A grandfather clock depends on the period of a pendulum to keep correct time. Suppose a grandfather clock is calibrated correctl
2 answers:
The grandfather clock will run: slower
<h3>Explanation: </h3>A grandfather clock depends on the period of a pendulum to keep correct time. Suppose a grandfather clock is calibrated correctly and then a mischievous child slides the bob of the pendulum downward on the oscillating rod.
A pendulum is a weight that get suspended from a pivot, therefore it can swing freely. A pendulum clock is the clock using a pendulum, a swinging weight, as its timekeeping element.
Calibrate in physics means to ascertain the caliber of and to determine, rectify, or mark the graduations of something, such as a thermometer tube.
A bob is the weight located on the end of a pendulum found in pendulum clocks.
The time period of simple pendulum is given by:
The time period of a simple pendulum is defined as the time taken by the pendulum to finish one full oscillation.
Where l is the effective length of the pendulum, and g is the acceleration due to gravity
The grandfather clock will run: Slower. Because as the length of the pendulum increase, the tie period of the pendulum also increase. It means the clock run slow.
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Answer:
Slow
Explanation:
As we know that the time period of simple pendulum is given by
Where, l be the effective length of the pendulum and g be the acceleration due to gravity
As the length of the pendulum increase, then the tie period of the pendulum will also increase.
It means the clock run slow.
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Answer:
a) What are the characteristics of the radiation emitted by a blackbody?
The total emitted energy per unit of time and per unit of area depends in its temperature (Stefan-Boltzmann law).
The peak of emission for the spectrum will be displaced to shorter wavelengths as the temperature increase (Wien’s displacement law).
The spectral density energy is related with the temperature and the wavelength (Planck’s law).
b) According to Wien's Law, how many times hotter is an object whose blackbody emission spectrum peaks in the blue, at a wave length of 450 nm, than a object whose spectrum peaks in the red, at 700 nm?
The object with the blackbody emission spectrum peak in the blue is 1.55 times hotter than the object with the blackbody emission spectrum peak in the red.
Explanation:
A blackbody is an ideal body that absorbs all the thermal radiation that hits its surface, thus becoming an excellent emitter, as these bodies express themselves without light radiation, and therefore they look black.
The radiation of a blackbody depends only on its temperature, thus being independent of its shape, material and internal constitution.
If it is study the behavior of the total energy emitted from a blackbody at different temperatures, it can be seen how as the temperature increases the energy will also increase, this energy emitted by the blackbody is known as spectral radiance and the result of the behavior described previously is Stefan's law:
(1)
Where is the Stefan-Boltzmann constant and T is the temperature.
The Wien’s displacement law establish how the peak of emission of the spectrum will be displace to shorter wavelengths as the temperature increase (inversely proportional):
(2)
Planck’s law relate the temperature with the spectral energy density (shape) of the spectrum:
(3)
b) According to Wien's Law, how many times hotter is an object whose blackbody emission spectrum peaks in the blue, at a wavelength of 450 nm, than a object whose spectrum peaks in the red, at 700 nm?
It is need it to known the temperature of both objects before doing the comparison. That can be done by means of the Wien’s displacement law.
Equation (2) can be rewrite in terms of T:
(4)
Case for the object with the blackbody emission spectrum peak in the blue:
Before replacing all the values in equation (4), (450 nm) will be express in meters:
⇒
Case for the object with the blackbody emission spectrum peak in the red:
Following the same approach above:
⇒
Comparison:
The object with the blackbody emission spectrum peak in the blue is 1.55 times hotter than the object with the blackbody emission spectrum peak in the red.