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Units and Measurements

269219 If the force is given by $F = a t + b t^{2}$ with $t$ 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}

Explanation:

$M L T^{- 2} = a t; M L T^{- 2} = b t^{2}$

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 $a, b$ and $c$ 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 ( $Eng$ - 2008)

1 0

2 -1

3

5 / 3

4 1

Explanation:

$h \propto E, L, G$
$M L^{2} T^{- 1} = {(M L^{2} T^{- 2})}^{a} {(M L^{2} T^{- 1})}^{b} {(M^{- 1} L^{3} T^{- 2})}^{c}$
Comparing thepowersonbothsideswegeta,b,c

Units and Measurements

269223 If the velocity $v$ (in $cm / s$ ) 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{matrix} [L^{2}] \end{matrix} [T] [L T^{2}]

2

[L T^{2}] [L T] [L]

3

\begin{array}{lll} [L T^{- 2}] & [L] & [T] \end{array}

4

[L] [L T] [T^{2}]

Units and Measurements

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

1

22 %

2

2.2 %

3

0.22 %

4

0.022 %

Explanation:

Thedensity of $d = \frac{M}{V}$ ;\% Error of density
$\frac{Δ d}{d} \times 100 = \frac{Δ M}{M} \times 100 + \frac{Δ V}{V} \times 100$

Units and Measurements

269219 If the force is given by $F = a t + b t^{2}$ with $t$ 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}

Explanation:

$M L T^{- 2} = a t; M L T^{- 2} = b t^{2}$

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 $a, b$ and $c$ 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 ( $Eng$ - 2008)

1 0

2 -1

3

5 / 3

4 1

Explanation:

$h \propto E, L, G$
$M L^{2} T^{- 1} = {(M L^{2} T^{- 2})}^{a} {(M L^{2} T^{- 1})}^{b} {(M^{- 1} L^{3} T^{- 2})}^{c}$
Comparing thepowersonbothsideswegeta,b,c

Units and Measurements

269223 If the velocity $v$ (in $cm / s$ ) 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{matrix} [L^{2}] \end{matrix} [T] [L T^{2}]

2

[L T^{2}] [L T] [L]

3

\begin{array}{lll} [L T^{- 2}] & [L] & [T] \end{array}

4

[L] [L T] [T^{2}]

Units and Measurements

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

1

22 %

2

2.2 %

3

0.22 %

4

0.022 %

Explanation:

Thedensity of $d = \frac{M}{V}$ ;\% Error of density
$\frac{Δ d}{d} \times 100 = \frac{Δ M}{M} \times 100 + \frac{Δ V}{V} \times 100$

Units and Measurements

269219 If the force is given by $F = a t + b t^{2}$ with $t$ 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}

Explanation:

$M L T^{- 2} = a t; M L T^{- 2} = b t^{2}$

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 $a, b$ and $c$ 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 ( $Eng$ - 2008)

1 0

2 -1

3

5 / 3

4 1

Explanation:

$h \propto E, L, G$
$M L^{2} T^{- 1} = {(M L^{2} T^{- 2})}^{a} {(M L^{2} T^{- 1})}^{b} {(M^{- 1} L^{3} T^{- 2})}^{c}$
Comparing thepowersonbothsideswegeta,b,c

Units and Measurements

269223 If the velocity $v$ (in $cm / s$ ) 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{matrix} [L^{2}] \end{matrix} [T] [L T^{2}]

2

[L T^{2}] [L T] [L]

3

\begin{array}{lll} [L T^{- 2}] & [L] & [T] \end{array}

4

[L] [L T] [T^{2}]

Units and Measurements

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

1

22 %

2

2.2 %

3

0.22 %

4

0.022 %

Explanation:

Thedensity of $d = \frac{M}{V}$ ;\% Error of density
$\frac{Δ d}{d} \times 100 = \frac{Δ M}{M} \times 100 + \frac{Δ V}{V} \times 100$

Units and Measurements

269219 If the force is given by $F = a t + b t^{2}$ with $t$ 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}

Explanation:

$M L T^{- 2} = a t; M L T^{- 2} = b t^{2}$

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 $a, b$ and $c$ 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 ( $Eng$ - 2008)

1 0

2 -1

3

5 / 3

4 1

Explanation:

$h \propto E, L, G$
$M L^{2} T^{- 1} = {(M L^{2} T^{- 2})}^{a} {(M L^{2} T^{- 1})}^{b} {(M^{- 1} L^{3} T^{- 2})}^{c}$
Comparing thepowersonbothsideswegeta,b,c

Units and Measurements

269223 If the velocity $v$ (in $cm / s$ ) 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{matrix} [L^{2}] \end{matrix} [T] [L T^{2}]

2

[L T^{2}] [L T] [L]

3

\begin{array}{lll} [L T^{- 2}] & [L] & [T] \end{array}

4

[L] [L T] [T^{2}]

Units and Measurements

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

1

22 %

2

2.2 %

3

0.22 %

4

0.022 %

Explanation:

Thedensity of $d = \frac{M}{V}$ ;\% Error of density
$\frac{Δ d}{d} \times 100 = \frac{Δ M}{M} \times 100 + \frac{Δ V}{V} \times 100$

Units and Measurements

269219 If the force is given by $F = a t + b t^{2}$ with $t$ 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}

Explanation:

$M L T^{- 2} = a t; M L T^{- 2} = b t^{2}$

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 $a, b$ and $c$ 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 ( $Eng$ - 2008)

1 0

2 -1

3

5 / 3

4 1

Explanation:

$h \propto E, L, G$
$M L^{2} T^{- 1} = {(M L^{2} T^{- 2})}^{a} {(M L^{2} T^{- 1})}^{b} {(M^{- 1} L^{3} T^{- 2})}^{c}$
Comparing thepowersonbothsideswegeta,b,c

Units and Measurements

269223 If the velocity $v$ (in $cm / s$ ) 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{matrix} [L^{2}] \end{matrix} [T] [L T^{2}]

2

[L T^{2}] [L T] [L]

3

\begin{array}{lll} [L T^{- 2}] & [L] & [T] \end{array}

4

[L] [L T] [T^{2}]

Units and Measurements

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

1

22 %

2

2.2 %

3

0.22 %

4

0.022 %

Explanation:

Thedensity of $d = \frac{M}{V}$ ;\% Error of density
$\frac{Δ d}{d} \times 100 = \frac{Δ M}{M} \times 100 + \frac{Δ V}{V} \times 100$

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