TO CHECK THE CORRECTNESS OF PHYSICAL RELATIONAND DERIVING THE EQUATIONS
Units and Measurements

269219 If the force is given by\(F=a t+b t^{2}\) with \(\mathrm{t}\) as time. The dimensions of \(a\) and \(b\) are(Eng-10)

1 \(M L T^{-4}, M L T^{-2}\)
2 \(M L T^{-3}, M L T^{-4}\)
3 \(M L^{2} T^{-3}, M L^{2} T^{-2}\)
4 \(M L^{2} T^{-3}, M L^{3} T^{-4}\)
Units and Measurements

269220 When awavetraverses a medium, the displacement of a particle located at ' \(x\) ' at a time ' \(t\) ' is given by \(y=a \sin (b t-c x)\), where \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are constants of the wave, which of the following is a quantity with dimensions? (Eng-2009)

1 \(y / a\)
2 bt
3 \(C x\)
4 \(b / c\)
Units and Measurements

269221 The Energy( \(E\) ), angular momentum ( \(L\) ) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is ( \(\mathrm{Eng}\) - 2008)

1 0
2 -1
3 \(5 / 3\)
4 1
Units and Measurements

269223 If the velocity\(v\) (in \(\mathrm{cm} / \mathrm{s}\) ) of a particle is given in terms of timet (in sec) by the equation \(v=a t+\frac{b}{t+c}\), then the dimensions of \(a, b\) and \(c\) are (M ed- 2011)

1 \(\begin{gathered}{\left[L^2\right]}\end{gathered}[T] \quad\left[L T^2\right]\)
2 \(\left[L T^2\right] \quad[L T] \quad[L]\)
3 \(\begin{array}{lll}{\left[L T^{-2}\right]} & {[L]} & {[T]}\end{array}\)
4 \(\quad[L] \quad[L T] \quad\left[T^2\right]\)
Units and Measurements

269224 A body weighs\(22.42 \mathrm{~g}\) and has a measured volume of \(4.7 \mathrm{cc}\) the possible errors in the measurement of mass and volume are \(0.01 \mathrm{~g}\) and \(0.1 \mathrm{cc}\). Then the maximum percentage error in the density will be(M ed- 2010)

1 \(22 \%\)
2 \(2.2 \%\)
3 \(0.22 \%\)
4 \(0.022 \%\)
Units and Measurements

269219 If the force is given by\(F=a t+b t^{2}\) with \(\mathrm{t}\) as time. The dimensions of \(a\) and \(b\) are(Eng-10)

1 \(M L T^{-4}, M L T^{-2}\)
2 \(M L T^{-3}, M L T^{-4}\)
3 \(M L^{2} T^{-3}, M L^{2} T^{-2}\)
4 \(M L^{2} T^{-3}, M L^{3} T^{-4}\)
Units and Measurements

269220 When awavetraverses a medium, the displacement of a particle located at ' \(x\) ' at a time ' \(t\) ' is given by \(y=a \sin (b t-c x)\), where \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are constants of the wave, which of the following is a quantity with dimensions? (Eng-2009)

1 \(y / a\)
2 bt
3 \(C x\)
4 \(b / c\)
Units and Measurements

269221 The Energy( \(E\) ), angular momentum ( \(L\) ) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is ( \(\mathrm{Eng}\) - 2008)

1 0
2 -1
3 \(5 / 3\)
4 1
Units and Measurements

269223 If the velocity\(v\) (in \(\mathrm{cm} / \mathrm{s}\) ) of a particle is given in terms of timet (in sec) by the equation \(v=a t+\frac{b}{t+c}\), then the dimensions of \(a, b\) and \(c\) are (M ed- 2011)

1 \(\begin{gathered}{\left[L^2\right]}\end{gathered}[T] \quad\left[L T^2\right]\)
2 \(\left[L T^2\right] \quad[L T] \quad[L]\)
3 \(\begin{array}{lll}{\left[L T^{-2}\right]} & {[L]} & {[T]}\end{array}\)
4 \(\quad[L] \quad[L T] \quad\left[T^2\right]\)
Units and Measurements

269224 A body weighs\(22.42 \mathrm{~g}\) and has a measured volume of \(4.7 \mathrm{cc}\) the possible errors in the measurement of mass and volume are \(0.01 \mathrm{~g}\) and \(0.1 \mathrm{cc}\). Then the maximum percentage error in the density will be(M ed- 2010)

1 \(22 \%\)
2 \(2.2 \%\)
3 \(0.22 \%\)
4 \(0.022 \%\)
Units and Measurements

269219 If the force is given by\(F=a t+b t^{2}\) with \(\mathrm{t}\) as time. The dimensions of \(a\) and \(b\) are(Eng-10)

1 \(M L T^{-4}, M L T^{-2}\)
2 \(M L T^{-3}, M L T^{-4}\)
3 \(M L^{2} T^{-3}, M L^{2} T^{-2}\)
4 \(M L^{2} T^{-3}, M L^{3} T^{-4}\)
Units and Measurements

269220 When awavetraverses a medium, the displacement of a particle located at ' \(x\) ' at a time ' \(t\) ' is given by \(y=a \sin (b t-c x)\), where \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are constants of the wave, which of the following is a quantity with dimensions? (Eng-2009)

1 \(y / a\)
2 bt
3 \(C x\)
4 \(b / c\)
Units and Measurements

269221 The Energy( \(E\) ), angular momentum ( \(L\) ) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is ( \(\mathrm{Eng}\) - 2008)

