The acceleration due to gravity is found up to an accuracy of $4\%$ on a planet. The energy supplied to a simple pendulum of known mass $m$ to undertake oscillations of time period $T$ is being estimated. If time period is measured to an accuracy of $3\%$, the accuracy to which $E$ is known as ________$\%$

If $E$ and $H$ represents the intensity of electric field and magnetizing field respectively, then the unit of $\frac{E}{H}$ will be:

A huge circular arc of length $4.4 \mathrm{ly}$ subtends an angle $4\mathrm{s}$ at the centre of the circle. How long it would take for a body to complete $4$ revolution if its speed is $8 \mathrm{AU}$ per second?
Given : $1 \mathrm{ly}=9.46\times {10}^{15} \mathrm{m}$

$1 \mathrm{AU}=1.5\times {10}^{11} \mathrm{m}$

Match List-$\left(\mathrm{I}\right)$ with List-$\left(\mathrm{II}\right)$.

Choose the most appropriate answer from the options given below:

Which of the following equations is dimensionally incorrect?

Where $t=$time, $h=$height, $s=$surface tension, $\theta =$angle, $\rho =$density $,a,r=$radius, $g=$ the acceleration due to gravity, $V=$volume, $p=$pressure, $W=$work done, $\tau =$torque, $ϵ=$permittivity, $E=$electric field, $J=$current density, $L=$length.

Choose the most appropriate answer from the option given below :