Ask & Answer: India's Largest Education Community

4.14

The velocity of the boat $V_b$ = 51 km/h, the velocity of the wind $V_w$ = 72 km/h

Flag is fluttering in N-E direction, so the $V_w$ direction is N-E.

When the ship begins to sail towards North, the flag will flutter along the direction of relative velocity of the wind w.r.t. the boat.

The angle between $V_w$ & - $V_b$ = 90 $°+45°$

tan $\beta$ = $\frac{V_{b}sin(90+45)}{V_w+V_{b}cos(90+45)}$ = $\frac{51\mathrm{s}\mathrm{i}\mathrm{n}?(90+45)}{72+51\mathrm{c}\mathrm{o}\mathrm{s}?(90+45)}$ = $\frac{36.062}{35.937}$

$\beta =$ tan-1( $\frac{36.062}{35.937}$ ) = 45.099 $°$

Angle with respect to East direction = 45.099 $°$ - 45 $°$ = 0.099 $°$

Hence the flag will flutter almost due East.

4.13 Swimming speed = 4 km/h, Width of the river = 1.0 km

Time required to cross the river = $\frac{Widthoftheriver}{Swimmingspeed}$ = $\frac{1}{4}$ h= 15 min

Speed of the river = 3 km/h

Distance covered by the river in 15 min = 3 $*\left(\frac{15}{60}\right)$ $*1000$ = 750 m

4.12 Let Vc = Velocity of the cyclist

Vr = Velocity of the rain

If V is the relative velocity, the woman must hold her umbrella in the direction of V.

V = Vr + (-Vc) = 30 + (-10) = 20 m/s

Tan $\theta$ = $\frac{Vc}{Vr}$ = $\frac{10}{30}$ , $\theta$ = 18 $°$

It seems Atharva Institute of Management Studies (AIMS Mumbai) does not provide the B.Sc. in Computer Science — only management-type programs like MMS, PGDM, etc. 

If you are specifically looking for B.Sc. in Computer Science then I would suggest looking at other colleges affiliated with Mumbai University or standalone Science institutes with B.Sc. CS programs.

13.2 The ideal gas equation relating to pressure (P), volume (V) and absolute temperature (T) is given by the relation

PV = nRT, where

R is the universal gas constant = 8.314 J /mol/K

N = number of moles = 1 (given)       

T = standard temperature = 273 K

P = standard pressure = 1 atm = 1.013 $*{10}^5$ N/ $m^2$

Therefore V = $\frac{nRT}{P}$ = $\frac{1*8.314*273}{1.013\mathrm{}*{10}^5}$ = 0.02240 $m^3$ = 22.4 litres

Hence the molar volume of a gas at STP is 22.4 litres.

4.11

(a) Total distance travelled = 23 km, Total time taken = 28 min

Average speed = $\frac{Totaldistancetravelled}{Totaltimetaken}$ = $\frac{23}{28}$ km/min = 49.29 km/h

(b) Average velocity = $\frac{Totaldisplacement}{totaltimetaken}$ = $\frac{10}{28}$ km/min = 21.43 km/h

Candidates can download their IBPS RRB admit cards online only. Candidates can download their admit cards by logging with the required credentials. 

The University of Amsterdam, Wageningen University & Research, University of Groningen, Leiden University, etc. are some of the top Universities to Study in the Netherlands without IELTS.

To crack Phonics University placement interview students can follow the steps given below:

·       Review your resume

·       Practice common interview questions

·       Showcase your strengths

·       Be confident and articulate

Check out the table below for the top recruiters at Symbiosis School of Banking and Finance, Pune internships in 2025.

Yes, you can get a Netherlands student visa without IELTS. You just need to submit the documents from the university you have been admitted, certifying that you are eligible for a study visa without IELTS.

4.9

(a) Since the cyclist came back to his starting point O, so the displacement is Zero

(b) Average velocity = $\frac{netdisplacement}{timetaken}=\frac{0}{timetaken}$ = 0

(c) Average speed = $\frac{distancetravelled}{timetaken}$

Distance travelled = OP + PQ + QO

= 1 + (1/4) $*2*\left(\frac{22}{7}\right)*1+1=$ 3.57 km

Average speed = 3.57 / 10 km/min = 21.43 km/h

The highest placement package for 2024 at Phonics University, Roorkee, reached INR 26 LPA, although the company that made this offer is currently unknown. In comparison, the top package for 2023 was INR 18 LPA, which was awarded by Zscaler.

Apart from the Netherlands, many European countries like Germany, Holland, and Norway allow international students to apply to their universities without giving IELTS. Students can check their eligibility and apply for admission to study abroad.

The Ramrao Adik Institute of Technology offers an array of specialisations under its M.Tech programme. The following is a list of all the courses offered by the institute for students to choose from:

• MTech in Computer Science and Engineering (Data Science)
• MTech in Computer Science and Engineering (Artificial Intelligence)
• MTech in Instrumentation Engineering
• MTech in Information Technology and Computer Engineering

MGKVP Varanasi offers a three-year BBA at the UG level. The programme is also offered at various MGKVP-affiliated institutes. The fee structure at these institutes vary from one another. MGKVP Varanasi BBA tuition fee across various affiliated institutes ranges between INR 1.2 Lacs and INR 2.4 lakh. As per the latest admission brochure, the BBA fee at the MGKVP is INR 22,000 per annum. The mentioned fee is sourced from the official website of the university/sanctioning body. It is still subject to change and hence, is indicative.

4.8 The radius of the ground = 200 m, the distance PQ = diameter of the ground = 400 m

The displacement all 3 girls = 400 m

This magnitude is equal to the path skated by girl B

Yes, if your course is to be taught in English, you must pass or have passed the following IELTS score: If you start your education immediately: IELTS 6.0. If you have a preparatory period of a maximum period of 12 months: IELTS 5.0. If you have a preparatory period of a maximum period of 6 months: IELTS 5.5.