TS EAMCET 2023 (Online) 13th May Morning Shift | Units & Measurement and Dimensions Question 14 | Physics

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 $s_2$ ) and times ( $t_1$ and $t_2$ ) in the two systems are respectively

$s_2=\left(\frac{n}{m}\right)^3 s_1$ and $t_2=\frac{n^2}{m} t_1$

$s_2=\left(\frac{n}{m}\right)^3 s_1$ and $t_2=\frac{m}{n^2} t_1$

$s_2=\frac{m}{n^2} s_1$ and $t_2=\frac{m^2}{n^4} t_1$

$s_2=\frac{n^2}{m} s_1$ and $t_2=\frac{m^2}{n^4} t_1$

TS EAMCET 2023 (Online) 12th May Evening Shift

MCQ (Single Correct Answer)

-0

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

TS EAMCET 2023 (Online) 12th May Morning Shift

MCQ (Single Correct Answer)

-0

Which of the following pairs has same dimensions?

Current density and charge density

Angular momentum and linear momentum

Spring constant and surface energy

Force and torque

TS EAMCET 2022 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

-0

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

$c^3 G^{-2} h^1$

$c^5 G^{-2} h^{-1}$

$\mathrm{c}^{-3 / 2} \mathrm{G}^{-1 / 2} h^{1 / 2}$

$c^{9 / 2} G^{-1 / 2} h^{-1 / 2}$

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