Answer:


Explanation:
From the question we are told that
The number of slits per cm is k = 
The order of the maxima is n = 1
The wavelength are 
The spacing between the slit is mathematically represented as

=> 
=> 
Generally the condition for constructive interference is

At 
![\theta _1 = sin^{-1} [ \frac{1 * 434 *10^{-9}}{6.211 *10^{-5}} ]](https://tex.z-dn.net/?f=%5Ctheta%20_1%20%20%3D%20%20sin%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%20%20%2A%20%20434%20%2A10%5E%7B-9%7D%7D%7B6.211%20%2A10%5E%7B-5%7D%7D%20%5D)

At 
![\theta _2 = sin^{-1} [ \frac{1 * 410 *10^{-9}}{6.211 *10^{-5}} ]](https://tex.z-dn.net/?f=%5Ctheta%20_2%20%20%3D%20%20sin%5E%7B-1%7D%20%5B%20%5Cfrac%7B1%20%20%2A%20%20410%20%2A10%5E%7B-9%7D%7D%7B6.211%20%2A10%5E%7B-5%7D%7D%20%5D)

Answer: 0.24g/ml
Explanation:
Given that:
Volume of water displaced = 23.5 ml
Mass of cork = 5.7 g
Density of the cork = ?
Recall that density is obtained by dividing the mass of a substance by the volume of water displaced.
i.e Density = Mass/volume
Density = 5.7g /23.5ml
Density = 0.24g/ml
Thus, the density of the piece of cork is 0.24g/ml