Question

A 2d rectangular lattice has sides of length a and b. (a) does the reciprocal lattice change if the lengths of both sides is doubled?

Answer 1

a) halved

Answer -

area = side x side

So, if the side is halved, then -

new area
= side / 2 x side / 2
= side x side / 4
= area / 4

Hence, the area becomes the quarter of what it was before.

b) doubled

Area = side × side ( x × x = x² )

So, if the side is doubled, then -

new area
= 2x × 2x = 4x²

So, doubling the side length multiplies the area by 4.

Answer 2

the answer is 4.......