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This is a Short Answer Type Questions as classified in NCERT Exemplar

For water, molar heat capacity = 18 x Specific heat or Cp = 18 x c

But, specific heat,

C = 4.18 J g^-1 K^-1 Heat capacity,

Cp = 18 x 4.18 JK^-1  = 75.24 JK^-1

Yes, I-Business Institute offers a two-year long PGDM programme. The mode of study is full-time. Candidates wanting to take admission must fulfil the eligibility and selection criteria. The eligible students can visit the official website to apply. 

Queensland University of Technology offers over 200 undergraduate and graduate courses for international students. Some popular core fields opted by the students are Business, Engineering, Education, Health, Law, Science, and more. The university offers flexibility in learning, where students can choose between on-campus and online options. In addition, QUT focuses more on hands-on learning, internships, and industry placements to prepare students for the toughest placements.

$\frac{1}{2}.$

So, $\frac{1}{x-x^3}=\frac{1}{x}+\frac{1}{2}\frac{1}{\left(1-x\right)}-\frac{1}{2}\frac{1}{\left(1+x\right)}$

$\therefore {\displaystyle \int \frac{dx}{x-x^3}}={\displaystyle \int \frac{dx}{x}}+\frac{1}{2}{\displaystyle \int \frac{dx}{1-x}}-\frac{1}{2}{\displaystyle \int \frac{dx}{1+x}}$

= log |x| + $\frac{1}{2}$ log $\frac{log|1-x|}{(-1)}-\frac{1}{2}$ log |1 + x|

= $\frac{1}{2}\left[2log\left|x\right|-log|1-x|-log|1+x|\right]+\; C$

= $\frac{1}{2}\left[log{x}^2-log(1-x)(1+x)\right]+\; C$

= $\frac{1}{2}log\left(\frac{x^2}{1-x^2}\right)+\; C$

36. Graphite has greater entropy since it is loosely packed. At absolute zero the entropy of a substance is zero.

Sasurie College of Engineering was established by the Ponmudi Muthusamy Gounder Trust, Tirupur in 2001. The college offers UG and PG courses to students. These courses are provided across the Management, Engineering, Computer Application, and various other streams. The flagship programmes available at this college are B.E./BTech and MBA. The college provides various facilities to students such as sports facilities, library, hostel, and others. The college offers placement assistance to students and is visited by top companies for placements. Hence, it is a good college. 

Yes, Sasurie College of Engineering has collaborated with various companies and organisations. The college has signed MoUs with various industries and colleges. The below-mentioned are the Sasurie College of Engineering collaborations:

Hi, Amity University Noida is the top Hotel Management college in India according to India Today for the year 2024. Amity University offer Hotel Management courses to their students at a fee of INR 9 lakh. 

This is a Short Answer Type Questions as classified in NCERT Exemplar

During free expansion, external pressure is zero, so Work done, w = -pextΔV

= -0(5 – 1) = 0

Since the gas is expanding isothermally, therefore, q = 0

ΔU = q + w =0+0=0

Let I = ${\displaystyle {\int }_0^{\raisebox{1ex}{$x$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}log}\frac{4+3sinx}{4+3cosx}dx.$ ______(i)

= ${\displaystyle {\int }_0^{\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.}log}\frac{4+3sin\left(\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.-x\right)}{4+3cos\left(\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.-x\right)}dx.$

I = ${\displaystyle {\int }_0^{\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.}log}\frac{4+3cosx}{4+3sinx}dx$ ______(ii)

Adding (i) & (ii) we get,

2I = ${\displaystyle {\int }_0^{\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.}\left[log\left(\frac{4+3sinx}{4+3cosx}\right)+log\left(\frac{4+3cosx}{4+3sinx}\right)\right]}dx$

= ${\displaystyle {\int }_0^{\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.}log}\left(\frac{4+3sinx}{4+3cosx}\times \frac{4+3sinx}{4+3cosinx}\right)dx$

= ${{\displaystyle \int }}^{\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$ log 1 dx

= ${{\displaystyle \int }}^{\raisebox{1ex}{$\pi $}\!\left/ \!\raisebox{-1ex}{$2$}\right.}$ × 0 dx

= 0

I = 0.

?Option (C) is correct

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Yes, UG courses are worth pursuing at Sasurie College of Engineering. Sasurie College of Engineering popular programmes are B.E./BTech and MBA. B.E./BTech and MBA students are placed in top companies at top positions. B.E/BTech graduates are professionally competent in their chosen careers and also use various appropriate techniques and modern Engineering tools in executing several projects. 

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Source: Official site and may vary.