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Since binary mass system performs circular motion about is common centre of mass, so

$m_A{\omega }_A^2{r}_A=\frac{G{m}_B{m}_A}{{\left(r_A+r_B\right)}^2}=\frac{G{m}_B{m}_A}{r^2}$

$m_A{\omega }_A^2\times \frac{m_B}{\left(m_A+m_B\right)}r=\frac{G{m}_B{m}_A}{r^2}$

${\omega }_A=\sqrt[]{\frac{G\left(m_A+m_B\right)}{r^3}}$

Similarly we can show that

${\omega }_B=\sqrt[]{\frac{G\left(m_A+m_B\right)}{r^3}}$

Hence their angular velocity will be same, time period will be same, i.e. TA = TB

The internship details recorded during the IIT Tirupati internships held during 2024 are presented below:

The inference is drawn from these lines of the 2^nd paragraph “The dramatic quality of the religious service lent itself to elaboration that perhaps first took the form of gestures and mime and later developed into dramatic interpolations on events or figures in the religious service.”. These lines also negate the last option.

UPES School of Law offers the flagship BALLB program, which is a popular programme for students seeking to build a career in Law. The course is offered in a variety of specializations. UPES School of Law BALLB admissions are held on the basis of entrance examinations. The accepted exams include CLAT,  LSAT India,  ULSAT, and CUET. The total tuition fees for UPES School of Law BALLB is INR 20.14 L - 22.25 L.

No, CUET exam is not mandatory for candidates who wish to take admissions into the BBA course of Kumaraguru College of Liberal Arts and Science. The CUET exam score can be used to evaluate a candidate if they have appeared for it. The admissions into BBA courses are done on merit basis where either the Class 12 board exam result or the CUET entrance exam result can be used for evaluation.

SVNIRTAR is an excellent college for those who wish to pursue a career in the field of rehabilitation of persons with locomotor disability, SVNIRTAR, Cuttack is also uniquely specialised in this area offering hands-on experience with patients and is equipped with state of the art labs and equipment. Furthermore, students of SVNIRTAR, Orissa consistently receive placements and internships with national and international companies in the field of medical technology and prostheses manufacture.

$\Rightarrow \frac{6}{3}=\frac{2}{-t}\Rightarrow t=-1$

 ->R (-1,0)

    $P{R}^2+R{Q}^2=20+5=25$          

Yes, there is one Indian student society at Kent University UK. It is a vibrant community dedicated to celebrating and sharing the rich cultural heritage of India. It does the following:

• Celebrates major Indian national and religious events
• Aim to raise awareness of Indian culture among all members
• Assists new students in settling into university life
• Provides a platform for members to interact with prominent Indian professionals and personalities

Time period of Satellite = T = $\frac{2\pi R}{v}={\left(\frac{4{\pi }^2{R}^3}{GM}\right)}^{\frac{1}{2}}$  

$\Rightarrow T\alpha R^{\frac{3}{2}}\Rightarrow \frac{T_2}{T_1}=\frac{{\left(1.02R\right)}^{\frac{3}{2}}}{R^{\frac{3}{2}}}={\left(1.02\right)}^{\frac{3}{2}}={\left(1+0.02\right)}^{\frac{3}{2}}$     

The percentage difference in the time periods of the two satellites = $\frac{\Delta T}{T_1}$ × 100

= (0.03) × 100 = 3%

A range of 5% to 15% reservation in government and aided educational institutions is eligible for minority reservation. Whereas, up to 30% reservation in the seats is provided by the state for certain professional courses. There are minority-run institutions that are separate set of Institutions that have the constitutional right to reserve up to 50% seats for students belonging to their own minority community.

Faculty of Law, Allahabad University offers the flagship BALLB program, which is a popular programme for students seeking to build a career in Law. The course is offered in a variety of specializations. Faculty of Law, Allahabad University BALLB admissions are held on the basis of entrance examinations. The accepted exam is CUET. The total tuition fees for Faculty of Law, Allahabad University BALLB is INR 1.6 L.

The seat matrix includes reservation quotas for categories such as SC, ST, OBC-NVL, EWS, PwD and many more. Apart from this, the seats are allocated on the basis of NCC, sports, minority, and various other categories. Every category is allocated some percentage of the total seats to be eligible based on the quota or reservation.

xf (x) + 2 = $\lambda$ (x – 2) (x – 3) (x – 4) (x – 5)

$x=0\Rightarrow \lambda =\frac{1}{60}$                

x = 10 -> 10f (10) = 26

The seat matrix guides seat allocation across various counselling rounds by indicating towards the vacant seats. This process ensures transparency and a fair admission, giving equal opportunity to everyone. In several cases, the vacant seat left by the end of the admission process is occupied on the basis of remaining quotas such as management.

Yes, the University of Kent is a leading research university with a majority of the REF submissions rated as world-leading or internationally excellent, according to the Research Excellence Framework 2021. A few of the university's key areas of research are:

• Creativity, Culture and Heritage
• Health, Social Care, and Wellbeing
• Cyber Security, Digital Technology, and Communication
• Health, Social Care, and Wellbeing
• Social Justice, Inequalities and Conflict

The duration of LLM course at HNLU Raipur - Hidayatullah National Law University is of one year. Admissions to this course are entrance-based and scores of the CLAT exam are accepted for the same. Candidates must appear for the CLAT exam and achieve a valid aggregate in the same to take admission in LLM course at HNLU Raipur - Hidayatullah National Law University.

Seat matrix varies as per the type of institution, location, course, and applicable reservation policies. Every institute or university adheres to a different set of policies to conduct seat matrix. These policies vary in facilitating on the basis of quotas, and reservations. Furthermore, the institutes tend to offer Management quota to students based on the provided eligibility criteria.

As we know that ${\upsilon }^2={\omega }^2\left(A^2-x^2\right)$ ${}^{}{}^{}{}^{}{}^{}$ for SHM, so

${\upsilon }_1^2={\omega }^2\left(A^2-x_1^2\right).......\left(i\right),and{\upsilon }_2^2={\omega }^2\left(A^2-x_2^2\right).........\left(ii\right)$

Subtracting equation (ii) from equation (i), we have

${\upsilon }_1^2-{\upsilon }_2^2={\omega }^2\left(x_2^2-x_1^2\right)\Rightarrow \omega =\frac{2\pi }{T}=\sqrt[]{\frac{{\upsilon }_1^2-{\upsilon }_2^2}{x_2^2-x_1^2}}\Rightarrow T=2\pi \sqrt[]{\frac{x_2^2-x_1^2}{{\upsilon }_1^2-{\upsilon }_2^2}}$

Option D can be generalized by reading the first paragraph. The author has provided many evidences but has especially mentioned 'the Scandinavian texts' as they didn't provide any evidence of oral recitation but only texts.