1
AP EAPCET 2025 - 27th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

2
AP EAPCET 2025 - 26th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

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

3
AP EAPCET 2025 - 24th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

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

$0.6 \%$

4
AP EAPCET 2025 - 23rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

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

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