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In part 3.2.2 of the experiment, a pair of students measure theta mirror= 20 degrees. to find theta bench , they use the theoretical relationship theta mirror = 1/2 theta bench . then they measure theta bench= 47 degrees. what is the discrepancy between theory and experiment for theta bench?

Respuesta :

popalabdulqayou
θ=20
sinθm=1/2sinθb
Θ=47
sin20 mirror=1/2sin47bench



fichoh

The discrepancy between the theoretical and experimental value of the bench angle obtained is the difference between the two values which is -7°

The theoretical relationship between bench angle and mirror angle can be expressed thus :

  • [tex] \theta_{m} = \frac{1}{2} \theta_{b} [/tex]

  • [tex] \theta_{m} [/tex] = mirror angle

  • [tex] \theta_{b} [/tex] = bench angle

Substituting the mirror angle into the equation :

  • [tex] 20 = \frac{1}{2} \theta_{b} [/tex]

  • [tex] \theta_{b} = 20[/tex]

  • Theoretical angle of bench = 20°

Therefore, the discrepancy between the theoretical and measured value is the difference between the theoretical value and the experimental value, which is : (40° - 47°) = -7°

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