A) A tube that has a length of 0.46 m, and that is open from both ends, vibrates

Question

A) A tube that has a length of 0.46 m, and that is open from both ends, vibrates in the second harmonic with a frequency of 1150 Hz. In this situation, the distance from the center of the tube to the closest antinode is:

a

15 cm.

b

3.8 cm.

c

12 cm.

d

7.7cm.

e

zero

B) An ideal gas undergoes an ABCDA cyclic process. The gas initially have a volume of 1 L and a pressure of 1 atm and expands at constant pressure until its volume is 2.5 L, after which it cools to constant volume until its volume is again 1 L. Finally It is heated at constant volume until it returns to its original state. Determine the total work done on the gas and the added heat during the cycle.

a

15 cm.

b

3.8 cm.

c

12 cm.

d

7.7cm.

e

zero

Explanation / Answer

for open tube

use frequency f= nv/4L

here f or n = 2, f = 1150 Hz

so

4L = 2* 340/1150

L = 14.7 cm i.e 15 cm option A

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