EASY

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The only possible dimensionless group that combines velocity $" V "$ body size $" L "$ liquid density $" ρ "$ & surface tension $" σ "$ .

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Important Questions on Physical World and Measurement

MEDIUM

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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

μ_{0}

can be expressed in units of:

MEDIUM

Physics>General Physics>Physical World and Measurement>Units and Dimensions

Expression for time in terms of

G

(universal gravitational constant),

h

(Planck constant) and

c

(speed of light) is proportional to:

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

Let $[\in_{0}]$ denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then :

MEDIUM

Physics>General Physics>Physical World and Measurement>Units and Dimensions

S I

units, the dimensions of

\sqrt{\frac{ϵ_{0}}{μ_{0}}}

is:

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

The force

F

acting on a body of density

d

are related by the reflection

F = \frac{y}{\sqrt{d}}

. The dimensions of

y

are

MEDIUM

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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:

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

Let

L, R, C

and

V

represent inductance, resistance, capacitance and voltage, respectively. The dimension of

\frac{L}{R C V}

S I

units will be:

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

A quantity

f

is given by

f = \sqrt{\frac{h c^{5}}{G}}

where

c

is speed of light,

G

universal gravitational constant and

h

is the Planck’s constant. Dimension of

f

is that of:

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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?

MEDIUM

Physics>General Physics>Physical World and Measurement>Units and Dimensions

The dimensions of self or mutual inductance are given as

HARD

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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:

MEDIUM

Physics>General Physics>Physical World and Measurement>Units and Dimensions

Which of the following combinations has the dimension of electrical resistance

(ϵ_{0}

is the permittivity of vacuum and

μ_{0}

is the permeability of vacuum)?

HARD

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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

\times

length)

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

The ratio of the dimensions of Planck’s constant to that of moment of inertia is the dimension of

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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:

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

Given,

B

is magnetic field induction, and

μ_{0}

is the magnetic permeability of vacuum. The dimension of

\frac{B^{2}}{2 μ_{0}}

is:

MEDIUM

Physics>General Physics>Physical World and Measurement>Units and Dimensions

A length - scale

(l)

depends on the permittivity

(ε)

of a dielectric material, Boltzmann constant

k_{B}

, 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

Physics>General Physics>Physical World and Measurement>Units and Dimensions

A, B, C

, and

D

are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation

A D = C l n (B D)

holds true. Then which of the combination is not a meaningful quantity?

EASY

Physics>General Physics>Physical World and Measurement>Units and Dimensions

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:

The only possible dimensionless group that combines velocity "V" body size "L" liquid density "ρ" & surface tension "σ".

Important Questions on Physical World and Measurement

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The only possible dimensionless group that combines velocity $" V "$ body size $" L "$ liquid density $" ρ "$ & surface tension $" σ "$ .