Question

Please find the dimension of b. cos[b W/V] where W has the dimension of work and V has the dimension of COS velocity M*LIT O M.LA2/TA2

Please explain all aspects of the question, no idea what it's asking

Answer 1

the question is asking the dimension of b.

In Cos[b*W/V] , b*W/V will be dimensionless because it's equal to angle. and angle has no dimension

b*W/V should be dimensionless.

given

W=[ML²T⁻²]

V= [LT⁻¹]

b*W/V = b*  [ML²T⁻²]/[LT⁻¹] = dimentionless

b*W/V = b* [MLT⁻¹ ] = dimentioless (! have been taken cause 1 have no dimention )

so b= 1/ [MLT⁻¹ ]

b=T/[ML]

First option is correct.