A Solid Nonconducting Sphere of Radius R Carries a Charge

question 20

Multiple Choice

A solid nonconducting sphere of radius R carries a charge Q distributed uniformly throughout its volume.At a certain distance r₁ (r₁ < R) from the center of the sphere,the electric field has magnitude E.If the same charge Q were distributed uniformly throughout a sphere of radius 2R,the magnitude of the electric field at the same distance r₁ from the center would be equal to

• A) E/8.
• B) E/2.
• C) 2E.
• D) 8E.
• E) E.

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Definitions:

Normal Distribution

A bell-shaped curve that represents a distribution of values symmetrically clustered around the mean, significant in statistics and probability theory.

Probability

Probability is the branch of mathematics that deals with the likelihood of a given event's occurrence, ranging between 0 (impossible event) and 1 (certain event).

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating the spread of data points.

Sampling Distribution

The distribution of probabilities for a certain statistic, originating from a random sample.