A Tank Holds a Layer of Oil, of Thickness $T _ { \mathrm { O } } = 1.65 \mathrm {~m}$

question 167

Multiple Choice

A tank holds a layer of oil, of thickness $T _ { \mathrm { O } } = 1.65 \mathrm {~m}$ , that floats on a layer of syrup of thickness $T _ { \mathrm { S } } =$ $0.830 \mathrm {~m}$ , as shown in the figure. Both liquids are clear and do not mix together. A light ray, originating at the bottom of the tank at point $P$ , crosses the oil-syrup interface at a point $0.900 \mathrm {~m}$ from the axis. The ray continues and arrives at the oil-air interface, $2.00 \mathrm {~m}$ to the right of $P$ and at the critical angle. What is the index of refraction of the syrup?

• A) \(1.54\)
• B) \(1.94\)
• C) \(1.25\)
• D) \(1.75\)
• E) \(1.36\)

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Definitions:

Direct Labor Cost Variance

The difference between the budgeted cost of direct labor for production and the actual cost incurred, indicating over or under allocation of resources.

Direct Labor Rate Variance

The difference between the actual cost of direct labor and the expected (or standard) cost, indicating discrepancies in workforce expenses.

Direct Labor Efficiency Variance

A measure of the difference between the actual hours worked and the standard hours expected for the production accomplished.

Favorable

A term used in budgeting and accounting to describe a financial result or variance that is better than expected or budgeted.