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14 September, 12:32

In hydrogen, the transition from level 2 to level 1 has a rest wavelength of 121.6 nm.

1). Find the speed for a star in which this line appears at wavelength 120.4 nm.

2). Find the direction for a star in which this line appears at wavelength 120.4 nm.

3). Find the speed for a star in which this line appears at wavelength 121.4 nm.

4). Find the direction for a star in which this line appears at wavelength 121.4 nm

5). Find the speed for a star in which this line appears at wavelength 122.2 nm.

6. Find the direction for a star in which this line appears at wavelength 122.2 nm

7). Find the speed for a star in which this line appears at wavelength 122.9 nm.

8). Find the direction for a star in which this line appears at wavelength 122.9 nm.

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  1. 14 September, 12:49
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    according to the Bohr'smodel,

    The change in wavelength, Δλ = λ₁ - λ₂ = λ₂ν/c

    where λ are the respective wavelengths

    ν = speed of the stars/objects = ?

    c = speed of light = 3 x 10⁸m/s

    1. To find the speed for a star in which this line appears at wavelength 120.4 nm.

    i. e λ₁ = 120.4nm and λ₂ = 121.6nm

    ν = [ (120.4nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = - 2.71x10⁶m/s

    2. To find the speed for a star in which this line appears at wavelength 120.4 nm.

    i. e λ₁ = 120.4nm and λ₂ = 121.6nm

    ν = [ (120.4nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = - 2.71x10⁶m/s

    3. To find the speed for a star in which this line appears at wavelength 121.4 nm.

    i. e λ₁ = 121.4nm and λ₂ = 121.6nm

    ν = [ (121.4nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = - 4.94x10⁵m/s

    4. To find the speed for a star in which this line appears at wavelength 121.4 nm.

    i. e λ₁ = 121.4nm and λ₂ = 121.6nm

    ν = [ (121.4nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = - 4.94x10⁵m/s

    5. To find the speed for a star in which this line appears at wavelength 122.2 nm.

    i. e λ₁ = 122.2nm and λ₂ = 121.6nm

    ν = [ (122.2nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = 9.872x10⁵m/s

    6. To find the speed for a star in which this line appears at wavelength 122.2 nm.

    i. e λ₁ = 122.2nm and λ₂ = 121.6nm

    ν = [ (122.2nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = 9.872x10⁵m/s

    7. To find the speed for a star in which this line appears at wavelength 122.9 nm.

    i. e λ₁ = 122.9nm and λ₂ = 121.6nm

    ν = [ (122.9nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = 2.08x10⁵m/s

    8. To find the speed for a star in which this line appears at wavelength 122.9 nm.

    i. e λ₁ = 122.9nm and λ₂ = 121.6nm

    ν = [ (122.9nm - 121.6nm) / 121.6nm] x 3 x 10⁸m/s

    ν = 2.08x10⁵m/s
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