A parallel beam is incident on to a lens of focal length \(f\) (positive), parallel to its principal axis. A thin prism of vertex angle \(A\) and refractive index \(\mu\) is inserted in the path of the parallel beam before it falls on the lens. The focal point of the image:
1.
remains unchanged
2.
is displaced along \(+y\) by \((\mu-1)Af\)
3.
is displaced along \(-y\) by \((\mu-1)Af\)
4.
is displaced along \(+x\) by \((\mu-1)Af\)
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Two identical equilateral triangular prisms, each of which gives a minimum deviation of \(60^{\circ}\) are taken: call these prisms \(A,B\). These are placed as shown in the figure, and a ray of light is incident on prism \(A\) at minimum deviation. Now prism \(B\) is cut in half, along the dotted line, and the right half is removed. The deviation of the emerging ray is:
1.
\(90^{\circ}\)
2.
\(45^{\circ}\)
3.
\(60^{\circ}\)
4.
\(30^{\circ}\)
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A ray of light is incident normally onto the surface \(AB\) of a right-angled prism \({ABC}\)\((\angle B=90^\circ)\) and emerges from the surface \({AC}.\) The refractive index of the material of the prism is \((\mu = \sqrt 2).\)
The ray undergoes a deviation of:
1. \(15^\circ\)
2. \(30^\circ\)
3. \(45^\circ\)
4. \(60^\circ\)
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