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Elastic potential energy stored in the spring

$U=\frac{1}{2}k{x}^2$

$=\frac{1}{2}Fx=\frac{F^2}{2k}$

$Hence\frac{U_1}{U_2}=\frac{k_2}{k_1}\left. [Fissameforbothsprings\right]$

$=\frac{500}{1200}=\frac{5}{12}$

(b)  L₁₌  Length of rod =20.123cm

L₂₌  Length of rod = 18.1cm

Difference in length  

= 20.123-18.1

 =2.0 cm

$K.E.\propto t^2$

$\begin{array}{l}\Rightarrow \frac{1}{2}m{v}^2\propto t^2\\ \Rightarrow v\propto t\\ \Rightarrow \frac{dv}{dt}=constant\\ \Rightarrow F=ma=\frac{mdv}{dt}=constant\end{array}$

From work energy theorem

$W_{sp}+W_E=?K$

$-\frac{1}{2}k{x}_0^2+QE.x_0=0$

$?x_0=\frac{2QE}{k}$

$\Delta V_L=V_{0\gamma \Delta T}$

$\Rightarrow \Delta V_s=V_0\times 3\times \frac{\gamma }{3}\times \Delta T$

$\Rightarrow \Delta V_L-\Delta V_S=0$

Applying Bernoulli’s theorem

$\Rightarrow P_0+\rho g2h+2\rho gh+0=P_0+\frac{1}{2}2\rho v^2$

$\Rightarrow V^2=4gh$

$\Rightarrow v=2\sqrt[]{gh}$

Yes, €3,000 is a good monthly salary to live comfortably in Ireland. Here is a detailed overview of how you can spend your €3,000 monthly salary on basic and additional expenses in Ireland:

Well, not a lavish life but yes, you can live comfortably if your monthly salary is €3,000. This can cover all your essential expenses in Ireland and also allow you to save some. 

Flux through a surface $\mathrm{?}=\stackrel{?}{E}.\stackrel{?}{A}$  

$\mathrm{?}=\left(6\stackrel{?}{i}-4\stackrel{?}{j}+7\stackrel{?}{k}\right).200\stackrel{?}{i}$

$=1200unit$

Yes, LKY School of Public Policy offers placement opportunities to its students at some of the best government & private organizations in Singapore & across the globe.

As per the latest employment data (2022) made available by the institute, 87% of students secured placements within first 6 months of completing respective graduations.

_θR = $\frac{1}{60°}$  for human eye

$\Rightarrow \frac{{\theta }_R}{2}=\frac{6.28}{2\times x}$

$\Rightarrow x=21.6km$

No, the CUEE exam conducting authorities will not arrange for travel and accommodation, and it has to be done by the candidate or his/her family. The exam centre should be selected by the candidate while filling out the application form. Candidates are allotted an exam centre from the list of centres selected by the candidates while filling out the application form. 

For no emission of electron

$\lambda >{\lambda }_0$

$?{\lambda }_0=\frac{hc}{w_0},so\lambda >\frac{hc}{w_0}$

The average cost of living in Ireland for Indian students ranges from €1,200 to €1,900 per month. This range is inclusive of all living components like accommodation, food, transportation, groceries, utilities, etc.  However, students must note that the average cost of living may vary depending on location, university, and place of stay.

Check below the marking scheme for SPJAT exam:

Resistance of whole wire is

$R=r^{\text{'}}\times l$

$20=1\times l$

$l=20m$

Let length of the shorter section = a

$\frac{1}{R}=\frac{1}{a}+\frac{1}{\left(20-a\right)}$

$\frac{1}{1.8}=\frac{20-a+a}{a\left(20-a\right)}?20a-a^2=36$

$a=2and18$

$?a=2m$

The top recruiters that participated during the placement drive are presented below:

 In that case, candidates have to choose that city itself and arrange the travel and other logistics well in advance. The candidate can also opt for an online, remote proctored exam and take the exam at home. 

Yes, studying in Ireland may be somewhat cheaper for Indian students in comparison to studying in other major destinations. The average cost of studying in Ireland for international students ranges from €12,000 to €29,000 per year, and the cost to live in Ireland ranges from €1,200 to €1,900.

Haan ho skta hai

Candidates need to select the exam city of their preference in the state while applying for the CUEE. Allotment will be done as per preference and availability. The exam details will be provided on the CUEE admit card.