Frequency and wavelength are two variables which are
indirectly proportional.
They are related in the following equation:
f = c / w
Where,
<span>f = frequency c =
speed of light w = wavelength</span>
Since c is constant, we can equate condition 1 and
condition 2:
f1 w1 = f2 w2
When w2 = 3 w1, then f2 becomes:
261.63 w1 = f2 (3 w1)
Cancelling w1:
f2 = 261.63 / 3
<span>f2 = 87.21 Hz</span>
Answer:
the correct statement is 2. The solid plate will have the greater angular acceleration.
the correct phrase is 4. The plate with the hole has its mass distributed further out from the axis of rotation, which will increase its moment of inertia.
Explanation:
Newton's second law expression for rotational motion is
τ = I α (1)
where the torque is
τ = F r
in this case, as the discs have the same radius and the applied force is the same, the torque is the same on the two discs.
The moment of inertia is given by the expression
I =∫ r² dm
for bodies with high symmetry are tabulated
the moment of inertia for in disk solid is I₁ = ½ m R₂²
the moment for a disk with a hole I₂ = ½ m (R₁² + R₂²)
We can see that the moment of inertia of the disk with the hole is greater than the moment of inertia of the solid disk.
Let's use equation 1
α = τ/I
therefore the angular acceleration is lower for the body with the higher moment of inertia, consequently the solid disk has higher angular acceleration
the correct statement is 2
The reason is because the moment of inertia is higher for the hollow disk.
the correct phrase is 4
The coefficient of kinetic friction between the block and the incline is 0.168.
<h3>
Coefficient of kinetic friction</h3>
The coefficient of kinetic friction is determined from the principle of conservation of energy as follows;
distance traveled on the incline = L
L = h/sin35
L = 1.743 h
Since it takes twice the time travel down,
velocity to slide = 1.743 h/2t = 0.871 v
- v is the velocity to drop from the vertical height
K.E of the block when it slides = ¹/₂mv₁² = ¹/₂m(0.871v)² = 0.871²(K.E to fall) = 0.758K.E to fall straight down
<h3>Energy lost to friction</h3>
1 - 0.758 = 0.24
<h3>Conservation of energy</h3>
μmgcos(35) = 0.24(mgsin(35)
μcos(35) = 0.24(sin(35)
μ = 0.168
Learn more about coefficient of kinetic friction here: brainly.com/question/20241845
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Answer:
Option B) The fuel for nuclear fusion comes from sea water
Explanation:
Nuclear fusion can not be carried out by using any type of water as water is composed of stable water molecules ( which is quite difficult to be decayed by any simple method.
Moreover, fusion reactions demands the combination of nuclei of lighter elements for which it makes use of the heavy isotopes of Hydrogen that are Deuterium and Tritium as fuel to carry out the nuclear fusion.
Answer:
16.5 m
Explanation:
Given,
Magnetic field = 0.02 T
radius of electron = 9 mm
speed of electron = speed of proton
radius of proton = ?
We know,
.........(1)
using newton second law
equating Force due to electron and proton
m_ e = 9.1 x 10⁻³¹ Kg and m_p = 1.67 x 10⁻²⁷ Kg
Hence, the radius of proton is equal to 16.5 m.