EASY
Earn 100

Define dimentional constant ?

Important Questions on Physical World and Measurement

MEDIUM
If electronic charge e, electron mass m, speed of light in vacuum c and Planck's constant h are taken as fundamental quantities, the permeability of vacuum μ0 can be expressed in units of:
MEDIUM
A length - scale l depends on the permittivity ε of a dielectric material, Boltzmann constant kB , the absolute temperature T, the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles, Which of the following expressions (s) for l is (are) dimensionally correct?
EASY

Let 0 denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :

MEDIUM
If Surface tension (S), Moment of Inertia (I) and Planck's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:
MEDIUM
Expression for time in terms of G (universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:
HARD
Let us consider a system of units in which mass and angular momentum are dimensionless. If the length has a dimension of L, which of the following statement (s) is/are correct?
EASY
Let L, R, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of LRCV in SI units will be:
EASY
If momentum(P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for energy is :
EASY
A,B,C , and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD=Cln( BD ) holds true. Then which of the combination is not a meaningful quantity?
EASY
The force F acting on a body of density d are related by the reflection F=yd . The dimensions of y are
EASY
Time T, velocity C and angular momentum h are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be:
MEDIUM
Which of the following combinations has the dimension of electrical resistance (ϵ0 is the permittivity of vacuum and μ0 is the permeability of vacuum)?
HARD
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be___(For surface tension, Force=Surface tension×length)
EASY
A quantity f is given by f=hc5G where c is speed of light, G universal gravitational constant and h is the Planck’s constant. Dimension of f is that of:
EASY
 The quantities x=1μ00,y=EB and z=lCR are defined where C-capacitance, R-Resistance, -length, E-Electric field, B-magnetic field and0, μ0,-free space permittivity and permeability respectively. Then:
EASY
Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is:
MEDIUM
The dimensions of self or mutual inductance are given as
EASY
In the following I refers to current and other symbols have their usual meaning. Choose the option that corresponds to the dimensions of electrical conductivity:
EASY
Planck's constant (h), speed of light in a vacuum ( c ) and Newton's gravitational constant ( G ) are three fundamental constants. Which of the following combinations of these has the dimension of length?