G Draw a diffraction pattern observed on a screen for the 1st order spectra for blue, green, orange and red lines from a given light source. This sketch should indicate the location of the 1st bright spot corresponding to blue, green, orange and red wavelengths.

 θ₁ (blue) < θ₂  (green) < θ₃  (red)

Explanation:

A diffraction grating is a collection of equally spaced slits, thus fulfilling the relationship

       d sin θ = m λ

where d is the distance between each pair of slits, λ  the wavelength and m the order of diffraction

In this case, the first order is requested, so m = 1

let's find the angle for each wavelength

Blue, the wavelength is in the range of 450nm = 450 10⁻⁹m

          θ₁ = sin-1 λ  / d

          θ₁ = sin-1 450 10⁻⁹ / d

Green, λ  the order of 550 mn = 550 10-9 m

         θ₂ = sin⁻¹ 550  10⁻⁹ / d

orange- red, wavelength 700 nm = 700 10⁻⁹ m

         θ₃ = sin⁻¹ 700 10⁻⁹ / d

Note that d is the same since we are using the same diffraction grating, since the angles are small we can approximate the sine by its angle, therefore

          θ₁ < θ₂ < θ₃

an outline of this spectrum can be seen in the attachment

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conduction, convection, radiation