pleaase help me with this,
i'm very bad in physics, and i mostly don't understand any of this stuff...can anyone explain as well as show me how to do this
Monochromatic light from a helium-neon laser (wavelength=632.8 nm) shines at a right angle onto the surface of a diffraction grating that contains 130 960 lines/m. Find the angle at which one would observe the first-order maximum
Thank you VERY much! =]
I know this is in your text. Are you studying your text, going through the examples? From your questions, I get the impression your are not, just looking for formulas to plug and compute. Physics is much more gedunken that that.
d * sinTheta= m * lambda
where d is line spacing (1/130860), m is the order (m-1 here).
Sure, I'd be happy to help! To find the angle at which one would observe the first-order maximum in this diffraction grating problem, you can use the equation for the angle of diffraction:
sin(θ) = m * λ / d
Where:
- θ is the angle of diffraction
- m is the order of the maximum (in this case, m = 1 for the first-order maximum)
- λ is the wavelength of the light
- d is the spacing between the lines on the diffraction grating
First, we need to convert the wavelength from nanometers (nm) to meters (m) by dividing it by 1 billion (10^9):
632.8 nm = 632.8 * 10^-9 m
Next, we can substitute the values into the equation:
sin(θ) = 1 * (632.8 * 10^-9 m) / (130960 lines/m)
Since the problem states that the light is shining at a right angle onto the surface of the diffraction grating, the angle of diffraction (θ) is the same as the angle at which the first-order maximum is observed.
Now, let's solve for θ.