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VIZAG MT Mechanical: 2015 Official Paper

Option 2 : \(\frac{{1}}{{6}}, \frac{{1}}{{3}}~and~\frac{{1}}{{2}}\) units

ST 1: General Awareness

6945

15 Questions
15 Marks
15 Mins

__Concept:__

- Miller indices are the styles to designate the planes and directions in the unit cells and crystals.
- Miller indices (hkl) are expressed as a reciprocal of intercepts p, q, and r made by the plane on the three rectangular axes x, y, and z respectively.
- These are the unit distances from the origin along the three axes. Thus

\(h=\frac{1}{p},~k=\frac{1}{q},~l=\frac{1}{r}\)

Where p = intercept of the plane on the x-axis, q = intercept of the plane on the y-axis, and r = intercept of the plane on the z-axis.

**Calculation:**

**Given:**

Miller indices of a plane = (632)

Since, Miller indices are obtained by reciprocal of intercept p, q, and r made by the plane on the three rectangular axes x, y, and z respectively. Hence the reciprocal of miller indices will give the intercepts.

Distances from the origin to points at which the plane intersects = \(\frac{{1}}{{6}}, \frac{{1}}{{3}}~and~\frac{{1}}{{2}}\) units