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According to definition of displacement current, we can write

$I_d={\epsilon }_0\frac{d?}{dt}={\epsilon }_0\frac{d\left(ES\right)}{dt}={\epsilon }_0\frac{d\left(\frac{V}{\mathcal{l}}S\right)}{dt}=\frac{{\epsilon }_{0}S}{\mathcal{l}}\left(\frac{dV}{dt}\right)$

$\Rightarrow \mathcal{l}=\frac{8.85\times 10^{-12}\times 40\times 10^{-4}\times 10^6}{4.425\times 10^{-6}}8\times 10^{-3}m$

According to Work energy theorem, we can write

$K_f-K_i=W_{ElectricForce}\Rightarrow \frac{1}{2}m{v}^2-\frac{1}{2}m{v}_0^2=-eV\Rightarrow v^2=v_0^2-\frac{2eV}{m}$

$\Rightarrow v^2={\left(6.0\times 10^5\right)}^2-\frac{2\times 1.6\times 10^{-19}}{9\times 10^{-31}}=\frac{324-128}{9}\times 10^{10}=\frac{196}{9}\times 10^{10}\Rightarrow V=\frac{14}{3}\times 10^{5}m/s$

According to Kirchhoff’s Law, we can write

20 + 2000I + 600 × 5I = 0 $\Rightarrow I=\frac{20}{5000}A$

Reading of voltmeter = 2000I = 2000 × $\frac{20}{5000}=8volt$

The selection process for BTech courses at SRMCEM Lucknow includes entrance-examination scores, followed by a counselling process. Before this, applicants are required to complete the primary eligibility criteria, which requires applicants to complete their Class 12 from PCM stream with a minimum aggregate of 45% (40% for reserved categories). The names of the accepted entrance exams are CUET UG/ JEE Mains. 

According to Concept of resonance tube, we can write

$\frac{\lambda }{4}+e={\mathcal{l}}_{1}and\frac{3\lambda }{4}+e={\mathcal{l}}_2\Rightarrow \frac{\lambda }{2}={\mathcal{l}}_2-{\mathcal{l}}_1\Rightarrow \frac{V}{2\nu }={\mathcal{l}}_2-{\mathcal{l}}_1$

$\Rightarrow {\mathcal{l}}_2=\frac{v}{2\nu }+{\mathcal{l}}_1=\frac{336}{400}+0.20=0.84+0.20=1.04m=104cm$

mg = F_B + F_v $\Rightarrow \frac{4\pi }{3}{r}^3\rho g=\frac{4\pi }{3}{r}^3\sigma g+6\pi \eta rv$

$\Rightarrow v=\frac{2r^2\left(\rho -\sigma \right)g}{9\eta }=\frac{2\times 0.1\times 0.1\times 10^{-6}\times \left(10^4-10^3\right)\times 10}{9\times 1.0\times 10^{-5}}$

$\Rightarrow h=\frac{400}{2g}=20m$

The total fee structure for BTech courses at SRMCEM Lucknow includes multiple components, such as tuition fee, hostel fee, training fee, admission fee, etc. Check out the names of the fee components and their amounts in the table given below:

The fee amount mentioned is sourced from the official website/sanctioning body and is subject to change. Therefore, it is indicative. Check

Least count of Vernier = 0.1mm

$\Rightarrow$ Reading of Vernier Scale = 5 × 0.1 = 0.5mm

The corrected diameter of sphere = Main Scale Reading + Vernier Scale reading + Zero correction = 1.7 + 0.05 + 0.05 = 1.8cm = 180 × 102 cm.

The basic eligibility requirements to get admission into BTech courses at SRMCEM Lucknow are that applicants must complete their Class 12 from PCM stream with an aggregate of 45% (40% for reserved categories). Additionally, for BTech in CSE and its other sub-specialisations, candidates must have studied Physics, Mathematics, and Chemistry/ Computer Science. 
Moreover, for the selection process, the college accepts relevant scores of CUET UG/ JEE Mains, followed by a counselling process. The college also offers 15% of the seats to management quota. 

Yes, SRMCEM Lucknow does offers BTech courses for the duration of four years, and they are offered in full-time mode. The college also offers BTech Lateral Entry admission to some of the offered specialisations. The minimum eligibility requirements for admissions to BTech courses are that applicants must complete their Class 12 from PCM with a minimum aggregate of 45% (40% for reserved categories). The college offers several specialisations in BTech courses. 

It is unlikely to get admission in MBM Engineering College for BTech CSE with 72 percentile, CRL of 415565 and category rank of 27783 in JEE Main

Yes, direct admission may be possible for some courses at Ramakrishna Mission Vivekananda Centenary College (RMVCC). These include- MSc and PG Diploma courses. However, for admission in BSc course candidates must appear for an admission entrance test that is conducted by the college itself. Interested candidates can apply on the official website of the institute before the admission closes.