# Is #y=(2m)*cos(k*x)# dimensionally correct, where #k = 2m^-1#?

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This question is from Chapter 1.4, "Dimensional Analysis" of Serway's Physics (4th Edition). It comes from homework problem 13.b

This question is from Chapter 1.4, "Dimensional Analysis" of Serway's Physics (4th Edition). It comes from homework problem 13.b

##### 1 Answer

Mar 18, 2016

#### Answer:

No, it is not dimensionally correct.

#### Explanation:

Let

Let

Let

Letting the dimensions absorb the constants, we have

This puts units inside of a cosine function. However, a cosine function will simply output a non-dimensional value between