Rotational Motion Quiz-18

Dear Readers,

As per analysis for previous years, it has been observed that students preparing for NEET find Physics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Biology due to their medical background. Furthermore, sections such as Physics are dominantly based on theories, laws, numerical in comparison to a section of Biology which is more of fact-based, life sciences, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced. .

Q1. A circular disc is to be made by using iron and aluminium, so that it acquires maximum moment of inertia about its geometrical axis. It is possible with?
  •  Iron and aluminium layers in alternate order
  •  Aluminium at interior and iron surrounding it
  •  Iron at interior and aluminium surrounding it
  •  Either (a) or (c)
By doing so the distribution of mass can be made away from the axis of rotation

Q2. The moment of inertia of semicircular ring about an axis which is perpendicular to the plane of the ring and passes through the centre?
  •  MR2
  •  (MR2)/2
  •  (MR2)/4
  •  None of these

Q3. If a ball is dropped from rest, its bounces from the floor. The coefficient of restitution is 0.5 and the speed just before the first bounce is 5ms-1. The total time taken by the ball to come to rest is?
  •  2 s
  •  1 s
  •  0.5 s
  •  0.25 s
Acceleration a=(v-u)/t Or a=(v-v0)/t Or g=(v-v0)/t ∴ v=0 Speed before first bounce v0=-5ms-1 ∴ t=(vB-vA)/g=(0(-5))/10=5/10=0.5 s

Q4. Two negatively charges particles having charges e1 and e2 and masses m1 and m2 respectively are projected one after another into a region with equal initial velocity. The electric field E is along the y-axis, while the direction of projection makes an angle a with the y-axis. If the ranges of the two particles along the x-axis are equal then one can conclude that?

  •  e1=e2 and ml=l
  •  e1=e2 only
  •  m1=m2 only
  •  e1 m1=e2 m2
Here, effected gravitational acceleration is g'=(mg-qE)/m ∴ R=(v02 sin⁡2α)/g' It means, g’ for both particles are same This is possible when m1=m2 and e1=e2

Q5. The acceleration of the centre of mass of a uniform solid disc rolling down an inclined plane of angle α is?
  •  g sin α
  •  2/3 g sin α
  •  1/2 g sin α
  •  1/3 g sin α
 The acceleration of the body which is rolling down an inclined plane of angle α is 

a= (g sin α)/(1+K2/R2 ) where K=radius of gyration, R=radius of body. Now, here the body is a uniform solid disc. So, K2/R2 =1/2 ∴a=(g sin α)/(1+1/2) or a=(g sinα)/(3⁄2) or a=(2g sin⁡α)/3

Q6. A thin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed ω, as shown in the figure. At time, t=0, a small insect starts from O and moves with constant speed v with respect to the rod towards the other end. It reaches the end of the rod at t=T and stops. The angular speed of the system remains ω throughout. The magnitude of the torque (|τ | on the system about O, as a function of time is best represented by which plot?





Angular momentum about rotational axis Lt=[I+m(vt)2]ω (dLt)/dt=2mv2 tω; Torque τ=(2mv2 ω)t

Q7. A small object of uniform density roll up a curved surface with an initial velocity v. If reaches up to a maximum height of 3v2/4g with respect to the initial position. The object is ?

  •  Ring
  •  Solid sphere
  •  Hollow sphere
  •  Disc
1/2 mv2=1/2 I(v/R)2=mg((3v2)/4g) ∴I=1/2 mR2 ∴ Body is disc.

Q8. Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side l cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm2 units will be?

