So we know that the angular separation between the bright fringes on the Brian the bright fringe in the middle is given by this equation on Does angular separation between dark fringes and the bright fringe inimitable is given by dis equation eso in the question we know the ah wavelength and we know the distance between the two slits eso we can use for the first part for part A. We want to find out what is that angle that locates the dark French for M equals zero. So I'm going to use a sign off data equal to M plus 1/2 times Lambda over deep eso to find, um, Tatum, I need to say here, Tate icicle too in verse sign of M plus 1/2 divided by d times Lambda So em is equal to zero. Lambda is equal to 529 a meter, and D is equal to, um 1.4 times 10 to the minus six. So data would be equal to invest Sign Uh uh. 520 divided by two times 1.4 times 10 to the minus six. So, at the same time, This is not a 529 immunity. I multiplied by 10 to the minus nine to convert it to meet her. And then from here, we can get Tate out to be equal to 10 point seven degrees. Uh, for the next part, we want to find the angle of the bright fringe for em equal one eso Because this is a bright fringe. I'm going to use this equation. So here I say, sign up. Potato is equal to, uh, m lambda over D. So Tate A is a quality use in versus sign of m lambda over D. So if every substitute, all the values we get Scient, Ada, we get take bicycle too. Sine inverse ah of one times 520 times 10 to the minus nine. Divided by 1.4 times 10 to the minus six. And from here, we get data to be to any one point eight degrees for the next part of you want to find? Ah, the angle off the dark friend for M equals one. So again, Tater is a call to sign in verse off M plus 1/2 times. Lambda over. Dean and this is a call to ah sine inverse of 11 plus 1/2. Ah, three over to multiply by 520 times talk attend to the minus nine, divided by 1.4 times 10 to the minus six. And then this is equal to 33 point um 80 six agrees and then the last part. We want to find the angle off the bright French for m equals to So Tate A is ah sign converse of in Lambda over d on because any stewardesses sense sine inverse off to times 520 times 10 to the minus nine. Divided by 1.4 times 10 to the minus six. Andi From here Tater is equal to 47 point 97 vigorous.