Question

Equation y=2asinkx cost(in metres) where a and x are in metres , is angular frequency. What is the dimensional formula of a/k?

Answer 1

Answer:

The dimensional formula for 'k' can be obtained in two ways.

First method:

As (ωt - kx) is an angle, it has to be dimensionless. So, kx should be dimensionless.

Hence, the dimensions of k = 1/dimensions of x

Therefore, [k] = L-1

Second method: Dimension of ωt = dimension of kx

begin mathsize 12px style therefore straight k equals ωt over straight x equals fraction numerator straight T to the power of negative 1 end exponent straight T over denominator straight L end fraction equals straight L to the power of negative 1 end exponent end style

Step-by-step explanation: