Home
Class 11
PHYSICS
A Sonometer wire emits a tone of freque...

A Sonometer wire emits a tone of frequency 150 Hz . Find out the frequency of the fundamental tone emitted by the wire if the tension is increased in the ratio 9 : 16 and the length is doubled .

Text Solution

Verified by Experts

The mass per unit length m remains the same for a single wire. So from the relation ` n = (1)/(2l) sqrt((T)/(m)),` we get
`(n_(1))/(n_(2)) = (l_(2))/(l_(1)) sqrt((T_(1))/(T_(2)))`
` n_(2) = n_(1) * (l_(1))/(l_(2)) sqrt((T_(2))/(T_(1))) = 150 xx (1)/(2) xx sqrt((16)/(9)) = ` 100 Hz.
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    CHHAYA PUBLICATION|Exercise Higher order thinking skill (hots) questions|21 Videos

  • SUPERPOSITION OF WAVES

    CHHAYA PUBLICATION|Exercise Multiple choice questions (Based on standing wave)|5 Videos

  • STATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|3 Videos

  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos

Similar Questions

Explore conceptually related problems

A 20cm long closed pipe emits a tone of frequency 400 Hz . Find out the length of an open pipe emitting a tone of frequency 600 Hz at the same time.

The frequencies of the fundamental tones in a closed and an open pipe are the same . The ratio of the lengths of the two pipes is

If the frequency of the fundamental tone emitted from a pipe closed at one end is 200 Hz, then the frequencies of the first three overtones will be

A fundamental tone of frequency n_(1) is produced when a string stretched at both ends is vibrated. The frequency of the fundamental tone changes to n_(2) when the tension in the string is double. What is the ratio of n_(1) and n_(2) ?

The ratio of the lengths of two uniform wires of the same material of equal diameter is 2 : 3 . If the fre-quency of the fundamental note emitted by the shorted wire is one octave above that of the note emitted by the longer wire, find the ratio of the ten-sions in the wires .

Prove that the pitch of the fundamental tone emitted by an open pipe is one octave higher than that emitted by a closed pipe of equal length .