Question

Part 3. Double Slit Interference In the pictures on the last page, the rays are emitted in all directions from the slits, but let's concentrate on the rays that are emitted in a specific direction ? toward a distant screen (? measured from the normal to the barrier). One of these rays has further to travel to reach the screen, and the path difference is given by d sin ?. a. Predict the brightness on the distant screen if the path difference is exactly one wavelength ? (or any integer number of wavelengths)? Explain your reasoning. b. Predict the brightness if the path difference is ?/2, 3?/2, or 5?/2, etc.? Which equation below tells you the angles (?) at which you will see bright spots and which one tells you the angles (?) for dark spots? Circle one: Bright or Dark d sin ? = m? Circle one: Bright or Dark d sin ? = (m + 1/2)? } m = 0, ±1, ±2, ...

          Part 3. Double Slit Interference

In the pictures on the last page, the rays are emitted in all directions from the slits, but let's concentrate on the rays that are emitted in a specific direction ? toward a distant screen (? measured from the normal to the barrier). One of these rays has further to travel to reach the screen, and the path difference is given by d sin ?.

a. Predict the brightness on the distant screen if the path difference is exactly one wavelength ? (or any integer number of wavelengths)? Explain your reasoning.

b. Predict the brightness if the path difference is ?/2, 3?/2, or 5?/2, etc.?

Which equation below tells you the angles (?) at which you will see bright spots and which one tells you the angles (?) for dark spots?
Circle one: Bright or Dark    d sin ? = m?
Circle one: Bright or Dark    d sin ? = (m + 1/2)?    } m = 0, ±1, ±2, ...

Part 3. Double Slit Interference

In the pictures on the last page, the rays are emitted in all directions from the slits, but let's concentrate on the rays that are emitted in a specific direction ? toward a distant screen (? measured from the normal to the barrier). One of these rays has further to travel to reach the screen, and the path difference is given by d sin ?.

a. Predict the brightness on the distant screen if the path difference is exactly one wavelength ? (or any integer number of wavelengths)? Explain your reasoning.

b. Predict the brightness if the path difference is ?/2, 3?/2, or 5?/2, etc.?

Which equation below tells you the angles (?) at which you will see bright spots and which one tells you the angles (?) for dark spots?
Circle one: Bright or Dark d sin ? = m?
Circle one: Bright or Dark d sin ? = (m + 1/2)? m = 0, ±1, ±2, ...

Added by Heather G.

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