The dimension of 1 half straight epsilon subscript straight o straight E squared comma space where space straight epsilon subscript straight o, is permittivity of free space and E is electric field is 

  • [ML2T-2]

  • [ML-1T-3]

  • [ML2T-1]

  • [ML2T-1]


B.

[ML-1T-3]

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The density of material in CGS system of units is 4g/ cm2.In a system of units in which unit of lengths is 10 cm and unit of mass is 100 g, the value of density of material will be 

  • 0.4

  • 40

  • 400

  • 400


B.

40

M = dV

d= M/L3

d = 4 g/cm3

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If the error in the measurement of radius of sphere is 2%, then the error in the determination of volume of the sphere will be

  • 4%

  • 6%

  • 8%

  • 8%


B.

6%

 
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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

  • 2 and 4

  • 3 and 5

  • 1 and 4

  • 1 and 4


C.

1 and 4

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If the dimensions of a physical quantity are given by Ma Lb Tc, the physical quantity will be 

  • pressure if a = 1, b = -1, c= 2

  • velocity if a = 1, b = 1, c = -2

  • acceleration if a = 1, b = 1, c =-2

  • acceleration if a = 1, b = 1, c =-2


A.

pressure if a = 1, b = -1, c= 2

Dimensions of velocity = [ M0L1T-1]

Here, a = 0, b =1, c = -1

Dimension of acceleration = [ M0L1T-2]

Dimension of force = [ M1L1T-2]

Dimension of pressure = [M1L-1T-2

The physical quantity is pressure.

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