367340 The position \(x\) of a particle at time " \(t\) " is given by \(x=\dfrac{v_{0}}{a}\left(1-e^{-a t}\right)\). Where \(v_{0}\) is a constant and \(a>0\).
The dimensions of \(v_{0}\) and \(a\) are:

367341 If \({x, y}\) and \({z}\) are some physical quantities and \({[x y]=[z]}\), then which of the following is meaningful?

367342 Energy \((E)\) is expressed in terms of mass \((m),\) distance \((x)\) and time \((t)\) as \(E=a x+\dfrac{t^{2} \sqrt{b}}{m}\).If the dimensions of \(\dfrac{b}{a}\) is \(\left[ {{M^p}{L^q}{T^r}} \right],\) then \(\mathrm{p}+\mathrm{q}+\mathrm{r}=\)

367343 Let \(x = \pi R\left( {\frac{{{P^2} - {Q^2}}}{2}} \right)\) , where \(P\), \(Q\), \(R\) are lengths. The physical quantity of \(x\) is

367344 The equation of state of some gases can be expressed as \(\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = RT.\) Here \(P\) is the pressure, \(V\) is the volume, \(T\) is the absolute temperature and \(a\), \(b\), \(R\) are constants. The dimensions of ‘\(a\)’ are

367340 The position \(x\) of a particle at time " \(t\) " is given by \(x=\dfrac{v_{0}}{a}\left(1-e^{-a t}\right)\). Where \(v_{0}\) is a constant and \(a>0\).
The dimensions of \(v_{0}\) and \(a\) are:

367341 If \({x, y}\) and \({z}\) are some physical quantities and \({[x y]=[z]}\), then which of the following is meaningful?

367342 Energy \((E)\) is expressed in terms of mass \((m),\) distance \((x)\) and time \((t)\) as \(E=a x+\dfrac{t^{2} \sqrt{b}}{m}\).If the dimensions of \(\dfrac{b}{a}\) is \(\left[ {{M^p}{L^q}{T^r}} \right],\) then \(\mathrm{p}+\mathrm{q}+\mathrm{r}=\)

367343 Let \(x = \pi R\left( {\frac{{{P^2} - {Q^2}}}{2}} \right)\) , where \(P\), \(Q\), \(R\) are lengths. The physical quantity of \(x\) is

367344 The equation of state of some gases can be expressed as \(\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = RT.\) Here \(P\) is the pressure, \(V\) is the volume, \(T\) is the absolute temperature and \(a\), \(b\), \(R\) are constants. The dimensions of ‘\(a\)’ are

367340 The position \(x\) of a particle at time " \(t\) " is given by \(x=\dfrac{v_{0}}{a}\left(1-e^{-a t}\right)\). Where \(v_{0}\) is a constant and \(a>0\).
The dimensions of \(v_{0}\) and \(a\) are:

367341 If \({x, y}\) and \({z}\) are some physical quantities and \({[x y]=[z]}\), then which of the following is meaningful?

367342 Energy \((E)\) is expressed in terms of mass \((m),\) distance \((x)\) and time \((t)\) as \(E=a x+\dfrac{t^{2} \sqrt{b}}{m}\).If the dimensions of \(\dfrac{b}{a}\) is \(\left[ {{M^p}{L^q}{T^r}} \right],\) then \(\mathrm{p}+\mathrm{q}+\mathrm{r}=\)

367343 Let \(x = \pi R\left( {\frac{{{P^2} - {Q^2}}}{2}} \right)\) , where \(P\), \(Q\), \(R\) are lengths. The physical quantity of \(x\) is

367344 The equation of state of some gases can be expressed as \(\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = RT.\) Here \(P\) is the pressure, \(V\) is the volume, \(T\) is the absolute temperature and \(a\), \(b\), \(R\) are constants. The dimensions of ‘\(a\)’ are

367340 The position \(x\) of a particle at time " \(t\) " is given by \(x=\dfrac{v_{0}}{a}\left(1-e^{-a t}\right)\). Where \(v_{0}\) is a constant and \(a>0\).
The dimensions of \(v_{0}\) and \(a\) are:

367341 If \({x, y}\) and \({z}\) are some physical quantities and \({[x y]=[z]}\), then which of the following is meaningful?

367342 Energy \((E)\) is expressed in terms of mass \((m),\) distance \((x)\) and time \((t)\) as \(E=a x+\dfrac{t^{2} \sqrt{b}}{m}\).If the dimensions of \(\dfrac{b}{a}\) is \(\left[ {{M^p}{L^q}{T^r}} \right],\) then \(\mathrm{p}+\mathrm{q}+\mathrm{r}=\)

367343 Let \(x = \pi R\left( {\frac{{{P^2} - {Q^2}}}{2}} \right)\) , where \(P\), \(Q\), \(R\) are lengths. The physical quantity of \(x\) is

367344 The equation of state of some gases can be expressed as \(\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = RT.\) Here \(P\) is the pressure, \(V\) is the volume, \(T\) is the absolute temperature and \(a\), \(b\), \(R\) are constants. The dimensions of ‘\(a\)’ are

367340 The position \(x\) of a particle at time " \(t\) " is given by \(x=\dfrac{v_{0}}{a}\left(1-e^{-a t}\right)\). Where \(v_{0}\) is a constant and \(a>0\).
The dimensions of \(v_{0}\) and \(a\) are:

367341 If \({x, y}\) and \({z}\) are some physical quantities and \({[x y]=[z]}\), then which of the following is meaningful?

367342 Energy \((E)\) is expressed in terms of mass \((m),\) distance \((x)\) and time \((t)\) as \(E=a x+\dfrac{t^{2} \sqrt{b}}{m}\).If the dimensions of \(\dfrac{b}{a}\) is \(\left[ {{M^p}{L^q}{T^r}} \right],\) then \(\mathrm{p}+\mathrm{q}+\mathrm{r}=\)

367343 Let \(x = \pi R\left( {\frac{{{P^2} - {Q^2}}}{2}} \right)\) , where \(P\), \(Q\), \(R\) are lengths. The physical quantity of \(x\) is

367344 The equation of state of some gases can be expressed as \(\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = RT.\) Here \(P\) is the pressure, \(V\) is the volume, \(T\) is the absolute temperature and \(a\), \(b\), \(R\) are constants. The dimensions of ‘\(a\)’ are