Pressure gradient has the same dimension as that of 

(1) Velocity gradient

(2) Potential gradient

(3) Energy gradient

(4) None of these

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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) FL1T2

(2) FL1T2

(3) FL1T1

(4) FL2T2

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The dimensions of universal gas constant is

(1) [ML2T2θ1]

(2) [M2LT2θ]

(3) [ML3T1θ1]

(4) None of these

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In the relation y=acos(ωtkx), the dimensional formula for k is 

(1) [M0L1T1]

(2) [M0LT1]

(3) [M0L1T0]

(4) [M0LT]

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Position of a body with acceleration 'a' is given by x=Kamtn,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

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"Pascal-Second" has dimension of 

(1) Force

(2) Energy

(3) Pressure

(4) Coefficient of viscosity

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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

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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

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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

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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

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