In the equation $\frac{dy}{dt} = 2\omega \sin(\omega t + \theta_0)$,what are the dimensions of $(\omega t + \theta_0)$?
- A$M^{1}L^{1}T^{1}$
- B$M^{1}L^{1}T^{0}$
- C$M^{1}L^{0}T^{0}$
- D$M^{0}L^{0}T^{0}$
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View SolutionMatch Column-$1$ with Column-$2$.
Column-$1$ Column-$2$ $(a)$ Wave vector $(i)$ $M^1L^0T^{-3}$ $(b)$ Linear mass density $(ii)$ $M^1L^{-1}T^{-2}$ $(c)$ Intensity of a wave $(iii)$ $M^0L^{-1}T^0$ $(d)$ Volume elasticity coefficient $(iv)$ $M^1L^{-1}T^0$
| Column-$1$ | Column-$2$ |
| $(a)$ Wave vector | $(i)$ $M^1L^0T^{-3}$ |
| $(b)$ Linear mass density | $(ii)$ $M^1L^{-1}T^{-2}$ |
| $(c)$ Intensity of a wave | $(iii)$ $M^0L^{-1}T^0$ |
| $(d)$ Volume elasticity coefficient | $(iv)$ $M^1L^{-1}T^0$ |
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View SolutionMatch the following two columns:
Column-$I$ Column-$II$ $(A)$ Electrical resistance $(p)$ $M L^3 T^{-3} A^{-2}$ $(B)$ Electrical potential $(q)$ $M L^2 T^{-3} A^{-2}$ $(C)$ Specific resistance $(r)$ $M L^2 T^{-3} A^{-1}$ $(D)$ Specific conductance $(s)$ None of these
| Column-$I$ | Column-$II$ |
|---|---|
| $(A)$ Electrical resistance | $(p)$ $M L^3 T^{-3} A^{-2}$ |
| $(B)$ Electrical potential | $(q)$ $M L^2 T^{-3} A^{-2}$ |
| $(C)$ Specific resistance | $(r)$ $M L^2 T^{-3} A^{-1}$ |
| $(D)$ Specific conductance | $(s)$ None of these |
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