Provide an Appropriate Response $\mathrm { L } = \frac { 1 } { \sqrt { 2 } \pi \mathrm { t } ^ { 2 } \mathrm { n } }$

question 34

Multiple Choice

Provide an appropriate response.
-Under standard conditions, molecules of a gas collide billions of times per second. If each molecule has diameteı average distance between collisions is given by
$\mathrm { L } = \frac { 1 } { \sqrt { 2 } \pi \mathrm { t } ^ { 2 } \mathrm { n } }$ where $n$ , the volume density of the gas, is a constant. Find $\frac { d ^ { 2 } L } { d t ^ { 2 } }$ .

• A) \(\frac { \mathrm { d } ^ { 2 } \mathrm {~L} } { d t ^ { 2 } } = - \frac { 2 } { \sqrt { 2 } \pi t ^ { 3 } n }\)
• B) \(\frac { d ^ { 2 } L } { d t ^ { 2 } } = \frac { 6 } { \sqrt { 2 } \pi t ^ { 4 } n }\)
• C) \(\frac { \mathrm { d } ^ { 2 } \mathrm {~L} } { \mathrm { dt } ^ { 2 } } = - \frac { 2 } { \sqrt { 2 } \pi \mathrm { t } ^ { 2 } \mathrm { n } }\)
• D) \(\frac { \mathrm { d } ^ { 2 } \mathrm {~L} } { \mathrm { dt } ^ { 2 } } = - \frac { 6 } { \sqrt { 2 } \pi t ^ { 4 } \mathrm { n } }\)

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Definitions:

Variable Overhead Efficiency Variance

The difference between the actual variable overhead cost incurred and the expected (or standard) variable overhead cost for the actual production volume.

Manufacturing Overhead

All indirect costs associated with the manufacturing process, excluding direct materials and direct labor.

Direct Labor Workers

Employees who are directly involved in the production of goods, their wages are considered direct labor costs.

Denominator Level

The base or reference level used in various accounting or financial ratios, indicating the scale or volume for allocation or comparison.