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leva [86]
3 years ago
7

Please help I’m begging I have to get this in by tonight

Physics
1 answer:
kiruha [24]3 years ago
3 0

Answer:

Divide Whole Numbers by Fraction Worksheet

To divide fractions, you need to invert the divisor and multiply. To invert a fraction, reverse the numerator and denominator. The special name given to an inverted fraction is reciprocal. Recall that a whole number has a understood denominator of 1.

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Calculate the first and second order angles for light of wavelength 400. nm and 700. nm of the grating contains 1.00 x 104 lines
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Answer:

23.58^{\circ} and 53.13^{\circ}

44.43^{\circ}, second order does not exist

Explanation:

n = Number of lines grating = 1\times10^4\ \text{Lines/cm}

\lambda = Wavelength

m = Order

Distance between slits is given by

d=\dfrac{1}{n}\\\Rightarrow d=\dfrac{1}{1\times 10^4}\\\Rightarrow d=10^{-6}\ \text{m}

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We have the relation

d\sin\theta=m\lambda\\\Rightarrow \theta=\sin^{-1}\dfrac{m\lambda}{d}\\\Rightarrow \theta=\sin^{-1}\dfrac{1\times 400\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=23.58^{\circ}

m = 2

\theta=\sin^{-1}\dfrac{2\times 400\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=53.13^{\circ}

The first and second order angles for light of wavelength 400 nm are 23.58^{\circ} and 53.13^{\circ}.

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m = 1

\theta=\sin^{-1}\dfrac{1\times 700\times 10^{-9}}{10^{-6}}\\\Rightarrow \theta=44.43^{\circ}

m = 2

\theta=\sin^{-1}\dfrac{2\times 700\times 10^{-9}}{10^{-6}}

Here \dfrac{2\times 700\times 10^{-9}}{10^{-6}}=1.4>1 so there is no second order angle for this case.

The first order angle for light of wavelength 700 nm are 44.43^{\circ}.

Second order angle does not exist.

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