Units & Measurement and Dimensions · Physics · AP EAPCET

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MCQ (Single Correct Answer)

1

The number of significant figures in 0.03240 is

AP EAPCET 2025 - 26th May Morning Shift
2

The physical quantity having the dimensions of the square root of the ratio of the kinetic energy and surface tension is

AP EAPCET 2025 - 27th May Morning Shift
3

If force $=\frac{\alpha}{\operatorname{density}+\beta^3}$, then the dimensional formulae of $\alpha$ and $\beta$ are respectively

AP EAPCET 2025 - 26th May Evening Shift
4

If the error in the measurement of the surface area of a sphere is $1.2 \%$, then the error in the determination of the volume of the sphere is

AP EAPCET 2025 - 24th May Morning Shift
5

If the equation for the velocity of a particle at time ' $t$ ' is $v=$ at $+\frac{b}{t+c}$, then the dimensions of $a, b, c$ are respectively

AP EAPCET 2025 - 23rd May Evening Shift
6

Of the following, the pair of physical quantities not having the same dimensional formula is

AP EAPCET 2025 - 23rd May Morning Shift
7

The number of significant figures in the simplification of $\frac{0.501}{0.05}(0.312-0.03)$ is

AP EAPCET 2025 - 22nd May Evening Shift
8

The dimensional formula of Planck's constant is

AP EAPCET 2025 - 22nd May Morning Shift
9

If the maximum and minimum temperatures at a place on a day are measured as $44^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C}$ and $22^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C}$ respectively, then the temperature difference is

AP EAPCET 2025 - 21st May Evening Shift
10

Among the following, the physical quantity having the dimensions of Young's modulus is

AP EAPCET 2025 - 21st May Morning Shift
11
Which of the following is not a unit of permeability?
AP EAPCET 2024 - 23th May Morning Shift
12

In the equation $\left(p+\frac{a}{V^2}\right)(V-b)=R T$, where $p$ is pressure, $V$ is volume, $T$ is temperature, $R$ is universal gas constant, $a$ and $b$ are constants. The dimensions of $a$ are

AP EAPCET 2024 - 22th May Evening Shift
13
The length of the side of a cube is $1.2 \times 10^{-2} \mathrm{~m}$. Its volume up to correct significant figure is
AP EAPCET 2024 - 21th May Evening Shift
14
Find the dimension formula of $\frac{a}{b}$ in the equation $F=a \sqrt{x}+b t^2$, where $F$ is force, $x$ is distance and $t$ is time.
AP EAPCET 2024 - 20th May Evening Shift
15
E, M, L, G represent energy, mass, angular momentum and gravitational constant, respectively. The dimensions of $\frac{E L^2}{M^5 G^2}$ will be that of
AP EAPCET 2024 - 20th May Morning Shift
16
The percentage error in the measurement of mass and velocity are $3 \%$ and $4 \%$, respectively. The percentage error in the measurement of kinetic energy is
AP EAPCET 2024 - 19th May Evening Shift
17

The energy of $$E$$ of a system is function of time $$t$$ and is given by $$E(t)=\alpha t-\beta t^3$$, where $$\alpha$$ and $$\beta$$ are constants. The dimensions of $$\alpha$$ and $$\beta$$ are

AP EAPCET 2022 - 5th July Morning Shift
18

In SI units, $$\mathrm{kg}-\mathrm{m}^2 \mathrm{~s}^{-2}$$ is equivalent to which of the following?

AP EAPCET 2022 - 4th July Evening Shift
19

If $$N_A, N_B$$ and $$N_C$$ are the number of significant figures in $$A=0.001204 \mathrm{~m}, B=43120000 \mathrm{~m}$$ and $$C=1.200 \mathrm{~m}$$ respectively, then

AP EAPCET 2022 - 4th July Morning Shift
20

Which year was declared as the International year of Physics?

AP EAPCET 2021 - 20th August Evening Shift
21

One angstrom $$(\mathop A\limits^o )$$ is equal to

AP EAPCET 2021 - 20th August Evening Shift
22

The dimensions of stress is

AP EAPCET 2021 - 20th August Evening Shift
23

The speed of ripples $$(v)$$ on water surface depends on surface tension $$(\sigma)$$, density $$(\rho)$$ and wavelength $$(\lambda)$$. Then, the square of speed $$(v)$$ is proportional to

AP EAPCET 2021 - 19th August Evening Shift