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31 Year NEET Previous Year Questions: Units & Measurement - Question 1

The dimensional formula for angular momentum is [1988]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 2

If C and R denote capacitance and resistance, the dimensional formula of CR is [1988]

Detailed Solution for 31 Year NEET Previous Year Questions: Units & Measurement - Question 2

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31 Year NEET Previous Year Questions: Units & Measurement - Question 3

The dimensional formula of torque is [1989]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 4

Dimensional formula of self inductance is [1989]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 5

Of the following quantities, which one has dimension different from the remaining three? [1989]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 6

If x = at + bt^{2}, where x is the distance travelled by the body in kilometers while t is the time in seconds, then the units of b is [1989]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 7

According to Newton, the viscous force acting between liquid layers of area A and velocity gradient ΔV/ΔZ is given by where η is constant called coefficient of viscosity. The dimensional formula of η is [1990]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 8

The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation of the type f = c m^{x} k^{y}, where c is a dimensionless constant. The values of x and y are

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31 Year NEET Previous Year Questions: Units & Measurement - Question 9

The dimensional formula of pressure is [1990]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 10

The dimension al formula for permeability µ is given by [1991]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 11

A certain body weighs 22.42 gm and has a measured volume of 4.7 cc. The possible error in the measurement of mass and volume are 0.01 gm and 0.1 cc. Then maximum error in the den sity will be [1991]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 12

P represents radiation pressure, crepresents speed of light and Q represents radiation energy striking unit area per sec. The non zero integers x, y, z such that P^{x} Q^{y} c^{z} is dimensionless are [1992]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 13

The time dependence of a physical quantity p is given by p = p_{0} exp (– αt^{2}), where α is a constant and t is the time. The constant α [1993]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 14

urpentine oil is flowing through a tube of length l and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by where v is the velocity of oil at a distance a from the axis of the tube. The dimensions of η are

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31 Year NEET Previous Year Questions: Units & Measurement - Question 15

In a vernier calliper N divisions of vernier scale coincides with (N – 1) divisions of main scale (in which length of one division is 1 mm). The least count of the instrument should be[1994]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 16

In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalen t to [1994]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 17

Which of the following is a dimensional constant? [1995]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 18

The percentage errors in the measurement of mass and speed are 2% and 3% respectively.The error in kinetic energy obtained by measuring mass and speed will be [1995]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 19

An equation is given as :

where P = Pressure, V = Volume & θ = Absolute temperature. If a and b are constants, then dimensions of a will be [1996]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 20

The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of den sity will be [1996]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 21

Which of the following will have the dimensions of time [1996]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 22

The force F on a sphere of radius a moving in a medium with velocity v is given by F = 6πηav.The dimensions of η are [1997]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 23

The dimensional formula for magnetic flux is [1999]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 24

Which one of the following groups have quantities that do not have the same dimensions? [2000]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 25

The dimensions of Planck’s constant are same as [2001]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 26

The unit of the Stefan-Boltzmann's constant is [2002]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 27

The unit of permittivity of free space, ε_{o} is [2004]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 28

The dimensions of universal gravitational constant are [1992, 2004]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 29

The ratio of the dimension of Planck’s constant and that of the moment of inertia has the dimension of [2005]

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31 Year NEET Previous Year Questions: Units & Measurement - Question 30

The velocity v of a particle at time t is given by where a, b and c are constant.The dimensions of a, b and c are respectively [2006]

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