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4 years ago

9

Light from an argon laser strikes a diffraction grating that has 7,735 grooves per centimeter. The central and first-order princ

ipal maxima are separated by 0.488 m on a wall 1.73 m from the grating. Determine the wavelength of the laser light.

1 answer:

Leto [7]4 years ago

4 0

Answer:

wavelength of the laser light is 351nm

Explanation:

The split seperation is

d = 0.01 / 7735

= 1293nm

The angle of the first order maxima

θ = tan⁻¹ (0.488/1.73)

= 15.75°

we have,

$sin \theta = \frac{m \lambda}{d} \\\lambda = \frac{d sin \theta}{m} \\\lambda = \frac{1293 \times sin15.75}{1} \\= 350.97nm$

≅ 351nm

wavelength of the laser light is 351nm

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<u>Answer</u>:

The greatest possible acceleration of the car is $a_G= 6.78 m/s^2$

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$N_A+N_B = 9564.75$ -------------(1)

$-N_A(1.82) + N_B(2.20 -1.82) -0.9N_B(0.55)-0.8N_A(0.55)=0$

$-N_A(1.82) +0.38 N_B -0.44N_B -0.44N_A=0$

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Solving the equation (1) and(2)

$N_A + N_B = 9564.75$

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$N_B - M_g = 0$

$N_B(b-a) –F_Bh = 0$

$F_B = 975a_G$

$N_B-975(9.8) = 0$

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$6608.3 = 975a_G$

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$a_G_2 = 6.78m/s^2$

Choosing the critical case

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