Question

In equation y = x2 cos2 2π (βγ/α) , the units of x, α , β are m , s-1 ans (ms-1)-1 respectively. The units of y and γ are ....?

Read 1 Solution.

Since trigonometric functions have no dimension, unit of y = unit of x2. Thus unit of y is m2

Now the argument of a trigonometric function must also be dimensionless.

Hence unit of βγ = unit of α.

Thus unit of γ = unit of β/α = s-1/(ms-1)-1  = ms-2

Best SolutionAKSHAY TIWARY 10 year ago is this solution helpfull: 166 82

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