$\text { Let } \mathbf { E } = x \mathbf { i } + y \mathbf { j } + 2 z \mathbf { k }$

question 5

Multiple Choice

$\text { Let } \mathbf { E } = x \mathbf { i } + y \mathbf { j } + 2 z \mathbf { k }$ be an electrostatic field. Use Gauss's Law to find the total charge enclosed by the closed surface consisting of the hemisphere $z = \sqrt { 1 - x ^ { 2 } - y ^ { 2 } }$ and its circular base in the $x y$ -plane.

• A) \(10 \pi\)
• B) \(\frac { 8 } { \pi }\)
• C) \(\frac { 8 \pi } { 3 }\)
• D) \(12 \pi\)
• E) \(\frac { 10 \pi } { 7 }\)

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Definitions:

Hydrophobic

Not readily interacting with water; having less affinity for water molecules than they have for each other. Compare with hydrophilic.

Nonpolar

A type of covalent bond where electrons are shared equally between atoms, leading to a molecule that does not have distinct poles or charges.

Glycogen

The principal storage polysaccharide in animal cells; formed from glucose and stored primarily in the liver and, to a lesser extent, in muscle cells

Cellulose

A structural polysaccharide consisting of beta glucose subunits; the main constituent of plant primary cell walls.