# The density of a material in CGS system of units is 4 g/cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100g, the value of density of material will be 1. 0.04 2. 0.4 3. 40 4. 400

Subtopic:  Dimensions |
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A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g, the accelration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1
and e2 respectively, the percentage error in the estimation of g is -

1. ${e}_{1}+2{e}_{2}$

2. ${e}_{1}+{e}_{2}$

3. ${e}_{1}-2{e}_{2}$

4. ${e}_{2}-{e}_{1}$

Subtopic:  Errors |
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The dimensions of ${\left({\mu }_{0}{\epsilon }_{0}\right)}^{-1/2}$ are -

1.

2.

3.

4.

Subtopic:  Dimensions |
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The velocity v of a particle at time t is given by , where a, b and c are constants. The dimensions of a, b, and c are respectively:

1.

2.

3.

4.

Subtopic:  Dimensions |
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Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, length L, time T and current I, would be:

1. $\left[{\mathrm{ML}}^{2}{\mathrm{T}}^{-3}{\mathrm{I}}^{-1}\right]$

2. $\left[{\mathrm{ML}}^{2}{\mathrm{T}}^{-2}\right]$

3. $\left[{\mathrm{ML}}^{2}{\mathrm{T}}^{-1}{\mathrm{I}}^{-1}\right]$

4. $\left[{\mathrm{ML}}^{2}{\mathrm{T}}^{-3}{\mathrm{I}}^{-2}\right]$

Subtopic:  Dimensions |
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Which two of the following five physical parameters have the same dimensions?
(1) Energy density
(2) Refractive index
(3) Dielectric constant
(4) Young's modulus
(5) Magnetic field

1.  (2) and (4)

2.  (3) and (5)

3.  (1) and (4)

4.  (1) and (5)

Subtopic:  Dimensions |
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If the error in the measurement of the radius of a sphere is 2%, then the error in the determination of the volume of the sphere will be:

1.  4%

2.  6%

3.  8%

4.  2%

Subtopic:  Errors |
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If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be:
1. Pressure if a = 1, b = -1, c = - 2
2. Velocity if a = 1, b = 0, c = - 1
3. Acceleration if a = 1, b = 1, c = - 2
4. Force if a = 0, b =-1, c = - 2
Subtopic:  Dimensions |
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The dimensions of $\frac{1}{2}{\mathrm{\epsilon }}_{0}{\mathrm{E}}^{2}$ where ${\epsilon }_{0}$ is the permittivity of free space and E is the electric field, are:

1. [ML2T-2]

2. [ML-1T-2]

3.  [ML2T-1]

4.  [MLT-1]

Subtopic:  Dimensions |
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The dimensions of ${\left({\mathrm{\mu }}_{0}{\mathrm{\epsilon }}_{0}\right)}^{-1/2}$ are

1.

2.  $\left[{\mathrm{LT}}^{-1}\right]$

3.

4.

Subtopic:  Dimensions |
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