S. If a = xm + n.yl; b = x + 1 ym and Solution : c = xl+m.y". L. prove that : am-n. bn-l. cl-m=1
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In physics a drift velocity is the average velocity attained by charged particles, such as electrons, in a material due to an electric field. In general, an electron in a conductor will propagate randomly at the Fermi velocity, resulting in an average velocity of zero. Applying an electric field adds to this random motion a small net flow in one direction; this is the drift.
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We have,
a = xm+n. xl
b = xn+l. xm
c = xl+m. xn
Now,
Considering the L.H.S.,
am-n. bn-l. cl-m
= (xm+n. xl)m-n. (xn+l. xm)n-l. (xl+m. xn)l-m
= [x(m+n)(m-n). xl(m-n)]. [x(n+l)(n-l). xm(n-l)]. [x(l+m)(l-m). xn(l-m)]
= x0
= 1
= R.H.S
- Hence proved.
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