Maximum Bright Fringes for Double Slit Experiment

[Starrrrr]

Homework Statement

At most, how many bright fringes can be formed on either side of the central bright fringe when light of wavelength 644 nm falls on a double slit whose slit separation is 3.64 × 10-6 m?

Homework Equations

m=dsintheta/lamdba

The Attempt at a Solution

m=(3.64x10e-6)(1)/644x10e-9) = 5.65 which is 6 bright fringes right but the system telling me it's wrong?[/B]

 

[blue_leaf77]

What is the width of each slit? Without this information your question cannot be answered.

 

[Starrrrr]

That's the full question.

 

[ehild]

Homework Statement

At most, how many bright fringes can be formed on either side of the central bright fringe when light of wavelength 644 nm falls on a double slit whose slit separation is 3.64 × 10-6 m?

Homework Equations

m=dsintheta/lamdba

The Attempt at a Solution

m=(3.64x10e-6)(1)/644x10e-9) = 5.65 which is 6 bright fringes right but the system telling me it's wrong?[/B]

Can the 6th fringe form?

 

[Starrrrr]

Can the 6th fringe form?

I'm not sure so I'm guessing no

 

[haruspex]

5.65 which is 6 bright fringes

Last time I checked, 5.65<6.

 

[ehild]

I'm not sure so I'm guessing no

What would be sin(θ) at the 6th fringe? Is it possible?

 

[Barbie Voss]

The brightness fringe should not be rounded from the equation. so yes the answer from the equation is 5.65. Which makes the greatest fringe 5 not 6.