A string of length L, mass per unit length m, and tension T is vibrating at its fundamental frequency. (a) If the length of the string is doubled, with all other factors held constant, what is the effect on the fundamental frequency? O It becomes four times larger. O It becomes two times larger. It becomes √2 times larger. O It is unchanged. O It becomes 1/√2 times as large. O It becomes one-half as large. O It becomes one-fourth as large. (b) If the mass per unit length is doubled, with all other factors held constant, what is the effect on the fundamental frequency? O It becomes four times larger. It becomes two times larger. O It becomes √2 times larger. O It is unchanged. O It becomes 1/√2 times as large. O It becomes one-half as large. O It becomes one-fourth as large.

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Chapter14: Superposition And Standing Waves
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A string of length L, mass per unit length m, and tension T is vibrating at its fundamental frequency.

(a) If the length of the string is doubled, with all other factors held constant, what is the effect on the fundamental frequency?
It becomes four times larger.It becomes two times larger.    It becomes √2 times larger.It is unchanged.It becomes 1/√2 times as large.It becomes one-half as large.It becomes one-fourth as large.

(b) If the mass per unit length is doubled, with all other factors held constant, what is the effect on the fundamental frequency?
It becomes four times larger.It becomes two times larger.    It becomes √2 times larger.It is unchanged.It becomes 1/√2 times as large.It becomes one-half as large.It becomes one-fourth as large.

(c) If the tension is doubled, with all other factors held constant, what is the effect on the fundamental frequency?
It becomes four times larger.It becomes two times larger.    It becomes √2 times larger.It is unchanged.It becomes 1/√2 times as large.It becomes one-half as large.It becomes one-fourth as large.
 
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A string of length L, mass per unit length m, and tension T is vibrating at its fundamental frequency.
(a) If the length of the string is doubled, with all other factors held constant, what is the effect on the fundamental frequency?
O It becomes four times larger.
O It becomes two times larger.
It becomes √2 times larger.
O It is unchanged.
O It becomes 1/√2 times as large.
O It becomes one-half as large.
O It becomes one-fourth as large.
(b) If the mass per unit length is doubled, with all other factors held constant, what is the effect on the fundamental frequency?
O It becomes four times larger.
O It becomes two times larger.
O It becomes √2 times larger.
It is unchanged.
O It becomes 1/√2 times as large.
O It becomes one-half as large.
O It becomes one-fourth as large.
Transcribed Image Text:A string of length L, mass per unit length m, and tension T is vibrating at its fundamental frequency. (a) If the length of the string is doubled, with all other factors held constant, what is the effect on the fundamental frequency? O It becomes four times larger. O It becomes two times larger. It becomes √2 times larger. O It is unchanged. O It becomes 1/√2 times as large. O It becomes one-half as large. O It becomes one-fourth as large. (b) If the mass per unit length is doubled, with all other factors held constant, what is the effect on the fundamental frequency? O It becomes four times larger. O It becomes two times larger. O It becomes √2 times larger. It is unchanged. O It becomes 1/√2 times as large. O It becomes one-half as large. O It becomes one-fourth as large.
(c) If the tension is doubled, with all other factors held constant, what is the effect on the fundamental frequency?
O It becomes four times larger.
O It becomes two times larger.
O It becomes √2 times larger.
O It is unchanged.
O It becomes 1/√2 times as large.
O It becomes one-half as large.
O It becomes one-fourth as large.
Transcribed Image Text:(c) If the tension is doubled, with all other factors held constant, what is the effect on the fundamental frequency? O It becomes four times larger. O It becomes two times larger. O It becomes √2 times larger. O It is unchanged. O It becomes 1/√2 times as large. O It becomes one-half as large. O It becomes one-fourth as large.
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