Class 11th

$x=Asin\omega t$

Angle travelled by while moving from A to B

$\theta =30°=\frac{\pi °}{6}$

$\theta =\omega t$

$\frac{\pi }{6}=\omega *3\left[t=3sec\right]$

$\omega =\frac{\pi }{18}$

$\Rightarrow T=\frac{2\pi }{\omega }=\frac{2\pi *18}{\pi }=36sec$

T = 36 sec

mg = pvg

mg = d₁vg           ……. (i)

F_b = weight of fluid displaced = d₂vg         …… (ii)

by NLM 1            F_b + F_v = mg

F_V = mg - F_b

$F_v=mg\left(1-\frac{d_2}{d_1}\right)$

Com (Conservation of Momentum)

Pi = Pf

$\Rightarrow m{u}_1+5m{u}_2=m{v}_1+5m{v}_2$

$\Rightarrow m{u}_1=m{v}_1+5m{v}_2$

${}_{}$ $\Rightarrow u_1+v_1+5v_2$  …….(i)

& $e=1=\frac{v_2-v_1}{U_1-U_2}=\frac{v_2-v_1}{u_1}$ $\frac{{}_{}{}_{}}{{}_{}{}_{}}\frac{{}_{}{}_{}}{{}_{}}$

${}_{}{}_{}{}_{}$  $\Rightarrow u_1=v_2-v_1$ …….(ii)

Equation (i) + (ii)

$k.E_T=\frac{5}{9}{\left(K.E\right)}_i=55.6\mathrm{\%}$

The law of gravitation holds good for any pair of bodies in the universe.

This is correct statement.

The weight of any person becomes zero when the person is at the centre of the Earth.

Weight = mg

= m * 0 [g = 0 at the centre of the Earth]

= 0

$\mathrm{}{V}_{rms}>V_{av}>V_{mp}$

To keep,   $\Delta {\alpha }_{cm}=0$

      $M_1\Delta x_1+M_2\Delta X_2=0$          

$\Rightarrow 10*6+30\Delta X_2=0$      

$\Delta X_2=\frac{-10*6}{30}$

$\Delta X_2=-2cm$        

i.e. 2 cm towards the 10 kg block.

Assume both the block is moving with common acceleration 'a' then

$a=\frac{F}{m+M}.......(i)$

N = mg

N = 2g

$f=ma=\frac{mF}{m+M}$

For no slipping

$\Rightarrow \frac{2F}{10}\le g$

$F\le 5g$

$\begin{array}{l}F\le 5*9.8\\ F\le 49.0N\end{array}$

$\mathrm{C}\mathrm{l}>\mathrm{F}$   (exception)

$\mathrm{S}>$ Se (size effect)

$\mathrm{L}\mathrm{i}>\mathrm{N}\mathrm{a}$   (size effect)

Given, m = 0.6 $\pm$ $$ 0.006

$\Rightarrow p=\frac{m}{v}=\frac{m}{\pi r^2\mathcal{l}}$

$\frac{\Delta \rho }{\rho }*100=\frac{\Delta m}{m}*100+2\frac{\Delta r}{r}*100+\frac{\Delta \mathcal{l}}{\mathcal{l}}*100$

= 1 + 2 * 1 + 1

$\mathrm{}{\mathrm{N}}_2+{\mathrm{O}}_2?2\mathrm{N}\mathrm{O}$

Oxidation state changes