Question

Svad * You received no credit for this question in the previous attempt. Help 19 3 attempts left Check my work 8 00:59:53 Consider a particle in a one-dimensional box with a length of 0.350 nm. Calculate the wavelength of light required to move the particle from the 2 to the n-3 energy levels in the box. Assume that the mass of the particle is equal to the mass of an electron. Report pro eBook Print Hint nm

Answer 1

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We know that, Wavelength For a particle in one dimensional box is given by:

X= 8meldc (2n + 1)

We have,

Mass of electron,

me = 9.11 x 10-31 kg

Length of the box,

1 = 0.350 nm = 3.5 x 10-10 m

Speed of light,

C = 3 x 108 m/s

Planck's constant,  

h = 6.626 x 10-34 J.s

n = 2

Therefore, Wavelength of the light required is given by:

Smelc (2n + 1h 8 x 9.11 x 10-31 kg x (3.5 x 10-10 m2 x 3 x 108 m/s (2.2 + 1) X 6.626 x 10-34 J.s

id= 2.67834 x 10-40 3.313 x 10-33 m

= 8.08433 x 10-8 m

We have, 1 m = 10⁹ nm

:: X = 8.08433 x 10-8 x 10 nm

id= 80.8433 nm

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