Physics

If $P_1=P$ then $P_2=P+5\%$ of $P=1.05P.$

From Boyle's law, $PV=constant$ therefore,

$\frac{V_2}{V_1}=\frac{P_1}{P_2}=\frac{P}{1.05P}=\frac{100}{105}$

Fractional change in volume is

$\frac{\Delta V}{V}=\frac{V_2-V_1}{V_1}=\frac{100-105}{105}=-\frac{5}{105}$

Therefore, percentage change in volume is

$\frac{\Delta V}{V}*100\%=-\frac{5}{105}*100\%=-4.76\%$

That is, volume decreases by $4.76\mathrm{\%}.$

According to this law, at any point, magnetic field due to a tiny current element is directly proportional to the current element length.

Tesla (T) is the SI unit of magnetic field. Tesla is named after Nikola Tesla.

The different types of magnetism are - Diamagnetism, Paramagnetism, and Ferromagnetism.

$As{V}^2=V_R^2+C_C^2$

$?V_R=\sqrt[]{V^2-V_C^2}=\sqrt[]{{10}^2-8^2}=6V$

$\tan ?\theta =\frac{X_C}{X_R}=\frac{V_C}{V_R}=\frac{8}{6}=\frac{4}{3}$  

Now,

From first law of thermodynamics

$?W=?Q-?U$

$?Q=n{C}_p?T$

$?U=n{C}_v?T$

$?W=n(C_p-C_v)?T$

$\frac{?Q}{?W}=\frac{\gamma }{\gamma -1}\left. [\frac{C_p}{C_p}=\gamma \right]$

From F.B. Ds of

$9kg\to 90-T_1=9a\dots .\left(1\right)$

$6kg\to T_1-T_2=6a\dots ..\left(2\right)$

$5kg\to T_2-50=5a\dots ..\left(3\right)$

$\left(1\right)+\left(2\right)+\left(3\right)$

$40=20a?a=2m/s^2$

Bulk modulus

$B=\frac{-\Delta P}{\Delta V/V}$

$B=-V\left[\frac{\Delta P}{\Delta V}\right]$

$B=-V\left[\frac{\partial P}{\partial V}\right]$

^{$B=-V\left[\frac{\partial P}{\partial V}\right]$}

$B=-V\left[\frac{-P}{V}\right]$

$\Rightarrow B=P$

Here  $\Delta V_c=0.5V,\Delta i_c=0.05mA=0.05*10^{-3}A$

Output resistance is given by

$R_{out}=\frac{\Delta V_c}{\Delta i_c}=\frac{0.5}{0.5*10^{-3}}=10^4\Omega =10k\Omega .$