The equation to find the air pressure (P(h)) at a height above sea level (h) is given by

Where,
- P(h) is the new pressure at height h
is the air pressure at sea level, and- h is the height (measured in meters).
We want to know the new pressure that is 65% of
. So we should substitute
in P(h) (new pressure) to get the equation:
. Answer choice B is the correct one.
ANSWER: B
Answer:
A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:
A. closed at both ends
B. open at one end and closed at one end
C. open at both ends.
D. we cannot tell because we do not know the frequency of the sound.
The right choice is:
B. open at one end and closed at one end
.
Step-by-step explanation:
Given:
Length of the pipe,
= 120 cm
Its wavelength
= 480 cm
= 160 cm and
= 96 cm
We have to find whether the pipe is open,closed or open-closed or none.
Note:
- The fundamental wavelength of a pipe which is open at both ends is 2L.
- The fundamental wavelength of a pipe which is closed at one end and open at another end is 4L.
So,
The fundamental wavelength:
⇒ 
It seems that the pipe is open at one end and closed at one end.
Now lets check with the subsequent wavelengths.
For one side open and one side closed pipe:
An odd-integer number of quarter wavelength have to fit into the tube of length L.
⇒
⇒ 
⇒
⇒ 
⇒
⇒ 
⇒
⇒
So the pipe is open at one end and closed at one end
.
It is called a scale factor :)
Answer:
B) 538, 650
Step-by-step explanation:
Given:
Errors on tax returns filed manually = 20%
Errors on tax returns filed electronically = 0.05%
Tax return filled in each way = 2.7 million
Manual filing:
2,700,000 x 20% = 2,700,000*0.2 = 540,000
Electronic filing:
2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350
Error difference = 540,000 - 1,350 = 538,650
There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.
Thank you.