Z that is where both of the light rays intersect
Answer:
1070 Hz
Explanation:
First, I should point out there might be a typo in the question or the question has inconsistent values. If the tube is 40 cm long, standing waves cannot be produced at 42.5 cm and 58.5 cm lengths. I assume the length is more than the value in the question then. Under this assumption, we proceed as below:
The insert in the tube creates a closed pipe with one end open and the other closed. For a closed pipe, the difference between successive resonances is a half wavelength
.
Hence, we have

.
The speed of a wave is the product of its wavelength and its frequency.



Answer:
θ = 53.13° above horizontal
Explanation:
Ignore air resistance.
The time the ball takes to reach its max height will equal the time to travel half the max range R.
√(2h/g) = (R/2)/vcosθ
vsinθ/g = R/2vcosθ
2v²sinθcosθ = Rg
2v²sinθcosθ = 3hg
v² = u² + 2gh
0² = v²sin²θ + 2gh
v²sin²θ = 2gh
v² = 2gh/sin²θ
2v²sinθcosθ = 3hg
(2gh/sin²θ)2sinθcosθ = 3hg
(2/sinθ)2cosθ = 3
cotθ = 3/4
θ = 53.130
The student that measured the mass to be 16110g got closest to the known result. She is off by 10 g.
Answer:
option E
Explanation:
given,
I is moment of inertia about an axis tangent to its surface.
moment of inertia about the center of mass
.....(1)
now, moment of inertia about tangent

...........(2)
dividing equation (1)/(2)



the correct answer is option E