Class 11th

Molarity (M) = $\frac{w*1000}{molecularmass*volumeofsolution\left(ml\right)}$

= $\frac{6.3*1000}{126*250}=\frac{4}{20}=0.2M$

Molecular mass of oxalic acid $\left(H_2{C}_2{O}_4.2H_{2}O\right)$

= 1 * 2 + 12 * 2 + 16 * 4 + 2 * 18

              = 26 + 64 + 36 = 126

              M = 2 * 10^-1 M

              = 20 * 10^-2M

$\therefore x*10^{-2}=20*10^{-2}$

$\therefore x=20$

Ans. = 20

$A_3{B}_{2\left(s\right)}?3A_{\left(aq\right)}^{+2}+2B_{\left(aq\right)}^{3-}$

Solubility $\frac{x}{M}$ $\frac{3x}{M}$ $\frac{x}{M}$

$\therefore Ksp={\left[A^{+2}\right]}^3{\left[B^{-3}\right]}^2$

$={\left(\frac{3x}{M}\right)}^3{\left(\frac{2x}{M}\right)}^2$

$=108{\left(\frac{x}{M}\right)}^5$

$Ksp=a{\left(\frac{x}{M}\right)}^5=108{\left(\frac{x}{M}\right)}^5$

Ans. $\therefore$ a = 108

(a) Torque ® ML²T^-2 ↑ (iii)

(b) Impulse ® MlT^-1 ↑ (i)

(c) Tension ↑ MLT^-2 ↑ (iv)

(d) Surface Tension ↑  $\frac{ML{T}^{-2}}{L}=M{T}^{-2}$ (ii)

$\overrightarrow{L}=\overrightarrow{r}*\overrightarrow{p}\Rightarrow \overrightarrow{L}=mvr\left(\widehat{k}\right)$

Direction & magnitude both remain same

 for particle moving with constant speed.

$\frac{dP}{dV}=-aP,atV=V_0,P=P_0$

T_max =? for n = 1

$\frac{dP}{dV}=-aP$ (Given)

On integrating, we get

${\displaystyle \underset{P_0}{\overset{P}{\int }}\frac{dP}{P}}=-a{\displaystyle \underset{0}{\overset{v}{\int }}dV}$

$T_{max}=\frac{P_0}{aeR}?n=1$

$M{V}_0=M{V}_1+m{V}_2....\left(i\right)$

$\therefore M{V}_1=m{V}_2$  . (ii)

$M{V}_0^2=M{V}_1^2+m{V}_2^2$ . (iii)

$M{V}_0^2=M{V}_1^2+m{\left(\frac{M{V}_1}{m}\right)}^2\left[usinge{q}^n\left(ii\right)\right]$

$\left(1+\frac{M}{m}\right)=4$

${\left(\frac{M}{m}\right)}_{max}=3$

The main difference lies in the direction. We should know that in a longitudinal wave, the displacement of particles is parallel to the direction of wave propagation. In a transverse wave, however, the displacement is perpendicular to the direction of wave propagation.

The units of angular wave number and angular frequency are slightly different.

• Angular wave number k has units of radian per metre (rad/m).
• Angular frequency has units of radian per second (rad/s).

In Physics, we need to know that the phase angle tells us the position of a point within one cycle of a wave. That is measured in radians. It tells you how much a wave is ahead or, behind the other. On the other hand, the initial phase (or phase constant) is the phase angle at time t=0. It tells us where the wave begins with its oscillation cycle.