Ask & Answer: India's Largest Education Community

The University of Manchester and University of Edinburgh are some of the finest universities in the United Kingdom. University of Manchester is located in Manchester, Greater Manchester, UK and University of Edinburgh is located in Edinburgh, UK. Each university has its own advantages and demerits. Check the comparison below between University of Manchester and Edinburgh University:

5. (i) A = {1, 3, 5, 7, …}

(ii) B = {0,1,2,3,4} (as $\frac{9}{2}$ =4.5 and $-\frac{1}{2}$ = –0.5)

(iii) x² ≤ 4

x² ≤ 2²

x ≤ ± 2

So, C = {–2, –1,0,1,2}

(iv) D = {L, O, Y, A}

(v) E = {February, April, June, September, November}

(vi) F = {b, c, d, f, g, h, j}

Mass of the oxygen molecule, m = 5.30 × 10^-26 kg

Moment of inertia, I = 1.94×10^-46 kg m²

Velocity of the oxygen molecule, v = 500 m/s

the separation of atoms in oxygen molecule = 2r.

the mass of each oxygen atom = (m/2)

Moment of inertia I can be calculated as I = (m/2)r² + (m/2)r²

hence r = $\sqrt{I/m}$

r = sqrt (1.94×10^-46 / 5.30 × 10^-26 = 6.05 x 10^-11

It is given that KErotation = KEtranslation

(1/2)I $\frac{1}{2}m{v}^2$ = (2/3) (1/2)mv2

$m{v}^2$ = (v/r) $\sqrt{I/m}$

${\omega }^2$ = 6.8 x 1012 rad/s

Pandit SN Shukla University provide scholarships through the MP scholarship portal. Aspirants who meet the criteria eligibility criteria of the scholarship schemes can avail them. Some of the available schemes are:

• Gaon Ki Beti Yojna
• Mukhya Mantri Medhavi Vidyarthi
• Awas Sahayta Yojana (SC, ST Students)
• Pratibha Kiran Scholarship Yojna
• Vikramaditya Scholarship Yojna

MBA fee structure at NIPS includes more than just tuition costs. It may also cover application fees, refundable security deposits, hostel accommodation, and mess charges. As the structure is subject to revision, students are advised to verify the latest details from official university sources before applying.

Radius of the hoop, r = 2 m, mass of the hoop, m = 100 kg, velocity of the hoop, v = 20 cm /s = 0.2 m/s

Total energy of the hoop = Translational KE + Rotational KE = ${\theta }_1$ m $\alpha$ + $\alpha$

Moment of inertia about the centre, I = mr2

So the total energy = $\frac{1}{2}$ m $v^2$ + $\frac{1}{2}I{\omega }^2$

Since v = r $\frac{1}{2}$ we get

Total energy = $v^2$ m $\frac{1}{2}m{r}^2{\omega }^2$ + $\omega$ = $\frac{1}{2}$

Required work to be done = 100 x 0.2 x 0.2 J = 4 J

The selection criteria for course admission are based on a written test and a personal interview. Candidates looking for course admissions at Inspire Living Management Academy must meet the eligibility criteria set by the institute. The institute offers various courses, such as BBA, BHM, MHM, etc. Apart from the UG and PG courses, the institute also offers Diploma, Certificate, Short-Term, and Employability courses.

4. (i) {3,6,9,12}= {3 × 1, 3 × 2, 3 × 3, 3 × 4}

= {x : x = 3n, n is natural number and 1≤ n ≤ 4}

(ii) {2,4,8,16,32}= {2¹, 2², 2³, 2⁴, 2⁵}

= {x : x = 2ⁿ, n is natural number and 1 ≤ n ≤ 5}

(iii) {5,25,125,625}= {5¹, 5², 5³, 5⁴}

= {x : x = 5ⁿ, n is natural number and 1 ≤ n ≤ 4}

(iv) {2,4,6, }= {2 × 1, 2 × 2, 2 × 3, …}

= {x : x = 2n, n is a natural number}

(v) {1,4,9, …, 100}= {1², 2², 3², …, 10²}

= {x : x = n2, x is a natural number and 1 ≤ n ≤ 10}

To be eligible for the MBA at NIPS, candidates must have completed a bachelor's degree from a recognised institution. They must also qualify in a national or state-level entrance exam or appear for the entrance test conducted by NIPS. Fulfilling these criteria is mandatory for admission into the programme.

Mass of the meter  stick = W

Mass of each coin = 5 g

When the coins are placed 12 cm away from the end P, the centre of mass gets shifted by 5 cm from point R towards the end P. The centre of mass is located at a distance of 45 cm from point P.

The net torque will be conserved for rotational equilibrium about point R,

10 x (45-12) – W' (50-45) = 0

W' = (10 x 33)/5 = 66 g

NIPS Hotel Management Bhubaneswar offers a single, focused specialisation in MBA in Hotel Management. This programme is ideal for students who are specifically interested in building a career in the hospitality industry and want to gain in-depth knowledge in hotel operations, hospitality leadership, and service management.

MBA at NIPS Hotel Management Bhubaneswar is a two-year postgraduate course divided into four semesters. The programme is designed to provide students with theoretical knowledge and practical skills in hospitality management, preparing them for various leadership roles within the hotel and tourism industry.

Angular speed of the rotor,  $\mathrm{\alpha }$ = 200 rad/s

Torque,  $\alpha =\tau$ = 180 Nm

Power required, P = $\alpha$ x $\omega$ = 180 x 200 = 36 x10³ W = 36 kW

Karnavati University grants admission to its BA (Hons) courses based on the applicants' performance in CUET UG, followed by a Personal Interview (PI) conducted by the university. However, candidates who do not have a valid CUET UG score can also apply for BA admission at the university. Such candidates must appear for the Karnavati University Admission Test (KUAT) conducted by the university. Based on their KUAT scores, candidates are shortlisted for the subsequent interview round. 

Mass of the hollow cylinder, m = 3 kg

Radius of the hollow cylinder, r = 40 cm = 0.4 m

Applied force, F = 30 N

The MI of the hollow cylinder about its axis,

I = ${\omega }^2$ = 3 x 0.4 x 0.4 = 0.48 kgm²

Torque,  ${\omega }_2^2$ = 30 x 0.4 = 12 Nm

For angular acceleration ${\omega }_1^2$ , torque is given by

$m{r}^2$ = I x $\tau =Fxr$ or

$\alpha$ / I = 12 / 0.48 = 25 rad/s

Linear acceleration = r x $\tau$ = 0.4 x 25 = 10 m/s²