=SIN(10*(*)/(P)I ()/(180))

\ and obtain 0.1736482 .\ 5. When looking at more complicated equations, such as the following equation which will arise in the study of adding resistors in parallel in electric circuits,\

(1)/(R_(3))=(1)/(R_(1))+(1)/(R_(2)).

\ Remember we just apply the rules for each term of the equation. In this case, suppose we have measured

R_(1)

and

R_(2)

, and thus have associated uncertainties. Deriving a formula for such compound uncertainties leads to messy equations, so instead, consider the following measurements of

R_(1)

and

R_(2)

, and evaluate

/bar (R)_(3)

and

\\\\Delta R_(3)

(we keep the units ohms, denoted

\\\\Omega

, so you can check your work, even though you have not seen them yet).\

R_(1)=(46.9+-0.2)\\\\Omega ,R_(2)=(54.1+-0.2)\\\\Omega .

\ Describe the process you used, and show your work clearly.\ 6. To the right is a table of angles and their sines measured to verify a law we will study in optics known as Snell's Law. This law says that these angles should be related for this experiment as\

sin\\\\theta _(1)=nsin\\\\theta _(2)

\ \\\\table[[

\\\\theta _(1)(\\\\deg )

,

\\\\theta _(2)(\\\\deg )

,

sin\\\\theta _(1)

,

sin\\\\theta _(2)

5. When looking at more complicated equations, such as the following equation which will arise in the study of adding resistors in parallel in electric circuits, R31=R11+R21 Remember we just apply the rules for each term of the equation. In this case, suppose we have measured R1 and R2, and thus have associated uncertainties. Deriving a formula for such compound uncertainties leads to messy equations, so instead, consider the following measurements of R1 and R2, and evaluate R3 and R3 (we keep the units ohms, denoted , so you can check your work, even though you have not seen them yet). R1=(46.90.2),R2=(54.10.2). Describe the process you used, and show your work clearly. 6. To the right is a table of angles and their sines measured to verify a law we will study in optics known as Snell's Law. This law says that these angles should be related for this experiment as sin1=nsin2 Verify Eq. (1.12) using a straight-line analysis. [See the box on page 1 for what we are asking for here.] To get the error in the slope and intercept, assume the uncertainty in the incident angle is negligible, and that 2=0.5. Calculate sin(2) for each angle using Eq. (1.11) and use the largest value as the uncertainty, y. 7. Suppose in the optics example in problem 6 , another group found that n has the value 1.290.04. Calculate n and discuss whether or not these results agree with each other. 5. When looking at more complicated equations, such as the following equation which will arise in the study of adding resistors in parallel in electric circuits, R31=R11+R21 Remember we just apply the rules for each term of the equation. In this case, suppose we have measured R1 and R2, and thus have associated uncertainties. Deriving a formula for such compound uncertainties leads to messy equations, so instead, consider the following measurements of R1 and R2, and evaluate R3 and R3 (we keep the units ohms, denoted , so you can check your work, even though you have not seen them yet). R1=(46.90.2),R2=(54.10.2). Describe the process you used, and show your work clearly. 6. To the right is a table of angles and their sines measured to verify a law we will study in optics known as Snell's Law. This law says that these angles should be related for this experiment as sin1=nsin2 Verify Eq. (1.12) using a straight-line analysis. [See the box on page 1 for what we are asking for here.] To get the error in the slope and intercept, assume the uncertainty in the incident angle is negligible, and that 2=0.5. Calculate sin(2) for each angle using Eq. (1.11) and use the largest value as the uncertainty, y. 7. Suppose in the optics example in problem 6 , another group found that n has the value 1.290.04. Calculate n and discuss whether or not these results agree with each other