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Units and Measurements Physics - Units and Measurements

UP Board (UPMSP) - STD 11 Science - Physics (UPMSP - English Medium). 51 questions in this chapter.

Question types

Units and Measurements question types

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

51
Questions
5
Question groups
5
Question types
Sample Questions

Units and Measurements 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 (1 Marks)1 Mark
Which of the following time measuring devices is most precise? Give reason for your answer.
  • A
    A wall clock.
  • B
    A stop watch.
  • C
    A digital watch.
  • ✓
    An atomic clock.

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark
If $\text{P, Q, R}$ are physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?
  • A
    $\frac{(\text{P}-\text{Q})}{\text{R}}$
  • B
    $\text{PQ}-\text{R}$
  • C
    $\frac{(\text{R}+\text{Q})}{\text{P}}$
  • ✓
    Both $A$ and $C$

Answer: D.

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Q 5M.C.Q (1 Marks)1 Mark
The numbers $2.745$ and $2.735$ on rounding off to $3$ significant figures will give:
  • A
    $2.75$ and $2.74.$
  • B
    $2.74$ and $2.73.$
  • C
    $2.75$ and $2.73.$
  • ✓
    $2.74$ and $2.74.$

Answer: D.

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Q 81 Marks Question1 Mark
If velocity of light $c,$ Planck’s constant h and gravitational contant $G$ are taken as fundamental quantities then express mass, length and time in terms of dimensions of these quantities.
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Q 112 Marks Questions2 Marks
The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions. If each main scale division is 0.5mm, calculate the minimum inaccuracy in the measurement of distance.
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Q 183 Marks Question3 Marks
The volume of a liquid flowing out per second of a pipe of length l and radius r is written by a student as,$\text{v}=\frac{\pi}{8}\frac{\text{Pr}^4}{\eta\text{l}}$
where P is the pressure difference between the two ends of the pipe and $\eta$ is coefficent of viscosity of the liquid having dimensional formula $ML^{-1} T^{-1}$. Check whether the equation is dimensionally correct.
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Q 203 Marks Question3 Marks
The displacement of a progressive wave is represented by $\text{y} = \text{A} \sin(\omega \text{t} – \text{k x} ),$ where $x$ is distance and $t$ is time. Write the dimensional formula of $(i) \omega$ and $(ii) k$.
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Q 215 Marks Questions5 Marks
Einstein's mass - energy relation emerging out of his famous theory of relativity relates mass $(\mathrm{m})$ to energy $(\mathrm{E})$ as $\mathrm{E}=$ $\mathrm{mc}^2$, where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are very small. The energy at nuclear level is usually measured in MeV , where $1 \mathrm{MeV}=1.6 \times 10^{-13} \mathrm{~J}$; the masses are measured in unified atomic mass unit ( u ) where $1 \mathrm{u}=1.67 \times 10^{-27} \mathrm{~kg}$.
a. Show that the energy equivalent of 1 u is 931.5 MeV .
b. A student writes the relation as $1 \mathrm{u}=931.5 \mathrm{MeV}$. The teacher points out that the relation is dimensionally incorrect. Write the correct relation.
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Q 225 Marks Questions5 Marks
The radius of atom is of the order of $\mathring{\text{A}}$ and radius of nucleus is of the order of fermi. How many magnitudes higher is the volume of atom as compared to the volume of nucleus?
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Q 235 Marks Questions5 Marks
Mars has approximately half of the earth’s diameter. When it is closest to the earth it is at about $\frac{1}{2}$ A.U. from the earth. Calculate what size it will appear when seen through the same telescope.
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Q 245 Marks Questions5 Marks
A new system of units is proposed in which unit of mass is $\alpha\text{kg},$ unit of length $\beta$ m and unit of time $\gamma\text{ s}.$ How much will 5J measure in this new system?
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