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AP EAMCET201822 Apr 2018Evening ShiftPhysicsRay OpticsActual

As shown in the figure, a parallel beam of light incidents on the upper part of a prism of angle 1.8^ and material of refractive index 1.5. The light emerging out from the prism falls on a concave mirror of radius of curvature 40 ~cm . This distance of the point from the principal axis of the mirror where the light rays are focussed after reflection from the mirror is

Options

  1. A4.76 cm
  2. B1.57 mm
  3. C3.14 mm
  4. D6.28 mm

Correct answer

B. 1.57 mm

Step-by-step solution

Parallel beam is deviated by prism by angle, aligned & =( -1) A=(1.5-1) 1.8^ =0.9^ & =0.9^ 180^ radian aligned This beam from prism is also parallel and is converged at a point in focal plane by concave mirror. Distance, aligned x & =F = R 2 = 20 2 0.9^ 180^ & =0.157 ~cm =1.57 ~mm aligned

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