Pressure gradient has the same dimension as that of

(1) Velocity gradient

(2) Potential gradient

(3) Energy gradient

(4) None of these

Concept Questions :-

Dimensions
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If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

(1) $F{L}^{-1}{T}^{2}$

(2) $F{L}^{-1}{T}^{-2}$

(3) $F{L}^{-1}{T}^{-1}$

(4) $F{L}^{2}{T}^{2}$

Concept Questions :-

Dimensions
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The dimensions of universal gas constant is

(1) $\left[M{L}^{2}{T}^{-2}{\theta }^{-1}\right]$

(2) $\left[{M}^{2}L{T}^{-2}\theta \right]$

(3) $\left[M{L}^{3}{T}^{-1}{\theta }^{-1}\right]$

(4) None of these

Concept Questions :-

Dimensions
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In the relation $y=a\mathrm{cos}\left(\omega t-kx\right)$, the dimensional formula for k is

(1) $\left[{M}^{0}{L}^{-1}{T}^{-1}\right]$

(2) $\left[{M}^{0}L{T}^{-1}\right]$

(3) $\left[{M}^{0}{L}^{-1}{T}^{0}\right]$

(4) $\left[{M}^{0}LT\right]$

Concept Questions :-

Dimensions
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Position of a body with acceleration 'a' is given by $x=K{a}^{m}{t}^{n},$here t is time. Find dimension of m and n

1. m = 1, n = 1

2. m = 1, n = 2

3. m = 2, n = 1

4. m = 2, n = 2

Concept Questions :-

Dimensions
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"Pascal-Second" has dimension of

(1) Force

(2) Energy

(3) Pressure

(4) Coefficient of viscosity

Concept Questions :-

Dimensions
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In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is

(1) FA2T

(2) FAT2

(3) F2AT

(4) FAT

Concept Questions :-

Dimensions
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The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

(1) Frequency

(2) Velocity

(3) Angular momentum

(4) Time

Concept Questions :-

Dimensions
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Which of the following group have different dimension

(1) Potential difference, EMF, voltage

(2) Pressure, stress, young's modulus

(3) Heat, energy, work-done

(4) Dipole moment, electric flux, electric field

Concept Questions :-

Dimensions
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Out of following four dimensional quantities, which one quantity is to be called a dimensional constant

(1) Acceleration due to gravity

(2) Surface tension of water

(3) Weight of a standard kilogram mass

(4) The velocity of light in vacuum

Concept Questions :-

Dimensions
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