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Understanding Potential Energy Functions and Standing Wave Characteristics

Exploring potential energy functions and simplest characteristic oscillation of standing waves in physics. Discover implications of energy functions and wave properties.

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Understanding Potential Energy Functions and Standing Wave Characteristics

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  1. Consider a potential energy function as shown here. • What does this potential energy function imply? • (A) There is a physical wall at x=-a/2 and another one at x=+a/2. • (B) A particle can move freely between x = -a/2 and x= +a/2 without • any force acting on it. • At x = ±a/2, a force will act on a particle, pushing it into region II • A, B and C • (E) B and C

  2. Consider a potential energy function as shown here. • What does this potential energy function imply? • (A) There is a physical wall at x=-a/2 and another one at x=+a/2. • (B) A particle can move freely between x = -a/2 and x= +a/2 without • any force acting on it. • At x = ±a/2, a force will act on a particle, pushing it into region II • A, B and C • (E) B and C

  3. Consider a standing wave on a clamped string. What function describes the simplest characteristic oscillation of the string? (A) y(x)= cos(px/a) (B) y(x)= const. (C) y(x)= sin(px/a) (D) y(x)= a·x2 y(x) -a/2 +a/2

  4. Consider a standing wave on a clamped string. What function describes the simplest characteristic oscillation of the string? (A) y(x)= cos(px/a) (B) y(x)= const. (C) y(x)= sin(px/a) (D) y(x)= a·x2

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