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Introduction to Physics Physics - Introduction to Physics

Uttarakhand Board (UBSE) - STD 11 Science - Physics (Uttarakhand - English Medium). 38 questions in this chapter.

Question types

Introduction to Physics question types

38 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

38
Questions
6
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 2M.C.Q (1 Marks)1 Mark
Which of the following sets cannot enter into the list of fundamental quantities in any system of units?
  • A
    Length, mass and velocity.
  • ✓
    Length, time and velocity.
  • C
    Mass, time and velocity.
  • D
    Length, time and mass.

Answer: B.

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Q 3M.C.Q (1 Marks)1 Mark
The dimensions $\text{ML}^{-1}\text{T}^{-2}$ may correspond to:
  • A
    Work done by a force.
  • B
    Linear momentum.
  • ✓
    Pressure and Energy per unit volume.
  • D
    None of these

Answer: C.

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Q 4M.C.Q (1 Marks)1 Mark
A unitless quantity:
  • ✓
    Never has a non-zero dimension.
  • B
    Always has a non-zero dimension.
  • C
    May have a non-zero dimension.
  • D
    Does not exist.

Answer: A.

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Q 5M.C.Q (1 Marks)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:
  • A
    $\text{n}\propto\text{size of u}$
  • B
    $\text{n}\propto\text{u}^2$
  • C
    $\text{n}\propto\sqrt{\text{u}}$
  • ✓
    $\text{n}\propto\frac{1}{\text{u}}$

Answer: D.

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Q 81 Marks Question1 Mark
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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Q 91 Marks Question1 Mark
The normal duration of I.Sc. Physics practical period in Indian colleges is 100 minutes. Express this period in microcenturies. 1 microcentury $= 10^{-6} \times 100$ years. How many microcenturies did you sleep yesterday?
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Q 102 Marks Questions2 Marks
The metre is defined as the distance travelled by light in $\frac{1}{299,792,458}$ second. Why didn't people choose some 1 easier number such as $\frac{1}{300,000,000}$ second? Why not 1 second?
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Q 112 Marks Questions2 Marks
Find the dimensions of :
  1. The specific heat capacity $c.$
  2. The coefficient of linear expansion $a$.
  3. The gas constant $R.$
Some of the equations involving these quantities are $\text{Q = mc(T}_2-\text{T}_1),\text{l}_{\text{t}}=\text{l}_0[1+\alpha(\text{T}_2-\text{T}_1)]$ and $\text{PV = nRT}.$
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Q 122 Marks Questions2 Marks
Find the dimensions of :
  1. Electric field $E$,
  2. Magnetic field $B$ and
  3. Magnetic permeability $\mu_0.$
The relevant equations are$\text{F = qE, F = qvB,}$ and $\text{B}=\frac{\mu_0\text{I}}{2\pi\alpha};$
where $F$ is force, $q$ is charge, $v$ is speed, $I$ is current, and $a$ is distance.
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Q 132 Marks Questions2 Marks
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
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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Q 163 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 173 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 183 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 195 Marks Questions5 Marks
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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Q 205 Marks Questions5 Marks
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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Q 22Case study (4 Marks)4 Marks
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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Q 25Case study (4 Marks)4 Marks
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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