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Spring Block's Time Period

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A string of 50cm long is under a tension of 20N force. If mass of string is 1g then frequency of fundamental mode i

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Q. A string a musical instrument in 50 cm long and its fundamental frequency is 270 Hz. If a frequency of 1000 Hz is to be produced, then required length of string is -

Q. A string in a musical instrument is

50 c m

long and its fundamental frequency is

800 H z

. If a frequency of

1000 H z

is to be produced, then required length of string is

Q. The fundamental frequency of vibration of

1 c m

256 H z

. If the length of the string is reduced to

\frac{1}{4} c m

keeping the tension unaltered, the new fundamental frequency will be

1 cm

long string vibrates with fundamental frequency of

256 Hz

. If the length is reduced to

\frac{1}{4} cm

keeping the tension unaltered, the new fundamental frequency will be (in Hz) (string is fixed at both ends)

Q. A string 25 cm long, fixed at both ends, having a mass of 0.25 gm/cm, is under tension. A pipe closed at one end is 40 cm long. When the string is set vibrating in its first overtone, and the air in the pipe in its fundamental frequency, 8 beats/sec are heard. It is observed that decreasing the tension in the string, decreases the beat frequency. If the speed of sound in air is 320 m/s, then the tension in the string in N is (60+x). Find the value of x.

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