A scientist wants to find the square of the distance d from a source to a detector. Instead of directly measuring d, she measures the distances along an x and y axis and their uncertainties. Then she uses the Pythagorean Theorem to find d2:
d2 = x2+ y2
Question 4 (1 point)
Given an uncertainty in x, what is the absolute uncertainty in x2?
Form: r=xn
Rule: Δr/r =nΔx/x
Question 4 options:
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A scientist wants to find the square of the distance d from a source to a...
Given uncertainties in x and y, what is the uncertainty in d2? Use the addition rule on the results of the power rule. Addition rule Form r= x+ y Rule Δr= Δx + Δy d2 = x2+ y2 Question 5 options: A) Δd2=Δx2+ Δy2 B) Δd2=2(xΔx+ yΔy) C) Δd2=2(Δx+ Δy)(x + y)
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