PRINCIPLE OF HOMOGENEITY
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Units and Measurements

269188 In the relation\(V=\frac{\pi p r^{4}}{8 \eta l}\) where the letters have there usual meanings the dimensions of \(\mathrm{V}\) are

1 \(M^{0} L^{3} T^{0}\)
2 \(M^{0} L^{3} T^{-1}\)
3 \(M^{0} L^{-3} T^{-1}\)
4 \(M^{1} L^{3} T^{0}\)
Units and Measurements

269189 If the acceleration due to gravity is\(\mathbf{1 0} \mathrm{ms}^{-2}\) and the units of length and time are changed to kilometre and hour respectively the numerical value of acceleration is

1 36000
2 72000
3 36000
4 \(\overline{1} \overline{2} \overline{9} \overline{6} \overline{0} 0\)
Units and Measurements

269190 The magnitude of Energy is 100 ). What will be its value if the units of mass and time are doubled and that of length is halved?

1 \(100 \mathrm{~J}\)
2 \(200 \mathrm{~J}\)
3 \(400 \mathrm{~J}\)
4 \(800 \mathrm{~J}\)
Units and Measurements

269191 If the units of mass and velocityareincreased by two times then the unit of momentum will be increased by

1 \(400 \%\)
2 \(200 \%\)
3 \(300 \%\)
4 \(100 \%\)
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Units and Measurements

269188 In the relation\(V=\frac{\pi p r^{4}}{8 \eta l}\) where the letters have there usual meanings the dimensions of \(\mathrm{V}\) are

1 \(M^{0} L^{3} T^{0}\)
2 \(M^{0} L^{3} T^{-1}\)
3 \(M^{0} L^{-3} T^{-1}\)
4 \(M^{1} L^{3} T^{0}\)
Units and Measurements

269189 If the acceleration due to gravity is\(\mathbf{1 0} \mathrm{ms}^{-2}\) and the units of length and time are changed to kilometre and hour respectively the numerical value of acceleration is

1 36000
2 72000
3 36000
4 \(\overline{1} \overline{2} \overline{9} \overline{6} \overline{0} 0\)
Units and Measurements

269190 The magnitude of Energy is 100 ). What will be its value if the units of mass and time are doubled and that of length is halved?

1 \(100 \mathrm{~J}\)
2 \(200 \mathrm{~J}\)
3 \(400 \mathrm{~J}\)
4 \(800 \mathrm{~J}\)
Units and Measurements

269191 If the units of mass and velocityareincreased by two times then the unit of momentum will be increased by

1 \(400 \%\)
2 \(200 \%\)
3 \(300 \%\)
4 \(100 \%\)
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Units and Measurements

269188 In the relation\(V=\frac{\pi p r^{4}}{8 \eta l}\) where the letters have there usual meanings the dimensions of \(\mathrm{V}\) are

1 \(M^{0} L^{3} T^{0}\)
2 \(M^{0} L^{3} T^{-1}\)
3 \(M^{0} L^{-3} T^{-1}\)
4 \(M^{1} L^{3} T^{0}\)
Units and Measurements

269189 If the acceleration due to gravity is\(\mathbf{1 0} \mathrm{ms}^{-2}\) and the units of length and time are changed to kilometre and hour respectively the numerical value of acceleration is

1 36000
2 72000
3 36000
4 \(\overline{1} \overline{2} \overline{9} \overline{6} \overline{0} 0\)
Units and Measurements

269190 The magnitude of Energy is 100 ). What will be its value if the units of mass and time are doubled and that of length is halved?

1 \(100 \mathrm{~J}\)
2 \(200 \mathrm{~J}\)
3 \(400 \mathrm{~J}\)
4 \(800 \mathrm{~J}\)
Units and Measurements

269191 If the units of mass and velocityareincreased by two times then the unit of momentum will be increased by

1 \(400 \%\)
2 \(200 \%\)
3 \(300 \%\)
4 \(100 \%\)
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Units and Measurements

269188 In the relation\(V=\frac{\pi p r^{4}}{8 \eta l}\) where the letters have there usual meanings the dimensions of \(\mathrm{V}\) are

1 \(M^{0} L^{3} T^{0}\)
2 \(M^{0} L^{3} T^{-1}\)
3 \(M^{0} L^{-3} T^{-1}\)
4 \(M^{1} L^{3} T^{0}\)
Units and Measurements

269189 If the acceleration due to gravity is\(\mathbf{1 0} \mathrm{ms}^{-2}\) and the units of length and time are changed to kilometre and hour respectively the numerical value of acceleration is

1 36000
2 72000
3 36000
4 \(\overline{1} \overline{2} \overline{9} \overline{6} \overline{0} 0\)
Units and Measurements

269190 The magnitude of Energy is 100 ). What will be its value if the units of mass and time are doubled and that of length is halved?

1 \(100 \mathrm{~J}\)
2 \(200 \mathrm{~J}\)
3 \(400 \mathrm{~J}\)
4 \(800 \mathrm{~J}\)
Units and Measurements

269191 If the units of mass and velocityareincreased by two times then the unit of momentum will be increased by

1 \(400 \%\)
2 \(200 \%\)
3 \(300 \%\)
4 \(100 \%\)
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