Physics - Units Measurement - Quiz-4

A physical quantity is measured and its value is found to be nu where n = numerical value and u = unit. Then which of the following relations is true

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$n \propto u^{2}$
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$n \propto u$
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$n \propto \sqrt{u}$
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$n \propto \frac{1}{u}$

Faraday is the unit of

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Charge
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emf
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Mass
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Energy

Candela is the unit of

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Electric intensity
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Luminous intensity
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Sound intensity
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None of these

The unit of reactance is

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Ohm
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Volt
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Mho
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Newton

How many wavelengths of $K r^{86}$ are there in one metre

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1553164.13
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1650763.73
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652189.63
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2348123.73

Which of the following pairs is wrong?

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Pressure-Baromter
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Relative density-Pyrometer
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Temperature-Thermometer
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Earthquake-Seismograph

Select the pair whose dimensions are same

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Pressure and stress
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Stress and strain
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Pressure and force
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Power and force

Dimensional formula $M L^{- 1} T^{- 2}$ does not represent the physical quantity

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Young's modulus of elasticity
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Stress
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Strain
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Pressure

Dimensional formula $M L^{2} T^{- 3}$ represents

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Force
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Power
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Energy
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Work

Whose dimensions are $M L^{2} T^{- 1}$ ?

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Torque
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Angular momentum
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Power
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Work

Which pair has the same dimensions?

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Work and power
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Density and relative density
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Momentum and impulse
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Stress and strain

Dimensions of one or more pairs are same. Identify the pairs

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Torque and work
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Angular momentum and work
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Energy and Young's modulus
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Year and wavelength

Dimensional formula for volume elasticity is

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$M^{1} L^{- 2} T^{- 2}$
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$M^{1} L^{- 3} T^{- 2}$
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$M^{1} L^{2} T^{- 2}$
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$M^{1} L^{- 1} T^{- 2}$

The dimensions of universal gravitational constant are

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$M^{- 2} L^{2} T^{- 2}$
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$M^{- 1} L^{3} T^{- 2}$
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$M L^{- 1} T^{- 2}$
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$M L^{2} T^{- 2}$

The dimensional formula of angular velocity is

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$M^{0} L^{0} T^{- 1}$
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$M L T^{- 1}$
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$M^{0} L^{0} T^{1}$
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$M L^{0} T^{- 2}$

Dimensional formula for angular momentum is

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$M L^{2} T^{- 2}$
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$M L^{2} T^{- 1}$
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$M L T^{- 1}$
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$M^{0} L^{2} T^{- 2}$

The dimensional formula for impulse is

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$M L T^{- 2}$
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$M L T^{- 1}$
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$M L^{2} T^{- 1}$
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$M^{2} L T^{- 1}$

The dimensional formula for r.m.s. (root mean square) velocity is

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$M^{0} L T^{- 1}$
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$M^{0} L^{0} T^{- 2}$
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$M^{0} L^{0} T^{- 1}$
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$M L T^{- 3}$

The dimensional formula for Planck's constant (h) is

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$M L^{- 2} T^{- 3}$
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$M L^{2} T^{- 2}$
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$M L^{2} T^{- 1}$
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$M L^{- 2} T^{- 2}$

Out of the following, the only pair that does not have identical dimensions is

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Angular momentum and Planck's constant
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Moment of inertia and moment of a force
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Work and torque
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Impulse and momentum

The dimensional formula for impulse is same as the dimensional formula for

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Momentum
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Force
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Rate of change of momentum
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Torque

Which of the following is dimensionally correct

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Pressure = Energy per unit area
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Pressure = Energy per unit volume
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Pressure = Force per unit volume
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Pressure = Momentum per unit volume per unit time

Planck's constant has the dimensions (unit) of

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Energy
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Linear momentum
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Work
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Angular momentum

The equation of state of some gases can be expressed as $(P + \frac{a}{V^{2}}) (V - b) = R T$ . Here P is the pressure, V is the volume, T is the absolute temperature and a, b, R are constants. The dimensions of ‘a’ are

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$M L^{5} T^{- 2}$
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$M L^{- 1} T^{- 2}$
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$M^{0} L^{3} T^{0}$
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$M^{0} L^{6} T^{0}$

If V denotes the potential difference across the plates of a capacitor of capacitance C, the dimensions of CV² are [This question includes concepts from 12th syllabus]

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Not expressible in MLT
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$M L T^{- 2}$
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$M^{2} L T^{- 1}$
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$M L^{2} T^{- 2}$

If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of Li² are

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$M L^{2} T^{- 2}$
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Not expressible in MLT
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$M L T^{- 2}$
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LT

Of the following quantities, which one has dimensions different from the remaining three

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Energy per unit volume
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Force per unit area
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Product of voltage and charge per unit volume
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Angular momentum per unit mass

A spherical body of mass m and radius r is allowed to fall in a medium of viscosity $η$ . The time in which the velocity of the body increases from zero to 0.63 times the terminal velocity $(v)$ is called time constant $(τ)$ . Dimensionally $τ$ can be represented by

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$\frac{m r^{2}}{6 π η}$
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$\sqrt{(\frac{6 π m r η}{g^{2}})}$
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$\frac{m}{6 π η r v}$
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None of the above

The frequency of vibration f of a mass m suspended from a spring of spring constant K is given by a relation of this type $f = C m^{x} K^{y}$ ; where C is a dimensionless quantity. The value of x and y are

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$x = \frac{1}{2}, y = \frac{1}{2}$
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$x = - \frac{1}{2}, y = - \frac{1}{2}$
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$x = \frac{1}{2}, y = - \frac{1}{2}$
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$x = - \frac{1}{2}, y = \frac{1}{2}$

The quantities A and B are related by the relation, m = A/B, where m is the linear density and A is the force. The dimensions of B are of

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Pressure
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Work
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Latent heat
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None of the above

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Practice Physics Quiz Questions and Answers

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Practice Physics Quiz Questions and Answers

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