Respuesta :
Answer:
10 m/s
Explanation:
Given:
Amplitude of atomic vibrations (λ) = 10⁻⁹ cm = 10⁻⁹ × 10⁻² m = 10⁻¹¹ m [1 cm = 10⁻² m]
Frequency of the vibrations (f) = 10¹² Hz
In order to find the atom's maximum speed, we need to make use of the formula that relates speed, frequency and wavelength of the vibration.
Therefore, the formula for maximum speed is given as:
[tex]v=f\lambda[/tex]
Now, plug in the values given and solve for speed 'v'. This gives,
[tex]v=(10^{12}\ Hz)(10^{-11}\ m)\\\\v=10^{12-11}\ m/s\\v=10\ m/s[/tex]
Therefore, the atom's maximum speed due to thermal energy provided is 10 m/s.
Velocity is the rate of change of position of an object. The velocity of the atoms is 10 m/s.
What is velocity?
The velocity of the rate of change of position of an object with respect to time.
Given to us
Amplitude of the atoms, λ = 10⁻⁹ cm = 10⁻⁹ × 10⁻² m = 10⁻¹¹ m
Frequency of the atoms, f = 10¹² Hz
We know that there is a relationship between velocity, frequency, and amplitude.
[tex]v = f \lambda[/tex]
substitute the values,
[tex]v = 10^{12}\times 10^{-11}\\\\v = 10\ \rm \ m/s^2[/tex]
Hence, the velocity of the atoms is 10 m/s.
Learn more about Velocity:
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