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A glass prism with a refracting angle of \( 60^{\circ} \) has a refractive index \( 1.52 \) for red and \( 1.6 \) for violet light. A parallel beam of white light is incident on one face at an angle of incidence, which gives minimum deviation for red light. Find :
the length of the spectrum if it is focussed on a screen by lens of focal length \( 100 \mathrm{~cm} \).
[Use: \( \left.\sin \left(49.7^{\circ}\right)=0.760 ; \sin \left(31.6^{\circ}\right)=0.520 ; \sin \left(28.4^{\circ}\right)=0.475 ; \sin \left(56^{\circ}\right)=0.832 ;=22 / 7\right] \)
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