The equation of a wave is given by $Y=A\mathrm{sin}\omega \left(\frac{x}{v}-k\right)$ where $\omega$ is the angular velocity, x is length and $v$ is the linear velocity. The dimension of k is

(1) LT

(2) T

(3) ${T}^{-1}$

(4) T2

Concept Questions :-

Dimensions
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Dimensional formula of stress is

(1) ${M}^{0}L{T}^{-2}$

(2) ${M}^{0}{L}^{-1}{T}^{-2}$

(3) $M{L}^{-1}{T}^{-2}$

(4) $M{L}^{2}{T}^{-2}$

Concept Questions :-

Dimensions
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Dimensional formula of velocity of sound is

(1) ${M}^{0}L{T}^{-2}$

(2) $L{T}^{0}$

(3) ${M}^{0}L{T}^{-1}$

(4) ${M}^{0}{L}^{-1}{T}^{-1}$

Concept Questions :-

Dimensions
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Dimensional formula of capacitance is

(1) ${M}^{-1}{L}^{-2}{T}^{4}{A}^{2}$

(2) $M{L}^{2}{T}^{4}{A}^{-2}$

(3) $ML{T}^{-4}{A}^{2}$

(4) ${M}^{-1}{L}^{-2}{T}^{-4}{A}^{-2}$

Concept Questions :-

Dimensions
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$ML{T}^{-1}$ represents the dimensional formula of

(1) Power

(2) Momentum

(3) Force

(4) Couple

Concept Questions :-

Dimensions
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Dimensional formula of heat energy is

(1) $M{L}^{2}{T}^{-2}$

(2) $ML{T}^{-1}$

(3) ${M}^{0}{L}^{0}{T}^{-2}$

(4) None of these

Concept Questions :-

Dimensions
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If C and L denote capacitance and inductance respectively, then the dimensions of LC are

(1) ${M}^{0}{L}^{0}{T}^{0}$

(2) ${M}^{0}{L}^{0}{T}^{2}$

(3) ${M}^{2}{L}^{0}{T}^{2}$

(4) $ML{T}^{2}$

Concept Questions :-

Dimensions
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Which of the following quantities has the same dimensions as that of energy

(1) Power

(2) Force

(3) Momentum

(4) Work

Concept Questions :-

Dimensions
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The dimensions of "time constant" $\frac{L}{R}$ during growth and decay of current in all inductive circuit is same as that of

(1) Constant

(2) Resistance

(3) Current

(4) Time

Concept Questions :-

Dimensions
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The period of a body under SHM i.e. presented by $T={P}^{a}{D}^{b}{S}^{c}$; where P is pressure, D is density and S is surface tension. The value of a, b and c are

(1) $-\frac{3}{2},\text{\hspace{0.17em}}\frac{1}{2},\text{\hspace{0.17em}}1$

(2) $-1,\text{\hspace{0.17em}}-2,\text{\hspace{0.17em}}3$

(3) $\frac{1}{2},\text{\hspace{0.17em}}-\frac{3}{2},\text{\hspace{0.17em}}-\frac{1}{2}$

(4) $1,\text{\hspace{0.17em}}2,\text{\hspace{0.17em}}\frac{1}{3}$

Concept Questions :-

Dimensions
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