In a relation F = a ,sin, k_1x + b ,sin, k_2t | vedclass

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Question

Vedclass · Accepted Answer

$meter ^{-1}, s ^{-1}$

Vedclass · Answer

Using principle of dimensional homogeneity,

$| F |=\left|a \sin k_1 x\right|=\left|b \sin k_2 T \right|$

Since arguments can't have units, thus, $\left|k_1 x\right|=\left|k_2 T\right|=M^0 L^0 T^0$

Thus, $\left| k _1\right|= L ^{-1}$ and $\left| k _2\right|= T ^{-1}$

Thus units will be $k _1-$ metre $^{-1}$ and $k _2- s ^{-1}$.

In a relation $F = a \,sin\, k_1x + b \,sin\, k_2t$ where $F , x$ and $T$ denote the force,distance and time respectively. Units of $k _{1}$ and $k _{2}$ are respectively

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