Answer:
a) y = 2.4 x 10⁻³ m = 0.24 cm
b) y = 3.2 x 10⁻³ m = 0.32 cm
Explanation:
The formula of Young's Double Slit experiment will be used here:
![y = \frac{\lambda L}{d}\\\\](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%5Clambda%20L%7D%7Bd%7D%5C%5C%5C%5C)
where,
y = distance between dark spots = ?
λ = wavelength
L = distance of screen = 2 m
d = slit width = 4 x 10⁻⁴ m
a) FOR λ = 480 nm = 4.8 x 10⁻⁷ m:
![y = \frac{(4.8\ x\ 10^{-7}\ m)(2\ m)}{4\ x\ 10^{-4}\ m}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%284.8%5C%20x%5C%2010%5E%7B-7%7D%5C%20m%29%282%5C%20m%29%7D%7B4%5C%20x%5C%2010%5E%7B-4%7D%5C%20m%7D)
<u>y = 2.4 x 10⁻³ m = 0.24 cm</u>
<u></u>
a) FOR λ = 640 nm = 6.4 x 10⁻⁷ m:
![y = \frac{(6.4\ x\ 10^{-7}\ m)(2\ m)}{4\ x\ 10^{-4}\ m}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%286.4%5C%20x%5C%2010%5E%7B-7%7D%5C%20m%29%282%5C%20m%29%7D%7B4%5C%20x%5C%2010%5E%7B-4%7D%5C%20m%7D)
<u>y = 3.2 x 10⁻³ m = 0.32 cm</u>
Answer:
(a) 1462.38 m/s
(b) 2068.13 m/s
Explanation:
(a)
The Kinetic energy of the atom can be given as:
K.E = (3/2)KT
where,
K = Boltzman's Constant = 1.38 x 10⁻²³ J/k
K.E = Kinetic Energy of atoms = 343 K
T = absolute temperature of atoms
The K.E is also given as:
K.E = (1/2)mv²
Comparing both equations:
(1/2)mv² = (3/2)KT
v² = 3KT/m
v = √[3KT/m]
where,
m = mass of Helium = (4 A.M.U)(1.66 X 10⁻²⁷ kg/ A.M.U) = 6.64 x 10⁻²⁷ kg
v = RMS Speed of Helium Atoms = ?
Therefore,
v = √[(3)(1.38 x 10⁻²³ J/K)(343 K)/(6.64 x 10⁻²⁷ kg)]
<u>v = 1462.38 m/s</u>
(b)
For double temperature:
T = 2 x 343 K = 686 K
all other data remains same:
v = √[(3)(1.38 x 10⁻²³ J/K)(686 K)/(6.64 x 10⁻²⁷ kg)]
<u>v = 2068.13 m/s</u>
The correct answer is D. Amount of time and area of physical contact between the substances.
Explanation:
Heat transfer refers to the flow of thermal energy or heat between two or more objects. This process involves multiple factors and implies heat from the hottest object goes to the coldest one until there is an equilibrium. To begin, heat transfer depends on the amount of thermal energy in the objects because objects must have a different amount of thermal energy for heat to flow.
Besides this, the amount of energy that flows depends on the time and the contact between the substances of objects. Indeed, objects need to be in contact or close to each other for heat to transfer, and the time needs to be enough for the process to occur. For example, if you place a pot over the fire just for a few seconds it is likely the heat transferred is minimal, which does not occur if you leave the pot more time. At the same time if the pot is in close contact with fire more heat will be transferred.-
Answer:
The magnitude of angular acceleration is
.
Explanation:
Given that,
Initial angular velocity, ![\omega_i=3500\ rev/min=366.5\ rad/s](https://tex.z-dn.net/?f=%5Comega_i%3D3500%5C%20rev%2Fmin%3D366.5%5C%20rad%2Fs)
When it switched off, it comes o rest, ![\omega_f=0](https://tex.z-dn.net/?f=%5Comega_f%3D0)
Number of revolution, ![\theta=46=289.02\ rad](https://tex.z-dn.net/?f=%5Ctheta%3D46%3D289.02%5C%20rad)
We need to find the magnitude of angular acceleration. It can be calculated using third equation of rotational kinematics as :
So, the magnitude of angular acceleration is
. Hence, this is the required solution.