1 0
2 -1
3 \(5 / 3\)
4 1
Units and Measurements

269223 If the velocity\(v\) (in \(\mathrm{cm} / \mathrm{s}\) ) of a particle is given in terms of timet (in sec) by the equation \(v=a t+\frac{b}{t+c}\), then the dimensions of \(a, b\) and \(c\) are (M ed- 2011)

1 \(\begin{gathered}{\left[L^2\right]}\end{gathered}[T] \quad\left[L T^2\right]\)
2 \(\left[L T^2\right] \quad[L T] \quad[L]\)
3 \(\begin{array}{lll}{\left[L T^{-2}\right]} & {[L]} & {[T]}\end{array}\)
4 \(\quad[L] \quad[L T] \quad\left[T^2\right]\)
Units and Measurements

269224 A body weighs\(22.42 \mathrm{~g}\) and has a measured volume of \(4.7 \mathrm{cc}\) the possible errors in the measurement of mass and volume are \(0.01 \mathrm{~g}\) and \(0.1 \mathrm{cc}\). Then the maximum percentage error in the density will be(M ed- 2010)

1 \(22 \%\)
2 \(2.2 \%\)
3 \(0.22 \%\)
4 \(0.022 \%\)
Units and Measurements

269219 If the force is given by\(F=a t+b t^{2}\) with \(\mathrm{t}\) as time. The dimensions of \(a\) and \(b\) are(Eng-10)

1 \(M L T^{-4}, M L T^{-2}\)
2 \(M L T^{-3}, M L T^{-4}\)
3 \(M L^{2} T^{-3}, M L^{2} T^{-2}\)
4 \(M L^{2} T^{-3}, M L^{3} T^{-4}\)
Units and Measurements

269220 When awavetraverses a medium, the displacement of a particle located at ' \(x\) ' at a time ' \(t\) ' is given by \(y=a \sin (b t-c x)\), where \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are constants of the wave, which of the following is a quantity with dimensions? (Eng-2009)

1 \(y / a\)
2 bt
3 \(C x\)
4 \(b / c\)
Units and Measurements

269221 The Energy( \(E\) ), angular momentum ( \(L\) ) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is ( \(\mathrm{Eng}\) - 2008)

1 0
2 -1
3 \(5 / 3\)
4 1
Units and Measurements

269223 If the velocity\(v\) (in \(\mathrm{cm} / \mathrm{s}\) ) of a particle is given in terms of timet (in sec) by the equation \(v=a t+\frac{b}{t+c}\), then the dimensions of \(a, b\) and \(c\) are (M ed- 2011)

1 \(\begin{gathered}{\left[L^2\right]}\end{gathered}[T] \quad\left[L T^2\right]\)
2 \(\left[L T^2\right] \quad[L T] \quad[L]\)
3 \(\begin{array}{lll}{\left[L T^{-2}\right]} & {[L]} & {[T]}\end{array}\)
4 \(\quad[L] \quad[L T] \quad\left[T^2\right]\)
Units and Measurements

269224 A body weighs\(22.42 \mathrm{~g}\) and has a measured volume of \(4.7 \mathrm{cc}\) the possible errors in the measurement of mass and volume are \(0.01 \mathrm{~g}\) and \(0.1 \mathrm{cc}\). Then the maximum percentage error in the density will be(M ed- 2010)

1 \(22 \%\)
2 \(2.2 \%\)
3 \(0.22 \%\)
4 \(0.022 \%\)
Units and Measurements

269219 If the force is given by\(F=a t+b t^{2}\) with \(\mathrm{t}\) as time. The dimensions of \(a\) and \(b\) are(Eng-10)

1 \(M L T^{-4}, M L T^{-2}\)
2 \(M L T^{-3}, M L T^{-4}\)
3 \(M L^{2} T^{-3}, M L^{2} T^{-2}\)
4 \(M L^{2} T^{-3}, M L^{3} T^{-4}\)
Units and Measurements

269220 When awavetraverses a medium, the displacement of a particle located at ' \(x\) ' at a time ' \(t\) ' is given by \(y=a \sin (b t-c x)\), where \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{c}\) are constants of the wave, which of the following is a quantity with dimensions? (Eng-2009)

1 \(y / a\)
2 bt
3 \(C x\)
4 \(b / c\)
Units and Measurements

269221 The Energy( \(E\) ), angular momentum ( \(L\) ) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is ( \(\mathrm{Eng}\) - 2008)

1 0
2 -1
3 \(5 / 3\)
4 1
Units and Measurements

269223 If the velocity\(v\) (in \(\mathrm{cm} / \mathrm{s}\) ) of a particle is given in terms of timet (in sec) by the equation \(v=a t+\frac{b}{t+c}\), then the dimensions of \(a, b\) and \(c\) are (M ed- 2011)

1 \(\begin{gathered}{\left[L^2\right]}\end{gathered}[T] \quad\left[L T^2\right]\)
2 \(\left[L T^2\right] \quad[L T] \quad[L]\)
3 \(\begin{array}{lll}{\left[L T^{-2}\right]} & {[L]} & {[T]}\end{array}\)
4 \(\quad[L] \quad[L T] \quad\left[T^2\right]\)
Units and Measurements

269224 A body weighs\(22.42 \mathrm{~g}\) and has a measured volume of \(4.7 \mathrm{cc}\) the possible errors in the measurement of mass and volume are \(0.01 \mathrm{~g}\) and \(0.1 \mathrm{cc}\). Then the maximum percentage error in the density will be(M ed- 2010)

1 \(22 \%\)
2 \(2.2 \%\)
3 \(0.22 \%\)
4 \(0.022 \%\)