Answer:
The angle is

Step-by-step explanation:
From the question we are told that
The distance of separation is

The wavelength of light is

Generally the condition for destructive interference is mathematically represented as
![dsin(\theta ) =[m + (1)/(2) ]\lambda](https://img.qammunity.org/2021/formulas/physics/college/8amb4no1q3n6ug129uu21b4nwnltog8s9c.png)
Here m is the order of maxima, first minimum (dark space) m = 0
So
![100 *10^(-6 ) * sin(\theta ) =[0 + (1)/(2) ]600 *10^(-9)](https://img.qammunity.org/2021/formulas/physics/college/nbodcuk3sl2aaip6p20s3jf6nbnv80baiw.png)
=>
![\theta = sin^(-1) [0.003]](https://img.qammunity.org/2021/formulas/physics/college/wc8xb7krmbxvrxpiqdbi2fbqflr5p6lqnf.png)
=>
