Question types

Introduction to Physics question types

32 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

32
Questions
5
Question groups
5
Question types
Sample Questions

Introduction to Physics questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q [1M]1 Mark
The dimensions $\text{ML}^{-1}\text{T}^{-2}$ may correspond to:
  1. Work done by a force.
  2. Linear momentum.
  3. Pressure.
  4. Energy per unit volume.
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Q 2M.C.Q [1M]1 Mark
A unitless quantity:
  1. Never has a non-zero dimension.
  2. Always has a non-zero dimension.
  3. May have a non-zero dimension.
  4. Does not exist.
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Q 3M.C.Q [1M]1 Mark
A physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numerical value. If the result is expressed in various units then:

  1. $\text{n}\propto\text{size of u}$

  2. $\text{n}\propto\text{u}^2$

  3. $\text{n}\propto\sqrt{\text{u}}$

  4. $\text{n}\propto\frac{1}{\text{u}}$

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Q 4M.C.Q [1M]1 Mark
Which of the following sets cannot enter into the list of fundamental quantities in any system of units?
  1. Length, mass and velocity.
  2. Length, time and velocity.
  3. Mass, time and velocity.
  4. Length, time and mass.
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If all the terms in an equation have same units, is it necessary that they have same dimensions? If all the terms in an equation have same dimensions, is it necessary that they have same units?
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The normal duration of I.Sc. Physics practical period in Indian colleges is 100 minutes. Express this period in microcenturies. 1 microcentury = 10-6 × 100 years. How many microcenturies did you sleep yesterday?
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The height of mercury column in a barometer in a Calcutta laboratory was recorded to be 75cm. Calculate this pressure in SI and CGS units using the following data: Specific gravity of mercury = 13.6, Density of water = 103kg/m3, g = 9.8m/s2 at Calcutta. Pressure = $\text{h}\rho\text{g}$ in usual symbols.
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Let I = current through a conductor, R = its resistance and V = potential difference across its ends. According to Ohm's law, product of two of these quantities equals the third. Obtain Ohm's law from dimensional analysis. Dimensional formulae for R and V are $\text{ML}^2\text{I}^{-2}\text{T}^{-3}$ and $\text{ML}^2\text{T}^{-3}\text{I}^{-1}$ respectively.
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It is desirable that the standards of units be easily available, invariable, indestructible and easily reproducible. If we use foot of a person as a standard unit of length, which of the above features are present and which are not?
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Q 153 Marks Question3 Marks
The kinetic energy K of a rotating body depends on its moment of inertia I and its angular speed $\omega.$ Assuming the relation to be $\text{K}=\text{kI}^{\text{a}}\omega^{\text{b}}$ where k is a dimensionless constant, find a and b. Moment of inertia of a sphere about its diameter is $\frac{2}{5}\text{Mr}^2.$
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Q 163 Marks Question3 Marks
What are the dimensions of:
  1. Volume of a cube of edge a.
  2. Volume of a sphere of radius a.
  3. The ratio of the volume of a cube of edge a to the volume of a sphere of radius a?
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Q 173 Marks Question3 Marks
Let x and a stand for distance. Is $\int\frac{\text{dx}}{\sqrt{\text{a}^2-\text{x}^2}}=\frac{1}{\text{a}}\sin^{-1}\frac{\text{a}}{\text{x}}$ dimensionally correct?
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Q 183 Marks Question3 Marks
Theory of relativity reveals that mass can be converted into energy. The energy E so obtained is proportional to certain powers of mass m and the speed c of light. Guess a relation among the quantities using the method of dimensions.
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Test if the following equations are dimensionally correct:

  1. $\text{h}=\frac{2\text{S}\cos\theta}{\rho\text{rg}}$

  2. $\text{u}=\sqrt{\frac{\text{P}}{\rho}}$

  3. $\text{V}=\frac{\pi\text{Pr}^4\text{t}}{8\eta l}$

  4. $\text{v}=\frac{1}{2\pi}\sqrt{\frac{\text{mg}l}{\text{I}}}$

where h = height, S = surface tension, $\rho$ = density, P = pressure, V = volume, $\eta$ = coefficient of viscosity, v = frequency and I = moment of inertia.

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The frequency of vibration of a string depends on the length L between the nodes, the tension F in the string and its mass per unit length m. Guess the expression for its frequency from dimensional analysis.
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