
- c)3
- d)1
Correct answer is option 'D'. Can you explain this answer?
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A Narrow beam of light of wavelength 589.3nm from a sodium lamp is inc...
Grating constant 106 per metre 
Highest order
Highest order
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A Narrow beam of light of wavelength 589.3nm from a sodium lamp is inc...
Given:
Wavelength of light, λ = 589.3 nm
Grating constant, d = 1/1000000 m^(-1)
To find:
Number of principal maxima observed in the transmitted light
Solution:
The number of principal maxima (bright fringes) observed in the transmitted light can be determined using the formula for the positions of principal maxima in a diffraction grating:
sinθ = mλ/d
Where:
θ is the angle between the incident beam and the normal to the grating surface,
m is the order of the principal maximum,
λ is the wavelength of light, and
d is the grating constant.
Step 1:
Since the incident light is normal to the grating, the angle θ is 0°. Therefore, sinθ = sin(0°) = 0.
Step 2:
Substituting the given values into the formula, we have:
0 = m(589.3 nm) / (1/1000000 m^(-1))
Step 3:
Simplifying the equation, we get:
0 = m(589.3 nm) * (1000000 m^(-1))
Step 4:
Simplifying further, we have:
0 = m(589.3 nm * 10^(-6) m)
Step 5:
Since the wavelength of light is non-zero, the only way for the equation to be satisfied is if m = 0. Therefore, there is only one principal maximum observed in the transmitted light.
Answer:
The correct answer is option 'D' - 1.
Wavelength of light, λ = 589.3 nm
Grating constant, d = 1/1000000 m^(-1)
To find:
Number of principal maxima observed in the transmitted light
Solution:
The number of principal maxima (bright fringes) observed in the transmitted light can be determined using the formula for the positions of principal maxima in a diffraction grating:
sinθ = mλ/d
Where:
θ is the angle between the incident beam and the normal to the grating surface,
m is the order of the principal maximum,
λ is the wavelength of light, and
d is the grating constant.
Step 1:
Since the incident light is normal to the grating, the angle θ is 0°. Therefore, sinθ = sin(0°) = 0.
Step 2:
Substituting the given values into the formula, we have:
0 = m(589.3 nm) / (1/1000000 m^(-1))
Step 3:
Simplifying the equation, we get:
0 = m(589.3 nm) * (1000000 m^(-1))
Step 4:
Simplifying further, we have:
0 = m(589.3 nm * 10^(-6) m)
Step 5:
Since the wavelength of light is non-zero, the only way for the equation to be satisfied is if m = 0. Therefore, there is only one principal maximum observed in the transmitted light.
Answer:
The correct answer is option 'D' - 1.
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A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer?
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A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer?.
A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer?.
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A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A Narrow beam of light of wavelength 589.3nm from a sodium lamp is incident normally on a diffraction grating of transmission type. If the grating constant is 1000000m-1, the number of principle maxima observed in the transmitted light will be:-a)7b)5c)3d)1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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