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Units and Measurements

269159 If force \(F\), Length \(L\) and time \(T\) are chosen as fundamental quantities, the dimensional formula for \(M\) ass is

1 \([F L T]\)
2 \(\left[F^{-1} L^{-1-1-2]}\right]\)
3 \(\left[F^{-2} L^{-2} T^{-2}\right]\)
4 \(\left[F^{\left.1 L^{-1} T^{-1}\right]}\right.\)
Units and Measurements

269222 Iftheabsoluteerrors in two physical quantities \(A\) and \(B\) are \(a\) and \(b\) respectively, then the absoluteerror in thevalue of \(A-B\) is(M ed- 2014)

1 \(a-b\)
2 b-a
3 \(a \pm b\)
4 \(a+b\)
Units and Measurements

269213 The velocity of a body is expressed as\(\mathbf{V}=G^{a} M^{b} R^{c}\) where \(\mathbf{G}\) is gravitational constant. \(M\) is mass, \(R\) is radius. The values of exponents \(a, b\) and \(c\) are :

1 \(\frac{1}{2}, \frac{1}{2},-\frac{1}{2}\)
2 \(1,1,1\)
3 \(\frac{1}{2}, \frac{1}{2}, \frac{1}{2}\)
4 \(1,1, \frac{1}{2}\)
Units and Measurements

269214 The velocity of a spherical ball through a viscous liquid is given by\(v=v_{0}\left(1-e^{k t}\right)\), where \(v_{\text {p }}\) is the initial velocity and \(t\) represents time. If k depends on radius of ball ( \(r\) ), coefficient of viscosity ( \(\eta\) ) and mass of the ball (m), then

1 \(\mathrm{k}=\mathrm{mr} / \eta\)
2 \(\mathrm{k}=\eta \mathrm{m} / \mathrm{r}\)
3 \(\mathrm{k}=\mathrm{r} \eta / \mathrm{m}\)
4 \(\mathrm{k}=\mathrm{mr} \eta\)
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Units and Measurements

269159 If force \(F\), Length \(L\) and time \(T\) are chosen as fundamental quantities, the dimensional formula for \(M\) ass is

1 \([F L T]\)
2 \(\left[F^{-1} L^{-1-1-2]}\right]\)
3 \(\left[F^{-2} L^{-2} T^{-2}\right]\)
4 \(\left[F^{\left.1 L^{-1} T^{-1}\right]}\right.\)
Units and Measurements

269222 Iftheabsoluteerrors in two physical quantities \(A\) and \(B\) are \(a\) and \(b\) respectively, then the absoluteerror in thevalue of \(A-B\) is(M ed- 2014)

1 \(a-b\)
2 b-a
3 \(a \pm b\)
4 \(a+b\)
Units and Measurements

269213 The velocity of a body is expressed as\(\mathbf{V}=G^{a} M^{b} R^{c}\) where \(\mathbf{G}\) is gravitational constant. \(M\) is mass, \(R\) is radius. The values of exponents \(a, b\) and \(c\) are :

1 \(\frac{1}{2}, \frac{1}{2},-\frac{1}{2}\)
2 \(1,1,1\)
3 \(\frac{1}{2}, \frac{1}{2}, \frac{1}{2}\)
4 \(1,1, \frac{1}{2}\)
Units and Measurements

269214 The velocity of a spherical ball through a viscous liquid is given by\(v=v_{0}\left(1-e^{k t}\right)\), where \(v_{\text {p }}\) is the initial velocity and \(t\) represents time. If k depends on radius of ball ( \(r\) ), coefficient of viscosity ( \(\eta\) ) and mass of the ball (m), then

1 \(\mathrm{k}=\mathrm{mr} / \eta\)
2 \(\mathrm{k}=\eta \mathrm{m} / \mathrm{r}\)
3 \(\mathrm{k}=\mathrm{r} \eta / \mathrm{m}\)
4 \(\mathrm{k}=\mathrm{mr} \eta\)
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Units and Measurements

