The graph below represents the intensity of light plotted for different position

Question

The graph below represents the intensity of light plotted for different positions on a screen. The pattern was created by a single frequency of light (wavelength ?) shining through a pair of slits. The peaks represent bright fringes or spots. The valleys represent dark spots. Label each of the following statements as true or false.

T or F Position H on the screen is a half wavelength further from one slit than the other.
T or F Position F on the screen is a half wavelength further from one slit than the other.
T or F  Position I on the screen is two wavelengths further from one slit than the other.
T or F Position G on the screen is 1 wavelength further from one slit than the other.
T or F Position E on the screen is the same distance from each slit.

Explanation / Answer

d sin(theta)= m(lamda); where m= 0, 1, 2, 3,...

d sin(theta=(m+1/2)lambda ; where m=0,1,2,3....

FALSE- Position H on the screen is a half wavelength further from one slit than the other

TRUE-Position F on the screen is a half wavelength further from one slit than the other.

TRUE- Position I on the screen is two wavelengths further from one slit than the other.

TRUE- Position G on the screen is 1 wavelength further from one slit than the other.

TRUE-Position E on the screen is the same distance from each slit.

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