The frequency of the yellow light is 
Explanation:
The relationship between wavelength, frequency and speed of a wave is given by the wave equation:

where
v is the speed of the wave
f is the frequency
is the wavelength
For the yellow light in this problem, we have:
is the speed
is the wavelength
Solving for f, we find its frequency:

Learn more about frequency and waves:
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The shear modulus, or the modulus of rigidity, is derived from the torsion of a cylindrical test piece. It describes the material's response to shear stress. The shear modulus is one of several quantities for measuring the stiffness of materials and it arises in the generalized Hooke's law. ...
Answer:
The tension in the rod as the ball moves through the bottom circle is 9.8 N
Explanation:
When the ball is released from rest, the centripetal force equals the weight of the ball. So mv²/r = mg where m = mass of ball = 0.5 kg, v = speed of ball, r = radius of vertical circle = length of rod = 0.5 m and g = acceleration due to gravity = 9.8 m/s²
v = √gr = √9.8 m/s² × 0.5 m = √4.9 = 2.21 m/s
Now at the bottom of the circle T - mg = mv²/r where T = tension in the rod
T = m(g + v²/r)
= m(g + (√gr)²/r)
= m(g+ gr/r)
= m(g + g)
= 2mg
= 2 × 0.5 kg × 9.8 m/s²
= 9.8 N
So, the tension in the rod as the ball moves through the bottom circle is 9.8 N
Answer:
500 m
Explanation:
t = Time taken
u = Initial velocity = 50 m/s
v = Final velocity = 0
s = Displacement
a = Acceleration = -2.5 m/s²
Equation of motion

Time taken by the train to stop is 20 seconds

∴ The engineer applied the brakes 500 m from the station
Answer:
1.07 m
Explanation:
x = Compression of the spring
k = Spring constant = 53 N/m
Initial length = 18 cm
P = Kinetic energy
K = Kinetic energy
At the lowest point of the mass the energy conservation is as follows

At its lowest position the mark on the ruler will be

The spring line will end up at 1.07 m