Answer:
The velocity of the penny at 25th second is, v = 245 m/s
Explanation:
Given,
The time taken by the penny to hit the ground is, t = 30 s
The initial velocity of the penny, u = 0 m/s
The velocity of the penny at 25th second, v = ?
Using the II equation of motion, the displacement is given by the formula
<em> S = ut + ½ gt²</em>
= 0 + ½ x 9.8 ( 25²)
= 3062.5 m
Using the III equations of motion
<em>v² = u² + 2gs</em>
Substituting the given values,
v² = 0 + 2 x 9.8 x 3062.5
= 60025
v = 245 m/s
Hence, the velocity of the penny at 25th second is, v = 245 m/s
Answer:
Assume two identical cans filled with two types of soup having same mass are rolling down on an inclined plane in same conditions. In terms of inertia different types of soup will indicate different viscosity. The higher viscosity fillings indicates more part of the soup mass is rotating together with the can’s body. This means that for the can with lower viscosity soup has a lower moment of inertia and the can with higher viscosity has higher moment of inertia while the same gravity makes them to roll.
incline angle = θ ; can's mass = m ; Radius of the can's = R , Angular acceleration for Can 1 = α1 ; Angular acceleration for Can 2 = α2
T1 = Inertia of Can with high viscosity soup
T2 = Inertia of Can with low viscosity soup
M1 rolling moment of Can 1
M2 rolling moment of Can 2
equation is given by
T1*α1 = M1 - (a)
T2*α2 = M2 - (b)
M1 = M2 = m*g*R*sin(θ). (c)
as assumed T1 > T2
from the three equation (a), (b) & (c)
the α2 > α1
Angular acceleration of Can 2 is higher than Can 1. Already stated that Can 1 has more viscous soup as compared to Can 2.
Answer:
Atoms are the most basic units of an element whereas molecules are atoms that are chemically bonded together.
Explanation:
- The atoms are made up of protons, neutrons, and electrons that are the basic constituents of matter.
- The atoms occur in nature as single or bonded.
- The inert gases are the atoms that they occur as the individual atoms in nature.
- All other atoms in nature are bonded to the same elements or different elements and form molecules.
- Hence, atoms are the most basic units of an element whereas molecules are atoms that are chemically bonded together.
Answer:
a) laser 1 has the maximum closest to the central maximum
b) y₂ –y₁ = L 1.66 10⁻²
Explanation:
a), B1, B2) The expression that describes the constructive interference for a double slit is
d sin θ = m λ
The pattern is observed on a screen
tan θ = y / L
Since the angles are very small
tan θ = sin θ / cos θ = sin θ = y/L
d y / L = m λ
In this case the laser has a wavelength
λ
₁ = d/20
We substitute
d y / L = m d / 20
m = 1
y₁ = L / 20
For the laser 2 λ
₂= d / 15
y₂ = L / 15
When examining the two expressions, laser 1 has the maximum closest to the central maximum
b) the difference between the two patterns is
y₂- y₁ = L (1/15 - 1/20)
y₂ –y₁ = L 1.66 10⁻²
C) laser 1 second maximum
y₁ ’= 2 L / 20
y₁ ’= L 0.1
Laser 2 third minimum
To have a minimum, the equation must be satisfied
d sin θ = (m + ½) λ
d y / L = (m + ½) λ
d y / L = (m + ½) d / 15
y = L (m +1/2) / 15
m = 3
y₂’= L (3 + ½) / 15
y₂’= L 0.2333
The difference is
y₁ ’- y₂’ = L (0.1 - 0.2333)
y₁ ’–y₂’ = L (-0.133)
Answer:
1) A time-varying magnetic field will produce an electric field.
4) A time-varying electric field will produce a magnetic field.
Explanation:
1) A time-varying magnetic field will produce an electric field.
TRUE
time varying magnetic field will produce electric field which is given as
![E = \frac{r}{2}\frac{dB}{dt}](https://tex.z-dn.net/?f=E%20%3D%20%5Cfrac%7Br%7D%7B2%7D%5Cfrac%7BdB%7D%7Bdt%7D)
2) Time-varying electric and magnetic fields can propagate through space only if there is no matter in their path.
FALSE
Time varying electric field and magnetic field will induce each other and it can travel through any medium as well as it can travel without any medium also
3) Electric and magnetic fields can be treated independently only if they vary in time.
FALSE
electric field can be due to stationary charge and magnetic field due to current carrying elements so it is not compulsory to have time varying
4) A time-varying electric field will produce a magnetic field.
TRUE
Time varying electric field will produce magnetic field given as
![B = \frac{\mu_o\epsilon_o A}{2r}\frac{dE}{dt}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B%5Cmu_o%5Cepsilon_o%20A%7D%7B2r%7D%5Cfrac%7BdE%7D%7Bdt%7D)