Q57P - University Physics with Modern Physics

Question

What is the longest wavelength that can be observed in the third order for a transmission grating having ? Assume normal incidence.

Step-by-Step Solution

Answer

The longest wavelength observed in the third order for a transmission gating lies in the visible spectrum, specifically near violet 363 nm

Step 1: About wavelength of light

Wavelength of the Visible Light ranges between 400 nm to 700 nm and here we come to know the wavelength of various colours of the visible spectrum of light.

Step 2: Determine the longest wavelength

IDENTIFY and SET UP:

Our target variable is the longest wavelength corresponding to the third order for a transmission grating- The distance

between slits is From Eq- (36.15), we have, With 

Solving this equation for A gives Hence, the longest wavelength is given by , which

 

corresponds to a transmission angle of 90° (in the third order maximum)-

EXECUTE:

The longest wavelength in the third order maximum is

 

Therefore 

The longest wavelength observed in the third order for a transmission gating lies in the visible spectrum, specifically near violet 363 nm