Units & Measurement and Dimensions PYQs - Last 10 Years

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Practice 29 TS EAMCET Physics questions from Units & Measurement and Dimensions. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 10 Years Units & Measurement and Dimensions Questions

Showing 29 of 29 filtered questions.

1Units And Measurement And Dimensions

In an experiment, the coefficient of viscosity (in $\mathrm{mPa} . \mathrm{s})$ of a liquid was determined as $2.62,2.68,2.58$, $2.57,2.54$ and 2.55 . The mean absolute error in the determination of the coefficient of viscosity of the liqui...

2Units And Measurement And Dimensions

The error in the measurement of force acting normally on a square plate is $3 \%$. If the error in the measurement of the side of the plate is $1 \%$, then the error in the determination of the pressure acting on the plate is

3Units And Measurement And Dimensions

If the length of a rod is measured as 830600 mm , then the number of significant figures in the measurement is

4Units And Measurement And Dimensions

A piece of length 3.532 m is cut from a rod of length 43.4 m . The length of the remaining rod in metre is (up to correct significant figures)

5Units And Measurement And Dimensions

If $A, B$ and $C$ are three different physical quantities with different dimensional formulae, then the combination which can never give a proper physical quantity is

6Units And Measurement And Dimensions

If $L$ and $C$ are inductance and capacitance respectively, then the dimensional formula of $(\mathrm{LC})^{-\frac{1}{2}}$ is

7Units And Measurement And Dimensions

The equation of motion of a damped oscillator is given by $m \frac{d^2 x}{d t^2}+b \frac{d x}{d t}+k x=0$. The dimensional formula of $\frac{b}{\sqrt{k m}}$ is

8Units And Measurement And Dimensions

The error in the measurement of resistance, when $(10 \pm 05)$ A current passing through it produces a potential difference of $(100 \pm 6) \mathrm{V}$ across it is

9Units And Measurement And Dimensions

The internal and external diameters of hollow cylinder measured with vernier callipers are $(5.73 \pm 0.01) \mathrm{cm}$ and $(6.01 \pm 0.01) \mathrm{cm}$ respectively. Then, the thickness of the cylinder wall is

10Units And Measurement And Dimensions

Which of the following statement regarding nature of physical laws is not correct?

11Units And Measurement And Dimensions

The number of significant figures in the measurement of a length 0.079000 m is

12Units And Measurement And Dimensions

A physical quantity $X$ is given by $X=\frac{2 k^3 l^2}{m \sqrt{n}}$. The percentage errors in the measurements of $k, l, m$ and $n$ are $1 \%, 2 \%, 3 \%$ and $4 \%$ respectively. The value of $X$ is uncertain by

13Units And Measurement And Dimensions

Velocities $(v)$ and accelerations (a) in two systems of units 1 and 2 are related as $v_2=\frac{n}{m^2} v_1$ and $a_2=\frac{a_1}{m n}$ respectively. Here $m$ and $n$ are constants. Dimensionally relations between distances ( $s_1$ and $s_2...

14Units And Measurement And Dimensions

The efficiency of an engine is given by $\eta=\frac{\alpha \beta}{\sin \theta} \cdot \log _e \frac{\beta x}{k T}$, where $\alpha$ and $\beta$ are constants. If $T$ is the absolute temperature, $k$ is Boltzmann constant, $\theta$ is angular ...

15Units And Measurement And Dimensions

Which of the following pairs has same dimensions?

16Units And Measurement And Dimensions

The number of significant figures in $3.78 \times 10^{22} \mathrm{~kg}$ is

17Units And Measurement And Dimensions

If the velocity of light $c$, the gravitational constant $G$ and Planck's constant $h$ are chosen as the fundamental units, the dimension of density in the new system is

18Units And Measurement And Dimensions

A physical quantity $S$ is related to four observables $a, b, c$ and $d$ as $S=\frac{\sqrt{a b}}{c^3 d^4}$. If the percentage errors of measurement in $a, b, c$ and $d$ are $2 \%, 1 \%, 1 \%$ and $1 \%$ respectively, then percentage error i...

19Units And Measurement And Dimensions

Select the physical quantities in Column I and Column II having same dimensions
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.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
...

20Units And Measurement And Dimensions

Choose the correct statement from following.

21Units And Measurement And Dimensions

If $E$ and $E_0$ denote energies at time $t$ and $t_0$ respectively, and $L$ and $L_0$ distance from same point at $t$ and $t_0$ respectively, then which of the following equations can be declared to be incorrect on dimensional grounds?
(A)...

22Units And Measurement And Dimensions

In a $R$ - $C$ circuit, where $R$ is resistance and $C$ is capacitance, which of the following has the dimension of time?

23Units And Measurement And Dimensions

The surface tension of 70 dynes $/ \mathrm{cm}$ is equal to

24Units And Measurement And Dimensions

The dimension of $\frac{E^2}{\mu_0}$ in mass $(M)$, length $(L)$ and time
$(T)$ is $(E=$ electric field,
$\mu_0=$ permeability of free space)

25Units And Measurement And Dimensions

In an experiment the angles are required to be measured using an instrument in which 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half a degree $\l...

26Units And Measurement And Dimensions

What is the dimension of $\frac{1}{\mu_0 \varepsilon_0}$ ? ( $\mu_0=$ magnetic permeability and $\varepsilon_0=$ permittivity of free space)

27Units And Measurement And Dimensions

The dimension of angular momentum in mass $(M)$, length $(L)$ and time $(T)$ is

28Units And Measurement And Dimensions

Due to an explosion underneath water, a bubble started oscillating. If this oscillation has time period $T$,which is proportional to $p^\alpha S^\beta E^\gamma$, where $p$ is static pressure, $S$ is density of water and $E$ is total energy ...

29Units And Measurement And Dimensions

In five successive measurements, the mass of a ball is measured to be $2.61 \mathrm{~g}, 2.58 \mathrm{~g}, 2.40 \mathrm{~g}, 2.73 \mathrm{~g}$ and 2.80 g . The absolute error in the measurement is