  •  3/4 ml2
  •  2ml2
  •  5/4 ml2
  •  3/2 ml2
Moment of inertia of the system about axis AX, =IA+IB+IC =mA (rA )2+mg(rB )2+mc(rC )2 =m(0)2+m(l)2+m(l cos⁡60 )2 =ml2+(ml2)/4=(5ml2)/4 

Q9. Two spheres of equal masses, one of which is a thin spherical shell and the other a solid, have the same moment of inertia about their respective diameters. The ratio of their radii will be?
  •  5:7
  •  3:5
  •  √3: √5
  •  √3: √7
Let the radii of the thin spherical and the solid sphere are R1 and R2 respectively. Then the moment of inertia of the spherical shell about their diameter I=2/3 MR12 …(i) and the moment of inertia of the solid sphere is given by I=2/5 MR22 …(ii) Given that the masses and moment of inertia for both the bodies are equal, then from Eqs. (i) and (ii) 2/3 MR12=2/5 MR22⇒(R12)/(R22 )=3/5 ⇒R1/R2 =√(3/5)⇒R1:R2=√3:√5

Q10. A reel of thread unrolls itself falling down under gravity. Neglecting mass of the thread, the acceleration of the reel is?
  •  g
  •  g/2
  •  2g/3
  •  4g/3

a= g/(1+K2/R2 ) [For solid cylinder K2/R2 =1/2] ∴a=g/(1+1/2)=2/3 g

Want to know more

Please fill in the details below:


Latest IITJEE Articles$type=three$c=3$author=hide$comment=hide$rm=hide$date=hide$snippet=hide

Latest NEET Articles$type=three$c=3$author=hide$comment=hide$rm=hide$date=hide$snippet=hide


