Question #85824

In a youngs slit with a grating if 1 micrometer is used to investigate the specteum a stong yellow line is observed in the first order spectrum at an angle of 36 calculate the wavelength

Expert's answer

Answer to Question #85824, Physics/Other

For constructive interference


dsinθ=mλd \sin \theta = m \lambda


d is the distance between the slit or size of slit=1 micrometer

m is the order of spectrum= First order=1

theta is the angle between the path=36 degree


dsinθm=λ\frac {d \sin \theta}{m} = \lambda1×sin361=λ\frac {1 \times \sin 36}{1} = \lambdaλ=0.58 micrometer\lambda = 0.58 \text{ micrometer}


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