CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    A single slit is located effectively at infinity in front of a lens of focal length 1m and it is illuminated normally with light of wavelength 600 nm. The first minima on either side of central maximum are separated by 4 mm. Width of the slit is ......:

    A)  0.1 mm         

    B)         0.2 mm

    C)  0.3 mm         

    D)         0.4 mm

    E)  0.5 mm

    Correct Answer: C

    Solution :

    \[e\sin \theta =\lambda \Rightarrow \sin \theta \approx \theta =\frac{\lambda }{e}\] \[\therefore \]  \[x=f,\theta =f\lambda /e\] \[\therefore \]\[2x=\]separation between minima on either side of central maximum                 \[=\frac{2f\lambda }{e}\] Hence, \[e=\frac{2f\lambda }{2x}=\frac{2\times 1\times 600\times {{10}^{-9}}}{4\times {{10}^{-3}}}=0.3\,mm\]


You need to login to perform this action.
You will be redirected in 3 sec spinner