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This is a multiple choice answer as classified in NCERT Exemplar

(a, b, c) Here, magnetic flux linked with the isolated coil change when the coil being in a time varying magnetic field, the coil moving in a constant magnetic field or in time varying magnetic field.

Admission to the Siva Sivani Degree College Hyderabad (SSDCH) BCom course is completely merit-based. To be eligible for BCom course, candidates are required to complete their Class 12 with CEC/ MEC/ MPC/ Bi.PC/ HEC subjects. Moreover, the college releases the merit after evaluating candidates' performance in their higher senior secondary. 

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This is a multiple choice answer as classified in NCERT Exemplar

(a, b, d) A metal plate is getting heated when a DC or AC current is passed through the plate, known as heating effect of current. Also, when metal plate is subjected to time varying magnetic field, the magnetic flux linked with the plate changes and eddy currents comes into existence which make the plate hot.

Yes, I can get direct admission at Profcyma Career Solutions. The institute offers admission based on merit. Aspiring candidates must qualify for the eligibility criteria set by the institute for the desired course. Profcyma Career Solutions course admission begins with the online application. Interested candidates must fill out the online application for the respective course on the official website of the institute.

Lifeline Institute of Management and Science offers courses at the UG, PG and Diploma levels in full-time mode. The Institute offers respective courses across the fields of Business and Management Studies, Hospitality and Travel, Medicine and Health Sciences. The fees structure of the respective course includes a total tuition fees ranging between INR 77K to INR 3.4 Lakh. Considering to other private Institutes offering the same set of courses, the Institute offers these courses with 100% placement assistance and various opportunities along side academia. 

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This is a multiple choice answer as classified in NCERT Exemplar

(b) The self-inductance of a long solenoid of cross-sectional area A and length l, having n turns per unit length, filled the inside of the solenoid with a material of relative

permeability (e g. ., soft iron, which has a high value of relative permeability) is given by the relation L = ${\mu }_r{\mu }_o$ n²A/l

Lifeline Institute of Management and Science offers PG and UG Degree and Diploma programmes for students in full-time mode. The Institute offers a variety of courses such as B.Voc, BBA, BHM, BMLT, MBA/PGDM, MHMCT, UG Diploma in major streams including Business and Management Studies, Hospitality and Travel, Medicine and Health Sciences. Some of the top courses of the Institute will be MBA, BMLT, BBA and BVoc. 

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${\displaystyle {\int }_4^5{e}^{x}dx}={\left[e^x\right]}_4^5=e^5-e^4=e^4\left(e-1\right)$

The duration of certificate courses at NIELIT Shillong is around 80 hours. Candidates who enrol in the certificate courses at NIELIT Shillong need to clear the final exam to gain the certificate of the course pursued. There are around 7 different certificate courses offered by NIELIT Shillong. The courses offered are short term courses which require candidates to have a basic knowledge of operating computers as well as the English landguage.

Yes, admissions are easy in the University of Madras. The mode of the University of Madras course admissions is online. Admission to various courses is based on merit and entrance exam scores. The accepted entrance exams are TANCET, MAT, and others. If the aspirants are applying through any other entrance test scores, visit the official site & register for the entrance test. Then appear for the exam. With valid scores visit the official website of Madras University and apply for admission. 

$\begin{array}{l}{{\displaystyle {\int }_0^{\pi /2}cos2xdx=\left[\frac{sin2x}{2}\right]}}_0^{\pi /2}=\frac{sin2\times \pi /2}{2}-\frac{sin2\times 0}{2}\\ =\frac{si\mathrm{n\pi }}{2}-0\\ =0\end{array}$

$\begin{array}{l}{{\displaystyle {\int }_0^{/4}sin2xdx=\left[\frac{-cos2x}{2}\right]}}_0^{\pi /4}\\ =\left[\frac{-cos2\times \pi /4}{2}+\frac{cos2\times 0}{2}\right]\\ =\frac{-cos\pi /2}{2}+\frac{cos0}{2}\\ =0+\frac{1}{2}=\frac{1}{2}\end{array}$

This is a multiple choice answer as classified in NCERT Exemplar

(a) When the current in B (at t= 0) is counter-clockwise and the coil A is considered above to it. The counterclockwise flow of the current in B is equivalent to north pole of magnet and magnetic field lines are emanating upward to coil A. When coil A start rotating at (t= 0), the current in A is constant along clockwise direction by Lenz's rule.

$\begin{array}{l}{\displaystyle {\int }_1^2\left(4x^3-5x^2+6x+9\right)}dx.\\ ={\left[4\times \frac{x^4}{4}-5\times \frac{x^3}{3}+6\frac{x^2}{2}+9x\right]}_1^2\\ ={\left[x^4-\frac{5}{3}{x}^3+3x^2+9x\right]}_1^2\\ =\left[2^4-\frac{5}{x}\times 2^3+3\times 2^2+9\times 2\right]-\left[1^4-\frac{5}{3}\times 1^3+3\times 1^2+9\times 1\right]\\ =\left[16-\frac{40}{3}+12+18\right]-\left[1-\frac{5}{3}+3+9\right]\\ =\left[\frac{48-40+36+54}{3}\right]-\left[\frac{3-5+9+27}{3}\right]\\ =\frac{98}{3}-\frac{34}{3}=\frac{64}{3}.\end{array}$

The syllabus of BSc in Food Science and Nutrition has a moderate difficulty level. It requires a good foundation in subjects like biology and chemistry. While the study material is interesting, it may require a dedicated effort by the average students. It also highly depends on the individual's capabilities and interest in the relevant field.