Two waves of the same pitch have amplitudes in the ratio 1:3. What will be the ratioof their (i) loudness and (ii) frequencies?
Question
Two waves of the same pitch have amplitudes in the ratio 1:3. What will be the ratioof their (i) loudness and (ii) frequencies?
Solution
(i) Loudness: The loudness of a sound is directly proportional to the square of the amplitude of the wave. So, if the amplitudes are in the ratio 1:3, the loudness will be in the ratio 1^2 : 3^2 = 1:9.
(ii) Frequencies: The frequency of a wave is not affected by its amplitude. Therefore, the ratio of their frequencies will be 1:1, assuming they are of the same pitch as stated in the question.
Similar Questions
Which of the following is proportional to the amplitude of the sound where the frequency remainsconstant?
Loudness of a sound wave varies directly with the vibrating body’s(a) Intensity(b) Frequency(c) Amplitude(d) Quality
What is the perceived intensity of sound?a) pitchb) hertzc) decibeld) timbree) loudness
A source of sound has an intensity I1 and when its sound level is measured at a fixed distance the value found is 70 dB. The source then has its intensity increased to I2 and when its sound level is measured at the same distance the value found is 96 dB. What is the ratio I2/I1?Select one:a.14b.26c.600d.400
A signal generator, amplifier and loudspeaker are used to produce different sound waves in theair of a room. The relationships between the properties of these waves are investigated.Which relationship is not correct?A Amplitude is proportional to wavelength.B Frequency is inversely proportional to wavelength.C Intensity is proportional to amplitude squared at a given frequency.D Period is equal to the reciprocal of frequency.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.