In the equation `x = A sin omegat + Be^(alpha^(2))`, x is length and t its time. Find correct option for the dimensional formula of A, B, C and `omega

Question

In the equation `x = A sin omegat + Be^(alpha^(2))`, x is length and t its time. Find correct option for the dimensional formula of A, B, C and `omega

In the equation `x = A sin omegat + Be^(alpha^(2))`, x is length and t its time. Find correct option for the dimensional formula of A, B, C and `omega`.
A. `[A] = L`
B. `[B] = L`
C. `[C] = T^(-2)`
D. `[omega] = T`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A::B::C
`[x] = [A] [sin omega t] = [B] lfloore^(-alpha^(2)) rfloor`
`rArr [A] = [B] = L`
`[ct^(2)] = M^(0)L^(0)T^(0) = 1`
`[c] = T^(-2)`
`["angle"] = [omega t] = 1`
`[omega] = T^(-1)`

5 views Answered 2023-02-05 15:29