Question 1: Palette 1/23

AP-EAPCET 2025 MCQ

The number of significant figures in 0.03240 is

A

5

B

4

C

6

D

3

Question 2: Palette 2/23

AP-EAPCET 2025 MCQ

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

A

distance

B

time

C

temperature

D

mass

Question 3: Palette 3/23

AP-EAPCET 2025 MCQ

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

A

$\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right],\left[\mathrm{ML}^{-1 / 3} \mathrm{~T}^0\right]$

B

$\left[M^2 L^4 T^{-2}\right],\left[M^{1 / 3} L^{-1} T^0\right]$

C

$\left[\mathrm{M}^2 \mathrm{~L}^{-2} \mathrm{~T}^{-2}\right],\left[\mathrm{M}^{1 / 3} \mathrm{~L}^{-1} mathrm{~T}^0\right]$

D

$\left[\mathrm{M}^2 \mathrm{~L}^{-2} \mathrm{~T}^{-2}\right],\left[\mathrm{ML}^{-3} \mathrm{~T}^0\right]$

Question 4: Palette 4/23

AP-EAPCET 2025 MCQ

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

A

$2.4 \%$

B

$1.8 \%$

C

$1.2 \%$

D

$0.6 \%$

Question 5: Palette 5/23

AP-EAPCET 2025 MCQ

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

A

$\left[\mathrm{LT}^{-2}\right],[\mathrm{L}],[\mathrm{T}]$

B

$\left[\mathrm{L}^2\right],[\mathrm{L}],[\mathrm{T}]$

C

$\left[\mathrm{LT}^{-2}\right],[\mathrm{LT}],[\mathrm{L}]$

D

$[\mathrm{L}],[\mathrm{LT}],\left[\mathrm{L}^2\right]$

Question 6: Palette 6/23

AP-EAPCET 2025 MCQ

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

A

work and torque

B

angular momentum and Planck's constant

C

stress and linear momentum

D

surface tension and force constant

Question 7: Palette 7/23

AP-EAPCET 2025 MCQ

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

A

1

B

3

C

2

D

5

Question 8: Palette 8/23

AP-EAPCET 2025 MCQ

The dimensional formula of Planck's constant is

A

$\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]$

B

$\left[\mathrm{ML}^2 \mathrm{~T}^0\right]$

C

$\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]$

D

$\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]$

Question 9: Palette 9/23

AP-EAPCET 2025 MCQ

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

A

$22^{\circ} \mathrm{C} \pm 1^{\circ} \mathrm{C}$

B

$22^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C}$

C

$22^{\circ} \mathrm{C} \pm 0.25^{\circ} \mathrm{C}$

D

$22^{\circ} \mathrm{C} \pm 1.5^{\circ} \mathrm{C}$

Question 10: Palette 10/23

AP-EAPCET 2025 MCQ

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

A

strain

B

gravitational potential

C

surface energy

D

energy density

Question 11: Palette 11/23

AP-EAPCET 2024 MCQ

Which of the following is not a unit of permeability?

A

Henry metre ${ }^{-1}$

B

Weber ampere ${ }^{-1}$ metre $^{-1}$

C

Ohm second metre ${ }^{-1}$

D

Volt second metre ${ }^{-1}$

Question 12: Palette 12/23

AP-EAPCET 2024 MCQ

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

A

$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$

B

$\left[M L^5 T^{-2}\right]$

C

$\left[M^0 L^3 T^0\right]$

D

$\left[M L^3 \mathrm{~T}^{-2}\right]$

Question 13: Palette 13/23

AP-EAPCET 2024 MCQ

The length of the side of a cube is $1.2 \times 10^{-2} \mathrm{~m}$. Its volume up to correct significant figure is

A

$1.732 \times 10^{-6} \mathrm{~m}^3$

B

$1.73 \times 10^{-6} \mathrm{~m}^3$

C

$1.70 \times 10^{-6} \mathrm{~m}^3$

D

$1.7 \times 10^{-6} \mathrm{~m}^3$

Question 14: Palette 14/23

AP-EAPCET 2024 MCQ

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.

A

$\left[M^0 L^{-1 / 2} T^2\right]$

B

$\left[M^0 L^0 T^{3 / 2}\right]$

C

$\left[M^0 L^1 T^{-4}\right]$

D

$\left[M^0 L^{3 / 2} T^4\right]$

Question 15: Palette 15/23

AP-EAPCET 2024 MCQ

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

A

angle

B

length

C

mass

D

time

Question 16: Palette 16/23

AP-EAPCET 2024 MCQ

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

A

$11 \%$

B

$12 \%$

C

$14 \%$

D

$8 \%$

Question 17: Palette 17/23

AP-EAPCET 2022 MCQ

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

A

$\left[M L^2 T^{-1}\right]$ and $\left[M L^2 T\right]$

B

$\left[\mathrm{LT}^{-1}\right]$ and $\mathrm{[L T]}$

C

$\left[\mathrm{ML}^2 \mathrm{~T}^{-3}\right]$ and $\left[\mathrm{ML}^2 \mathrm{~T}^{-5}\right]$

D

$\left[\mathrm{MLT}^{-1}\right]$ and $\mathrm{[M L T]}$

Question 18: Palette 18/23

AP-EAPCET 2022 MCQ

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

A

Newton

B

Watt

C

Joule

D

Pascal

Question 19: Palette 19/23

AP-EAPCET 2022 MCQ

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

A

$N_A=N_B=N_C$

B

$N_A>N_B>N_C$

C

$N_A < N_B< N_C$

D

$N_A> N_B< N_C$

Question 20: Palette 20/23

AP-EAPCET 2021 MCQ

Which year was declared as the International year of Physics?

A

2002

B

2003

C

2005

D

2007

Question 21: Palette 21/23

AP-EAPCET 2021 MCQ

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

A

10$^{-6}$ mm

B

10$^{-7}$ mm

C

10$^{-8}$ mm

D

10$^{-9}$ mm

Question 22: Palette 22/23

AP-EAPCET 2021 MCQ

The dimensions of stress is

A

$\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]$

B

$\left[\mathrm{ML}^{-3} \mathrm{~T}^{-1}\right]$

C

$\left[M L^2 T^{-2}\right]$

D

$\left[\mathrm{ML}^{-3} \mathrm{~T}^{-2}\right]$

Question 23: Palette 23/23

AP-EAPCET 2021 MCQ

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

A

$\frac{\sigma}{\rho \lambda}$

B

$\frac{\rho}{\sigma \lambda}$

C

$\frac{\lambda}{\sigma \rho}$

D

$\sqrt{\frac{\rho \lambda}{\sigma}}$