The mass of Planet X is one-tenth that of the earth, and its diameter is one-half that of the earth. the acceleration due to gra
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Total distance moved by bead is 1.952 cm.
Explanation:
Let first consider all data that are given in question.
1. F = 8 N ...force acting on string
2. f = 2 Hz ...frequency of system
3. β = 4 cm = 0.04 m ...wavelength of wave formed due to vibration 4. A = 1 cm = 0.01 m ...Amplitude of vibration
Under certain conditions, waves can bounce back and forth through a particular region, effectively becoming stationary. These are called standing waves.
Here,it is due to vibration induced in spring due to tension induced in string
Standing wave equation is given by
...(1)
Let first find, value of K, x, w, t
k = 2 * pi / beta ....(2)
Where β is wavelength in meters
K is wave number
k = 2 * pi / 0.01
k = 628.31
now, let us find value of w
W = 2 x pi x f ....(3)
where f is frequency in hertz
W = 2 x pi x 2
W = 4 x pi
W = 0.08
now, let us find value of v that is wave speed
Notice that some x-positions of the resultant wave are always zero no matter what the phase relationship is. These positions are called nodes.
Finding the positions where the sine function equals zero provides the positions of the nodes.
In our case, and
K * x = pi
x = 0.04 / 2
x = 0.02
Y = 1.952 cm
Finally, when bead is at middle of the string, total distance after stretch covered is 1.952 cm.
Answer:
When a light wave goes through a slit, it is diffracted, which means the slit opening acts as a new source of waves. How much a light wave diffracts<em> (how much it fans out)</em> depends on the wavelength of the incident light. The wavelength must be larger than the width of the slit for the maximum diffraction. Thus, for a given slit, red light, because it has a longer wavelength, diffracts more than the blue light.
The corresponding relation for diffraction is
,
where is the wavelength of light,
is the slit width, and
is the diffraction angle.
From this relation we clearly see that the diffraction angle is directly proportional to the wavelength
of light—longer the wavelength larger the diffraction angle.
Explanation:
Work done by gravity is given by the formula,
W = ......... (1)
It is known that when levels are same then height of the liquid is as follows.
h = ......... (2)
Putting value of equation (2) in equation (1) the overall formula will be as follows.
W =
=
= 0.689 J
Thus, we can conclude that the work done by the gravitational force in equalizing the levels when the two vessels are connected is 0.689 J.
D. Free fall
Explanation:
An object is said to be in free fall when there is only one force acting on the body, which is the force of gravity.
Near the Earth's surface, the force of gravity acting on a body is given by
F = mg
where
m is the mass of the body
g is the acceleration of gravity (its value is )
The direction of this force is downward (towards the Earth's centre).
If we apply Newton's second law on an object in free-fall, we can find its acceleration. In fact, we have:
And substituting F,
So, every object in free-fall accelerates at towards the ground.
Learn more about free fall here:
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