269159 If force \(F\), Length \(L\) and time \(T\) are chosen as fundamental quantities, the dimensional formula for \(M\) ass is

1 \([F L T]\)
2 \(\left[F^{-1} L^{-1-1-2]}\right]\)
3 \(\left[F^{-2} L^{-2} T^{-2}\right]\)
4 \(\left[F^{\left.1 L^{-1} T^{-1}\right]}\right.\)
Units and Measurements

269222 Iftheabsoluteerrors in two physical quantities \(A\) and \(B\) are \(a\) and \(b\) respectively, then the absoluteerror in thevalue of \(A-B\) is(M ed- 2014)

1 \(a-b\)
2 b-a
3 \(a \pm b\)
4 \(a+b\)
Units and Measurements

269213 The velocity of a body is expressed as\(\mathbf{V}=G^{a} M^{b} R^{c}\) where \(\mathbf{G}\) is gravitational constant. \(M\) is mass, \(R\) is radius. The values of exponents \(a, b\) and \(c\) are :

1 \(\frac{1}{2}, \frac{1}{2},-\frac{1}{2}\)
2 \(1,1,1\)
3 \(\frac{1}{2}, \frac{1}{2}, \frac{1}{2}\)
4 \(1,1, \frac{1}{2}\)
Units and Measurements

269214 The velocity of a spherical ball through a viscous liquid is given by\(v=v_{0}\left(1-e^{k t}\right)\), where \(v_{\text {p }}\) is the initial velocity and \(t\) represents time. If k depends on radius of ball ( \(r\) ), coefficient of viscosity ( \(\eta\) ) and mass of the ball (m), then

1 \(\mathrm{k}=\mathrm{mr} / \eta\)
2 \(\mathrm{k}=\eta \mathrm{m} / \mathrm{r}\)
3 \(\mathrm{k}=\mathrm{r} \eta / \mathrm{m}\)
4 \(\mathrm{k}=\mathrm{mr} \eta\)
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Units and Measurements

269159 If force \(F\), Length \(L\) and time \(T\) are chosen as fundamental quantities, the dimensional formula for \(M\) ass is

1 \([F L T]\)
2 \(\left[F^{-1} L^{-1-1-2]}\right]\)
3 \(\left[F^{-2} L^{-2} T^{-2}\right]\)
4 \(\left[F^{\left.1 L^{-1} T^{-1}\right]}\right.\)
Units and Measurements

269222 Iftheabsoluteerrors in two physical quantities \(A\) and \(B\) are \(a\) and \(b\) respectively, then the absoluteerror in thevalue of \(A-B\) is(M ed- 2014)

1 \(a-b\)
2 b-a
3 \(a \pm b\)
4 \(a+b\)
Units and Measurements

269213 The velocity of a body is expressed as\(\mathbf{V}=G^{a} M^{b} R^{c}\) where \(\mathbf{G}\) is gravitational constant. \(M\) is mass, \(R\) is radius. The values of exponents \(a, b\) and \(c\) are :

1 \(\frac{1}{2}, \frac{1}{2},-\frac{1}{2}\)
2 \(1,1,1\)
3 \(\frac{1}{2}, \frac{1}{2}, \frac{1}{2}\)
4 \(1,1, \frac{1}{2}\)
Units and Measurements

269214 The velocity of a spherical ball through a viscous liquid is given by\(v=v_{0}\left(1-e^{k t}\right)\), where \(v_{\text {p }}\) is the initial velocity and \(t\) represents time. If k depends on radius of ball ( \(r\) ), coefficient of viscosity ( \(\eta\) ) and mass of the ball (m), then

1 \(\mathrm{k}=\mathrm{mr} / \eta\)
2 \(\mathrm{k}=\eta \mathrm{m} / \mathrm{r}\)
3 \(\mathrm{k}=\mathrm{r} \eta / \mathrm{m}\)
4 \(\mathrm{k}=\mathrm{mr} \eta\)
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