A flying mosquito hits the windshield of a moving car and gets smashed, but the car is intact. Which of the following statements
1 answer:
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Answer:
It increased by a factor of 3.
Explanation:
The gravitational potential energy of an object is given by
where
m is the mass
g is the gravitational acceleration
h is the heigth of the object relative to some reference point (for instance, the ground)
As we see from the formula, the gravitational potential energy is directly proportional to the mass, m: therefore, if the mass of the cylinder is increased by a factor 3, then the gravitational potential energy will also increase by a factor 3.
(a) The diffraction decreases
The formula for the diffraction pattern from a single slit is given by:
where
is the angle corresponding to nth-minimum in the diffraction pattern, measured from the centre of the pattern
n is the order of the minimum
is the wavelength
a is the width of the opening
As we see from the formula, the longer the wavelength, the larger the diffraction pattern (because increases). In this problem, since the wavelength of the signal has been decreased from 54 cm to 13 mm, the diffraction of the signal has decreased.
(b)
The angular spread of the central diffraction maximum is equal to twice the distance between the centre of the pattern and the first minimum, with n=1. Therefore:
in this case we have
is the wavelength
is the width of the opening
Solving the equation, we find
So the angular spread of the central diffraction maximum is twice this angle:
(c)
Here we can apply the same formula used before, but this time the wavelength of the signal is
so the angle corresponding to the first minimum is
So the angular spread of the central diffraction maximum is twice this angle: