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 $2Mn{O}_4+16HCl\to 2MnC{l}_2+2KCl+8H_{2}O+C{l}_2$

$KMn{O}_4$ oxidizes HCl to Cl₂, so HCl is not used in permanganate titration.

$\mathrm{U}$ and $\mathrm{H}$ are temperature dependent

${\mathrm{C}}_{\mathrm{P},\mathrm{m}}-{\mathrm{C}}_{\mathrm{V},\mathrm{m}}=\mathrm{R}$  (for 1 mole of ideal gas)

$\mathrm{d}\mathrm{U}={\mathrm{C}}_{\mathrm{V}}\mathrm{d}\mathrm{t}$

The UGC NET 2025 December session exam will be conducted online in Computer Based Test (CBT) mode at various centress across the country. The exam is administered by the National Testing Agency (NTA), and candidates must select their answers on a computer screen during the allotted time for each part of the exam.

To get into the Apollo School of Nursing, New Delhi, for certificate course admissions, candidates must meet the eligibility criteria set by the institute. Students must pass Class 12 in English and obtain a minimum of 40% aggregate. Apollo School of Nursing, New Delhi, offers the GNM course for three years. Students can get into this course based on merit. 

Indian School of Business Management and Administration, Chandigarh admissions are currently open for all courses. Candidates are selected for courses based on merit. Aspirants can also apply online. The institute offers various courses such as Executive MBA/PGDM, CFP, etc. Interested candidates meeting the eligibility criteria can fill out the form. 

${\left(2x^3+\frac{3}{x^k}\right)}^{12}$

gen term =

${=}^{12}{C}_r{2}^{12-r}.3^r.x^{36-3r-rk}$

For constant term

36 – 3r – rk = 0

$\Rightarrow k=\frac{36-3r}{r}$

for r = 1, 2, 4

¹²C_r2^12-r>2⁸

Possible values of k = 3, 1

Apollo College of Nursing Chittoor offers a wide range of programmes to students at the UG level. The college offers a BSc programme to students as its flagship course Further, candidates seeking admission to the BSc programme must have passed Class 12 with a 60% aggregate with Biology, Zoology, Physics, Chemistry, and English as compulsory subjects.

 No. of electron = 62 – 2 = 60

$68^{E{r}^{+3}}$ No. of electron = 68 – 3 = 65

$70^{Y{b}^{+2}}$ No. of electron = 70 – 2 = 68

$71^{Lu+3}$ No. of electron = 71 – 3 = 68

$65^{T{b}^{+4}}$ No. of electron = 65 – 4 = 61

$63^{E{u}^{+2}}$ No. of electron = 63 – 2 = 61

$65^{T{b}^{+2}}$ No. of electron = 65 – 2 = 63

$69^{T{m}^{+4}}$ No. of electron = 69 – 4 = 65

1 < a₁ < a₂ ……18 < 77

77 = 1 + (20 – 1) . d If n numbers are in A.P.

76 = 19 × d ⇒ d = 4

⇒ a₁ = 5

$\begin{array}{l}\therefore a_1+a_2+....+a_{18}\\ =\frac{18}{2}\left[2\times 5+17\times 4\right]=702\end{array}$          

$I_2+10HN{O}_3\left(conc\right)\to 2Hl{O}_3+10N{O}_2+4H_{2}O$

Modal Verbs or Modal Auxiliary Verbs are the helping verbs that help express the mood or attitude of the speaker. Simply put, modal verbs help describe the ability, necessity, permission, possibility, or obligation in a sentence. Modal Verbs are used before the V1 form of a main verb and do not change with the change in subject.

Modal Verbs include will, would, shall, should, can, could, might, need to, ought to, etc.

No, you cannot complete Certificate course at Raja Mansingh Tomar Music and Arts University in six months. The duration of this course at RMTU is one year. Candidates can choose from variety of streams available under the Certificate course. They must register with university before the last date. 

Apollo College of Nursing, Chittoor is a private college and was established in 2017. It is a constituent unit of the Apollo Institute of Medical Sciences and Research (AIMSR) and is affiliated with the Dr. NTR University of Health Sciences, Vijayawada, Andhra Pradesh. The college has a panel of guest lecturers to inspire students in their respective careers and to give them tips and invaluable insights in every course.

$I_2+10HN{O}_3\left(conc\right)\to 2Hl{O}_3+10N{O}_2+4H_{2}O$

(i) Foam - Froth (e)
(ii) Gel - Jellies (c)
(iii) Aerosol - smoke (a)
(iv) Emulsion - milk (f)

Alloy of Li & Mg is used to make armour plates and not aircraft plates. Calcium plays important roles in neuro-muscular function, interneuronal transmission and cell membrane integrity.

Candidates can choose from the following subjects under Certificate course in Music at Raja Mansingh Tomar Music and Arts University:-

• Vocal
• Tabla
• Pakhawaj
• Sitar
• Violin
• Guitar
• Harmonium
• Flute