The dimension of , is permittivity of free space and E is electric field is
[ML2T-2]
[ML-1T-3]
[ML2T-1]
[ML2T-1]
B.
[ML-1T-3]
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
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.
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%