Two adjacent natural frequencies of an organ pipe are determined to be 986 hz and 1102 hz. (assume the speed of sound is 343 m/s.) (a) calculate the fundamental frequency of this pipe. (b) calculate the length of this pipe.

The fundamental frequency and the length of the pipe are 115.8 Hz and 1.48 m.

Explanation:

Given that,

First frequency = 986 Hz

Second frequency = 1102 Hz

We need to calculate the length of the pipe

Using formula of length

Put the value into the formula

We need to calculate the fundamental frequency of this pipe

Put the value into the formula

Hence, The fundamental frequency and the length of the pipe are 115.8 Hz and 1.48 m.

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006   kilo calorie

then ,802.3 kilo joule will be = 802.30.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.