plz solve it...to be a brainliest and also tell me the meaning of that symbol "₩"
Answers
oi...
c... ur studying dimensions and for this u nned to know dimensional analysis...
y= a cos(ωt-kx) [is a wave equation] .. used to spit out a value which defines the position of a particular particle in wave motion]
y is a number.... its unit is length.... and so is a(amplitude)
y/a => length / length =1 (unity) dimensionless// (M0L0T0) or constant
we have then 1=cos(ωt-kx)
again arc cos(1) = constant so we have (in terms of dimensions beware) not the actual value
(ωt-kx) = 1
so we need to understand that when the difference or addition of two quantities is unit(or constant) both the quantities need to have the same unit...
kx = wt.. (because 1 is dimensionless)
and furthermore
k = wt/x and x is angular velocity whose units are time inverse which cancel out time...
we are left only with 1/x whose dimensions are length inverse so we get
k=(M0L-1T0)
understooood? ..... gr8
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cheers