Sorry to say but I know that t(e introduction is first and the coda is last
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of n is 
Explanation:
From the question we are told that
The value of m = 2
For every value of 
The modified version of Balmer's formula is ![\frac{1}{\lambda} = R [\frac{1}{m^2} - \frac{1}{n^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%7D%20%20%3D%20R%20%5B%5Cfrac%7B1%7D%7Bm%5E2%7D%20-%20%5Cfrac%7B1%7D%7Bn%5E2%7D%20%20%5D)
The Rydberg constant has a value of 
The objective of this solution is to obtain the value of n for which the wavelength of the Balmer series line is smaller than 400nm
For m = 2 and n =3
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{3^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B3%5E2%7D%20%20%5D)


For m = 2 and n = 4
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{4^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B4%5E2%7D%20%20%5D)


For m = 2 and n = 5
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{5^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B5%5E2%7D%20%20%5D)


For m = 2 and n = 6
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{6^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B6%5E2%7D%20%20%5D)


For m = 2 and n = 7
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{7^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B7%5E2%7D%20%20%5D)


So the value of n is 7
Answer:
Explanation:
Given
diameter 
runner start at (x,y)=(48 m,0 m)
Runner runs around the circle 2.5 times
i.e. he runs two and half rounds
displacement of two rounds is zero so net displacement is of half round
displacement 
After 2.5 round he will be towards west direction with respect to origin
so direction of displacement vector is west