Answer:
![Y = 2.27 \times 10^{10} N/m^2](https://tex.z-dn.net/?f=Y%20%3D%202.27%20%5Ctimes%2010%5E%7B10%7D%20N%2Fm%5E2)
Explanation:
Natural length of the string is given as
![L_o = 43 cm](https://tex.z-dn.net/?f=L_o%20%3D%2043%20cm)
length of the string while block is hanging on it
![L = 53 cm](https://tex.z-dn.net/?f=L%20%3D%2053%20cm)
extension in length is given as
![\Delta L = 10 cm](https://tex.z-dn.net/?f=%5CDelta%20L%20%3D%2010%20cm)
now we have strain in the string is given as
![strain = \frac{\Delta L}{L}](https://tex.z-dn.net/?f=strain%20%3D%20%5Cfrac%7B%5CDelta%20L%7D%7BL%7D)
![strain = \frac{{10 cm}{43 cm}](https://tex.z-dn.net/?f=strain%20%3D%20%5Cfrac%7B%7B10%20cm%7D%7B43%20cm%7D)
![strain = 0.23](https://tex.z-dn.net/?f=strain%20%3D%200.23)
similarly we will have cross-sectional area of the string is given as
![A = 40 \times 10^{-6} m^2](https://tex.z-dn.net/?f=A%20%3D%2040%20%5Ctimes%2010%5E%7B-6%7D%20m%5E2)
now the stress in the string is given as
![Stress = \frac{T}{A}](https://tex.z-dn.net/?f=Stress%20%3D%20%5Cfrac%7BT%7D%7BA%7D)
![Stress = \frac{mg}{A}](https://tex.z-dn.net/?f=Stress%20%3D%20%5Cfrac%7Bmg%7D%7BA%7D)
![Stress = \frac{3.7 \times 9.81}{40 \times 10^{-6}}](https://tex.z-dn.net/?f=Stress%20%3D%20%5Cfrac%7B3.7%20%5Ctimes%209.81%7D%7B40%20%5Ctimes%2010%5E%7B-6%7D%7D)
![stress = 9.07 \times 10^5 N/m^2](https://tex.z-dn.net/?f=stress%20%3D%209.07%20%5Ctimes%2010%5E5%20N%2Fm%5E2)
Now Young's Modulus is given as
![Y = \frac{stress}{strain}](https://tex.z-dn.net/?f=Y%20%3D%20%5Cfrac%7Bstress%7D%7Bstrain%7D)
![Y = \frac{9.07 \times 10^5}{40\times 10^{-6}}](https://tex.z-dn.net/?f=Y%20%3D%20%5Cfrac%7B9.07%20%5Ctimes%2010%5E5%7D%7B40%5Ctimes%2010%5E%7B-6%7D%7D)
![Y = 2.27 \times 10^{10} N/m^2](https://tex.z-dn.net/?f=Y%20%3D%202.27%20%5Ctimes%2010%5E%7B10%7D%20N%2Fm%5E2)
Answer:
An Isaac is any person or thing that we need to release to God. If you're like me, once I identified my Isaacs, I did not willingly obey the call to offer them to God. Isaac name is derived from the Hebrew יִצְחָק (Yitzhak), the name Isaac means “one who laughs” or “one who rejoices.” In the Old Testament of the Bible, Isaac is the firstborn son of Abraham. He is one of the three biblical patriarchs revered by Jews, Christians, and Muslims. ... Gender: Isaac is traditionally a masculine name.
Is there a list of answers you can choose from?
Answer:
Wavelength of the light is 750 nm.
Explanation:
Given that,
Spacing between the lines, ![d=2000\ nm=2\times 10^{-6}\ m](https://tex.z-dn.net/?f=d%3D2000%5C%20nm%3D2%5Ctimes%2010%5E%7B-6%7D%5C%20m)
Order of the grating, n = 2
The second order is formed at an angle of 48.5°. The equation of diffraction grating is given by :
![d\ sin\theta=n\lambda](https://tex.z-dn.net/?f=d%5C%20sin%5Ctheta%3Dn%5Clambda)
![\lambda=\dfrac{d\ sin\theta}{n}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7Bd%5C%20sin%5Ctheta%7D%7Bn%7D)
![\lambda=\dfrac{2\times 10^{-6}\times sin(48.5)}{2}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B2%5Ctimes%2010%5E%7B-6%7D%5Ctimes%20sin%2848.5%29%7D%7B2%7D)
![\lambda=7.48\times 10^{-7}\ m](https://tex.z-dn.net/?f=%5Clambda%3D7.48%5Ctimes%2010%5E%7B-7%7D%5C%20m)
![\lambda=748\ nm](https://tex.z-dn.net/?f=%5Clambda%3D748%5C%20nm)
or
![\lambda=750\ nm](https://tex.z-dn.net/?f=%5Clambda%3D750%5C%20nm)
So, the wavelength of the light is 750 nm. Hence, this is the required solution.