Question

The equation of a wave is y = a sin (At – Bx + C), where A, B and C are constants. The dimensions of A, B and C are respectively-

• A. $\lbrack T\rbrack\text{, }\lbrack L\rbrack\text{, }\lbrack M^{0}\text{ }\text{L}^{0}\text{ }\text{T}^{0}\rbrack$
• B. [T], [L], [M]
• C. $\lbrack\text{T}\text{ }^{\text{-1}}\rbrack\text{, }\lbrack L^{\text{-1}}\rbrack\text{, }\lbrack M^{\text{ -1}}\rbrack$
• D. $\lbrack\text{T}\text{ }^{\text{-1}}\rbrack\text{, }\lbrack L^{\text{-1}}\rbrack\text{, }\lbrack M^{0}\text{ }\text{L}^{0}\text{ }\text{T}^{0}\rbrack$

Answer 1

Answer: (D)

$\lbrack\text{T}\text{ }^{\text{-1}}\rbrack\text{, }\lbrack L^{\text{-1}}\rbrack\text{, }\lbrack M^{0}\text{ }\text{L}^{0}\text{ }\text{T}^{0}\rbrack$

Answer 2

Angle is always dimensionless