Admissions,1,Alternating Current,60,AP EAMCET 2020,1,Basic Maths,2,BCECE 2020,1,best books for iit jee,2,best coaching institute for iit,1,best coaching institute for iit jee preparation,1,best iit jee coaching delhi,1,best iit jee coaching in delhi,2,best study material for iit jee,4,BITSAT Registration 2020,1,Blog,62,books for jee preparation,1,books recommended by iit toppers,3,Capacitance,3,CBSE,1,CBSE accounts exam,1,CBSE boards,1,CBSE NEET,9,cbse neet 2019,3,CBSE NEET 2020,1,cbse neet nic,1,Centre of Mass,2,Chemistry,58,Class 12 Physics,15,coaching for jee advanced,1,coaching institute for iit jee,2,Collision,2,COMEDK UGET 2020 Application Form,1,COMEDK UGET 2020 Exam Form,1,COMEDK UGET news,1,CUCET 2020,2,Current Electricity,4,CVR college,1,Digestion and Absorption Notes PDF,1,Electromagnetic Induction,3,Electronics,1,Electrostatics,3,Energy,1,Engineering & Medical,1,Fluid Mechanics,4,Gravitation,2,GUJCET 2020 Application Form,1,Heat,4,iit admission,1,iit advanced,1,iit coaching centre,3,iit coaching centre in delhi,2,iit coaching classes,2,iit coaching in delhi,1,iit coaching institute in delhi,1,iit entrance exam,1,iit entrance exam syllabus,2,iit exam pattern,2,iit jee,5,iit jee 2019,3,iit jee advanced,2,iit jee books,3,iit jee coaching,2,iit jee exam,3,iit jee exam 2019,1,iit jee exam pattern,3,iit jee institute,1,iit jee main 2019,2,iit jee mains,3,iit jee mains syllabus,2,iit jee material,1,iit jee online test,3,iit jee practice test,3,iit jee preparation,6,iit jee preparation in delhi,2,iit jee preparation time,1,iit jee preparation tips by toppers,2,iit jee question paper,1,iit jee study material,3,iit jee study materials,2,iit jee syllabus,2,iit jee syllabus 2019,2,iit jee test,3,iit preparation,2,iit preparation books,5,iit preparation time table,2,iit preparation tips,2,iit syllabus,2,iit test series,3,IITJEE,100,Important Biology Notes for NEET Preparation,1,IPU CET,1,JEE Advanced,83,jee advanced exam,2,jee advanced exam pattern,1,jee advanced paper,1,JEE Books,1,JEE Coaching Delhi,3,jee exam,3,jee exam 2019,6,JEE Exam Pattern,2,jee exam pattern 2019,1,jee exam preparation,1,JEE Main,85,jee main 2019,4,JEE Main 2020,1,JEE Main 2020 Application Form,2,JEE Main 2020 news,2,JEE Main 2020 Official Answer Key,1,JEE Main 2020 Registration,1,JEE Main 2020 Score,1,JEE Main application form,1,jee main coaching,1,JEE Main eligibility criteria,3,jee main exam,1,jee main exam 2019,3,jee main online question paper,1,jee main online test,3,JEE Main Paper-2 Result,1,jee main registration,2,jee main syllabus,2,JEE mains 2020,1,jee mains question bank,1,jee mains test papers,3,JEE Mock Test,2,jee notes,1,jee past papers,1,JEE Preparation,2,jee preparation in delhi,1,jee preparation material,4,JEE Study Material,1,jee syllabus,6,JEE Syllabus Chemistry,1,JEE Syllabus Maths,1,JEE Syllabus Physics,1,jee test series,3,KCET - 2020,1,Kinematics,1,Latest article,5,Latest Articles,61,Latest News,34,latest news about neet exam,1,Laws of Motion,2,Magnetic Effect of Current,3,Magnetism,3,MHT CET 2020,2,MHT CET 2020 exam schedule,1,Modern Physics,1,NCERT Solutions,15,neet,3,neet 2019,1,neet 2019 eligibility criteria,1,neet 2019 exam date,2,neet 2019 test series,2,NEET 2020,2,NEET 2020 Application Form,1,NEET 2020 Eligibility Criteria,1,NEET 2020 Registration,1,neet application form,1,neet application form 2019 last date,1,Neet Biology Syllabus,1,Neet Books,3,neet eligibility criteria,3,neet exam 2019,7,neet exam application,1,neet exam date,1,neet exam details,1,neet exam pattern,6,neet exam pattern 2019,2,neet examination,1,neet mock test 2019,1,Neet Notes,3,Neet Online Application Form,3,neet online test,2,neet past papers,1,neet physics syllabus,1,neet practice test,2,NEET preparation books,1,neet qualification marks,1,NEET question paper 2019,1,neet question papers,1,neet registration,1,Neet Study Material,3,neet syllabus,6,neet syllabus 2019,5,NEET Syllabus 2020,1,neet syllabus chemistry,1,neet syllabus for biology,1,neet syllabus for physics,1,neet test series,1,neet ug 2019,2,news,5,online study material for iit jee,1,Optical Instruments,1,Physics,110,physics books for iit jee,1,Power,1,Practical Physics,1,Quiz,5,Ray Optics,1,Rotational Motion,3,SHM,3,Simple Harmonic Motion,3,study materials for iit jee,1,Study Notes,110,study notes for iit jee,1,Thermodynamics,4,TS EAMCET Notification,2,Units and Dimensions,1,UPSEE 2020,1,UPSEE 2020 Application Form,2,UPSEE EXAM,1,Vectors,2,VITEE Application form,1,Wave Motion,3,Wave Optics,1,WBJEE 2020 Admit Card,1,WBJEE 2020 Answer Key,1,Work,1,
Rotational Motion Quiz 18
Loaded All Posts Not found any posts VIEW ALL Readmore Reply Cancel reply Delete By Home PAGES POSTS View All RECOMMENDED FOR YOU LABEL ARCHIVE SEARCH ALL POSTS Not found any post match with your request Back Home Sunday Monday Tuesday Wednesday Thursday Friday Saturday Sun Mon Tue Wed Thu Fri Sat January February March April May June July August September October November December Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec just now 1 minute ago $$1$$ minutes ago 1 hour ago $$1$$ hours ago Yesterday $$1$$ days ago $$1$$ weeks ago more than 5 weeks ago Followers Follow THIS CONTENT IS PREMIUM Please share to unlock Copy All Code Select All Code All codes were copied to your clipboard Can not copy the codes / texts, please press [CTRL]+[C] (or CMD+C with Mac) to copy