Which one of the following represents the correct dimensions of the coefficient of viscosity?
ML−1 T−2
MLT−1
ML−1 T−1
ML−1 T−1
C.
ML−1 T−1
The physical quantity that does not have the dimensional formula [ML-1T-2] is
force
pressure
stress
modulus of elasticity
A.
force
As, force = mass x acceleration
⇒ Force = [M] × [M0L1T-2]
⇒ Force = [M1L1T-2]
So, the force does not have the dimensional formula [ML-1T-2]
The set of physical quantities among the following which are dimensionally different is
terminal velocity, drift velocity, critical velocity
potential energy, work done, kinetic energy
dipole moment, electric flux, electric field
distintegration constant, frequency, angular velocity
C.
dipole moment, electric flux, electric field
When the voltage and current in a conductor are measured as (100 ± 4) V and (5 ± 0.2) A, then the percentage of error in the calculation of resistance is
8 %
4 %
20 %
10 %
A.
8 %
A dorce F is applied onto a square plate of side L. If the percentage error in determining L is 2 % and that in F is 4 %, the permissible percentage error in determining the pressure is
2 %
4 %
6 %
8 %
D.
8 %
Side of square plate = L
Percentage error in L = 2 %
Percentage error in F = 4 %
We know that,