Am sorry what can you be more specific
The amount of work done on the weights would be approximately 15.0 Kg of work
I think that the answer is 7,500.
I’m not sure but i think that.
Answer:
0.629 m
![23.22^{\circ}, 36.26^{\circ}, 52.05^{\circ}, 80.3^{\circ}](https://tex.z-dn.net/?f=23.22%5E%7B%5Ccirc%7D%2C%2036.26%5E%7B%5Ccirc%7D%2C%2052.05%5E%7B%5Ccirc%7D%2C%2080.3%5E%7B%5Ccirc%7D)
Explanation:
For destructive interference we have the case
![sin\theta=\dfrac{m\lambda}{a}](https://tex.z-dn.net/?f=sin%5Ctheta%3D%5Cdfrac%7Bm%5Clambda%7D%7Ba%7D)
m = 1,2,3.....
Frequency is given by
![f=\dfrac{75}{60}=1.25\ Hz](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B75%7D%7B60%7D%3D1.25%5C%20Hz)
Wavelength
![\lambda=\dfrac{v}{f}\\\Rightarrow \lambda=\dfrac{15.5}{1.25}\\\Rightarrow \lambda=12.4\ cm](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7Bv%7D%7Bf%7D%5C%5C%5CRightarrow%20%5Clambda%3D%5Cdfrac%7B15.5%7D%7B1.25%7D%5C%5C%5CRightarrow%20%5Clambda%3D12.4%5C%20cm)
The angle
![\theta=tan^{-1}\dfrac{0.623}{3.1}\\\Rightarrow \theta=11.36^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3Dtan%5E%7B-1%7D%5Cdfrac%7B0.623%7D%7B3.1%7D%5C%5C%5CRightarrow%20%5Ctheta%3D11.36%5E%7B%5Ccirc%7D)
The width is
![a=\dfrac{\lambda}{sin\theta}\\\Rightarrow a=\dfrac{0.124}{sin11.36}\\\Rightarrow a=0.629\ m](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B%5Clambda%7D%7Bsin%5Ctheta%7D%5C%5C%5CRightarrow%20a%3D%5Cdfrac%7B0.124%7D%7Bsin11.36%7D%5C%5C%5CRightarrow%20a%3D0.629%5C%20m)
The width of the hole is 0.629 m
For destructive interference
![sin\theta_2=\dfrac{2\lambda}{a}\\\Rightarrow \theta_2=sin^{-1}\dfrac{2\times 0.124}{0.629}\\\Rightarrow \theta_2=23.22^{\circ}](https://tex.z-dn.net/?f=sin%5Ctheta_2%3D%5Cdfrac%7B2%5Clambda%7D%7Ba%7D%5C%5C%5CRightarrow%20%5Ctheta_2%3Dsin%5E%7B-1%7D%5Cdfrac%7B2%5Ctimes%200.124%7D%7B0.629%7D%5C%5C%5CRightarrow%20%5Ctheta_2%3D23.22%5E%7B%5Ccirc%7D)
![\theta_3=sin^{-1}\dfrac{3\times 0.124}{0.629}\\\Rightarrow \theta_3=36.26^{\circ}](https://tex.z-dn.net/?f=%5Ctheta_3%3Dsin%5E%7B-1%7D%5Cdfrac%7B3%5Ctimes%200.124%7D%7B0.629%7D%5C%5C%5CRightarrow%20%5Ctheta_3%3D36.26%5E%7B%5Ccirc%7D)
![\theta_4=sin^{-1}\dfrac{4\times 0.124}{0.629}\\\Rightarrow \theta_4=52.05^{\circ}](https://tex.z-dn.net/?f=%5Ctheta_4%3Dsin%5E%7B-1%7D%5Cdfrac%7B4%5Ctimes%200.124%7D%7B0.629%7D%5C%5C%5CRightarrow%20%5Ctheta_4%3D52.05%5E%7B%5Ccirc%7D)
![\theta_5=sin^{-1}\dfrac{5\times 0.124}{0.629}\\\Rightarrow \theta_5=80.3^{\circ}](https://tex.z-dn.net/?f=%5Ctheta_5%3Dsin%5E%7B-1%7D%5Cdfrac%7B5%5Ctimes%200.124%7D%7B0.629%7D%5C%5C%5CRightarrow%20%5Ctheta_5%3D80.3%5E%7B%5Ccirc%7D)
The angles are ![23.22^{\circ}, 36.26^{\circ}, 52.05^{\circ}, 80.3^{\circ}](https://tex.z-dn.net/?f=23.22%5E%7B%5Ccirc%7D%2C%2036.26%5E%7B%5Ccirc%7D%2C%2052.05%5E%7B%5Ccirc%7D%2C%2080.3%5E%7B%5Ccirc%7D)