# Chapter 11 - Conceptual Questions - Page 426: 5

(a) The wavelength decreases. (b) The frequency increases. (c) The time for a pulse to travel the length of the string decreases. (d) The maximum velocity of a point on the string increases. (e) The maximum acceleration of a point on the string increases.

#### Work Step by Step

(a) $\lambda = 2L$ If the length decreases, then the wavelength decreases. (b) $f = \frac{v}{\lambda}$ Since the wave speed stays the same while the wavelength decreases, the frequency increases. (c) Since the wave speed stays the same while the total distance decreases, the time for a pulse to travel the length of the string decreases. (d) $v_m = A~\omega$ $v_m = A~(2\pi~f)$ Since the frequency increases, the maximum velocity of a point on the string increases. (e) $a_m = A~\omega^2$ $a_m = A~(2\pi~f)^2$ Since the frequency increases, the maximum acceleration of a point on the string increases.

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