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n-factor of KMnO₄ in acidic medium = 5

n-factor of Mohr's salt = 1

meq of KMnO₄ = meq of Mohr's salt

0.01 * 5 * V = 0.05 * 1 * 20

Volume of KMnO₄ used, V = 20 mL

So; Volume of KMnO₄ left in burette = 50 -20mL

= 30 mL

 $T^2\alpha R^3$

$\begin{array}{l}\Rightarrow \frac{{T_1}^2}{{T_2}^2}=\frac{{R_1}^3}{{R_2}^3}\\ \Rightarrow \frac{{T_1}^2}{{T_2}^2}=\frac{R^3}{{\left(3R\right)}^3}\\ T_2=3\sqrt[]{3}years\end{array}$

.For maxima = y = (2n + 1) $\frac{\lambda }{2}\frac{D}{a}$ $\frac{}{}\frac{}{}$

For 1st maxima for l1 wavelength (n = 1)

${}_{}\frac{{}_{}}{}\frac{}{}$  $y_1=\frac{3{\lambda }_1}{2}\frac{D}{a}$ - (1)

First maxima for l2 wavelength

${}_{}$ $y_2=\frac{3}{2}{\lambda }_2\frac{D}{a}$  - (2)

$\Rightarrow y_2-y_1=\frac{3}{2}\frac{D}{a}\left[{\lambda }_2-{\lambda }_1\right]$

$=\frac{3}{2}\times \frac{2\times 5\times 10^{-9}}{0.5\times 10^{-3}}$

$=\frac{3}{10^{-3}}\times 10^{-8}$

$\Delta y=3\times 10^{-5}m$

Velocity gradient = $\frac{dv}{dx}=\frac{L{T}^{-1}}{L}=T^{-1}$

Decay constant $\left(\lambda \right)=\frac{0.693}{T_{\frac{1}{2}}}=T^{-1}$

Moles of C = moles of CO₂

=  $\frac{0.793}{44}mol$

Mass of C =  $\frac{0.793}{44}\times 12g$

= 0.261g

Moles of H = 2 ×  $\frac{0.442}{18}mol$

Mass of H =  $2\times \frac{0.442}{18}\times 1g$

Total mass of compound = 0.492g (given)

So; mass of O = (0.492 – 0.216 – 0.049) g

= 0.227g

% of O = $\frac{0.227}{0.492}\times 100$  

= 46.14%

the nearest integer = 46

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Let l = l₀ cos wt

Then v = v₀ sinwt

at t = 0, v = 0

but l = l₀

$l_{rms}=\frac{l_0}{\sqrt[]{2}}$

$V_{rms}=l_{rms}z$      

$\Rightarrow 220=\frac{l_0}{\sqrt[]{2}}\left(X_L\right)$        

$\Rightarrow 220=\frac{l_0}{\sqrt[]{2}}\left(2\pi \times 50\times 200\times 10^{-3}\right)$        

$\Rightarrow 220=\frac{l_0}{\sqrt[]{2}}\left(20\pi \right)$

$l_0=\frac{220\sqrt[]{2}}{20\pi }$  

$l_0=\frac{11\sqrt[]{2}}{\pi }=\frac{\sqrt[]{a}}{\pi }$

a = 121 × 2

a = 242

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 MDI Gurgaon hostel rooms are airy and spacious and have basic amenities, including a bed, a study table, a chair, a cupboard, and the usual fixtures. Takshashila hostel is also available for executive graduate programs (PGDM-BM). The rooms for the PGDM-BM students are semi-furnished, with reception halls and air-conditioned dining halls. For Management Development Programs, Parthenon and Nalanda hostels are available for the executives. The rooms are air-conditioned and are fully furnished with modern amenities. All the hostelers have the mess facility. 

Netaji Subhas University of Technology has released the placement report for the Class of 2025. The key highlights of are tabulated below:

Bromination through free radical mechanism occurs at allylic carbon.

The institute has six hostels: four for boys and two for girls. Chaitanya, Change Masters, Takshashila,  and Kshitij are the boys hostels, of which twin-sharing accommodation is available for Chaitanya, Change Masters, and Takshashila. While for Kshitij, accommodation is available on a twin-sharing/four-sharing basis. For girls,  Oddessy  (twin-sharing) and Kaveri  (twin/triple-sharing) are available for accommodation. 

I_b = 10 µA

I_C = 1.5 mA

R_L = 50 kW or (Rc)

Base – emitter voltage = 10 mv

$R_B=\frac{V_B}{I_B}=\frac{10\times 10^{-3}}{10\times 10^{-6}}=10^3\Omega$

$A_v=\left(\frac{\Delta l_C}{\Delta l_B}\right)\times \left(\frac{R_C}{R_B}\right)$

= $\frac{1.5\times 10^{-3}}{10\times 10^{-6}}\times \frac{5\times 10^3}{10^3}$  

A_v = 750

Netaji Subhas University of Technology concluded the placements for the Class of 2025 with an average package of INR 18 LPA. The salary package offered during NSUT placement fro the Class of 2024 and 2025 are tabulated below:

MDI Gurgaon library opens seven days a week, and the timing is 9 AM to 2 AM for weekdays and 9 AM to 12 PM for weekends. The library has a huge collection of both printed and electronic resources, including books, journals, databases, audio-visual materials, CDs/DVDs, etc. E-library services can be accessed anytime and from anywhere.

Candidates have to submit the educational certificates and identity proofs copies and originals during form filling and admission. These documents are required to verify that the candidate is eligible for MBA at CMJ University. A few documents that the candidates should keep in handy are as follows:

• UG degree mark sheet
• Class 10 and 12 mark sheet
• Aadhaar card, etc.

f₁ = 15 cm          

$P_1=\frac{1}{15}\times 100=\frac{100}{15}D$

$P_3=\frac{100}{15}D$

$\frac{1}{f^2}=\left({\mu }_2-1\right)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)$

$=\left(1.25-1\right)\times \frac{-2}{R}$

$\frac{1}{f_2}=\frac{0.25\times -2}{15}$

$\frac{1}{f_2}=\frac{-1}{30}c{m}^{-1}$

$\begin{array}{l}{p}_2=\frac{1}{f_2}=-\frac{100}{30}\\ P_R=P_1+P_2+P_3\\ P_R=\frac{100}{15}-\frac{100}{30}+\frac{100}{15}\\ P_R=10D\end{array}$

$P_R=\frac{1}{f_R}$

$f_R=\frac{1}{10}\times 100cm$

$f_R=10cm$        

For the PGDM-BM course, the MDI Gurgaon hostel fee is INR 165,500. This amount is for twin-sharing hostel rooms. For single occupancy, the hostel charge is INR 299,600. An average amount of INR 4,000 to INR 5,000 will also be charged for the mess facility. For the PGDM-HRM program, the boarding charge is INR 208,400 for two years. The lodging charge for two years is INR 219,500. 

$V_{rms}\alpha \sqrt[]{T}|T_i=127°C=400k.$

$V_{rm{s}^1}=2V_{rms},m=0.056kg=56g$   

T_f = 4T_i = 4 × 400 = 1600 k

$Q=n{c}_v\Delta T=\left(\frac{m}{M}\right)C_v\Delta T$        

=  $\left(\frac{56}{28}\right)\frac{5}{2}R\Delta T$

=  $2\times \frac{5}{2}\times 2\times 1200$

Q = 12 × 10³ cal

= 12 k cal