V (speed) = F (frequency) x Wavelength
If we rearrange the formula, making frequency the subject;
F (frequency) = Speed ÷ Wavelength
F = 300,000 m\s x 4.5 e -10m
F = 0.08810409956 Hz
Answer:
2.8 cm
Explanation:
= Separation between two first order diffraction minima = 1.4 cm
D = Distance of screen = 1.2 m
m = Order
Fringe width is given by
![\beta_1=\dfrac{y_1}{2}\\\Rightarrow \beta_1=\dfrac{1.4}{2}\\\Rightarrow \beta_1=0.7\ cm](https://tex.z-dn.net/?f=%5Cbeta_1%3D%5Cdfrac%7By_1%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cbeta_1%3D%5Cdfrac%7B1.4%7D%7B2%7D%5C%5C%5CRightarrow%20%5Cbeta_1%3D0.7%5C%20cm)
Fringe width is also given by
![\beta_1=\dfrac{m_1\lambda D}{d}\\\Rightarrow d=\dfrac{m_1\lambda D}{\beta_1}](https://tex.z-dn.net/?f=%5Cbeta_1%3D%5Cdfrac%7Bm_1%5Clambda%20D%7D%7Bd%7D%5C%5C%5CRightarrow%20d%3D%5Cdfrac%7Bm_1%5Clambda%20D%7D%7B%5Cbeta_1%7D)
For second order
![\beta_2=\dfrac{m_2\lambda D}{d}\\\Rightarrow \beta_2=\dfrac{m_2\lambda D}{\dfrac{m_1\lambda D}{\beta_1}}\\\Rightarrow \beta_2=\dfrac{m_2}{m_1}\beta_1](https://tex.z-dn.net/?f=%5Cbeta_2%3D%5Cdfrac%7Bm_2%5Clambda%20D%7D%7Bd%7D%5C%5C%5CRightarrow%20%5Cbeta_2%3D%5Cdfrac%7Bm_2%5Clambda%20D%7D%7B%5Cdfrac%7Bm_1%5Clambda%20D%7D%7B%5Cbeta_1%7D%7D%5C%5C%5CRightarrow%20%5Cbeta_2%3D%5Cdfrac%7Bm_2%7D%7Bm_1%7D%5Cbeta_1)
Distance between two second order minima is given by
![y_2=2\beta_2](https://tex.z-dn.net/?f=y_2%3D2%5Cbeta_2)
![\\\Rightarrow y_2=2\dfrac{m_2}{m_1}\beta_1\\\Rightarrow y_2=2\dfrac{2}{1}\times 0.7\\\Rightarrow y_2=2.8\ cm](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%20y_2%3D2%5Cdfrac%7Bm_2%7D%7Bm_1%7D%5Cbeta_1%5C%5C%5CRightarrow%20y_2%3D2%5Cdfrac%7B2%7D%7B1%7D%5Ctimes%200.7%5C%5C%5CRightarrow%20y_2%3D2.8%5C%20cm)
The distance between the two second order minima is 2.8 cm
Answer: The principle of conservation of energy, angular speed and centripetal force
Explanation:
At point A, the car experienced maximum of potential energy
As it moves down the hill, the potential energy decreases while the kinetic energy increases.
The maximum kinetic energy of the car is needed for the attainment of enough centripetal force to help the car move through the loop without falling .