Answer:
area = 5733.33 cm²
length = 5.47 ×
cm
Explanation:
Given data
density = 19.32 g/cm³
mass = 33.16 g
thickness = 3.000 µm = 3 ×
cm
radius r = 1.000 µm = 1 ×
cm
to find out
area of the leaf and length of the fiber
solution
we know volume formula that is
volume = mass / density
volume = 33.16 / 19.32
volume = 1.72 cm³
we know that volume = thickness × area
so area
area = volume / thickness
area = 1.72 / 3 ×![10^{-4}](https://tex.z-dn.net/?f=10%5E%7B-4%7D)
area = 5733.33 cm²
and
we know volume = πr²L
so L = volume / πr²
length = 1.72 / π(1×
)²
length = 5.47 ×
cm
The thermal energy of an object is the energy contained in the motion and vibration of its molecules. Thermal energy is measured through temperature. The energy contained in the small motions of the object's molecules can be broken up into a combination of microscopic kinetic energy and potential energy.
It would be D) the rope is pulled to the right. This is because their is a greater force in that direction.
Answer:
Wavelength,![\lambda=657\ nm](https://tex.z-dn.net/?f=%5Clambda%3D657%5C%20nm)
Explanation:
The energy of the electron in a hydrogen atom can be calculated from the Bohr formula as :
.............(1)
Where
R is the Rydberg constant
n is the number of orbit
We need to find the wavelength of the line in the absorption line spectrum of hydrogen caused by the transition of the electron from an orbital with to an orbital with n₁ = 2 to an orbital with n₂ = 3.
Equation (1) can be re framed as :
![\dfrac{1}{\lambda}=R(\dfrac{1}{n_1^2}-\dfrac{1}{n_2^2})](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%5Clambda%7D%3DR%28%5Cdfrac%7B1%7D%7Bn_1%5E2%7D-%5Cdfrac%7B1%7D%7Bn_2%5E2%7D%29)
![\dfrac{1}{\lambda}=1.096\times 10^7\times (\dfrac{1}{2^2}-\dfrac{1}{3^2})](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B%5Clambda%7D%3D1.096%5Ctimes%2010%5E7%5Ctimes%20%28%5Cdfrac%7B1%7D%7B2%5E2%7D-%5Cdfrac%7B1%7D%7B3%5E2%7D%29)
![\lambda=6.569\times 10^{-7}\ m](https://tex.z-dn.net/?f=%5Clambda%3D6.569%5Ctimes%2010%5E%7B-7%7D%5C%20m)
or
![\lambda=657\ nm](https://tex.z-dn.net/?f=%5Clambda%3D657%5C%20nm)
So, the the wavelength of the line in the absorption line spectrum is 657 nm. Hence, this is the required solution.
Answer:
x- component = Fx= 4N
y - component= Fy= 3N
Explanation:
Fx=Fcos∅= 5cos 37= 3.99≅4N
Fy=F sin∅= 5 Sin37= 3.009≅3.01N
the dog pulls the pillow at an angle 37 degrees to the horizontal means it pulls it at an angle 37 degrees with the x- axis.if the line of the force represents the vector F then its horizonatal and vertical components wil be along x-axis and y-axis ie Fx and Fy.
as sin∅= Perpendicular/ Hypotenuse
but we have force F and Fy
so sin∅= Fy/F
or Fy= Fsin∅---------eqA
similarly cos∅= base /hpotenuse
cos∅= Fx/F
Fx= Fcos∅----------eq B
eq A and eq B can be used to determine the values of the rectangular components of the force making an angle with the horizontal