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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 12251. | define angular velocity. angular acceleration. angular momentum | 
| Answer» physics, the angular velocity of a particle is the rate at which it rotates around a chosen center point: that is, the time rate of change of its angular displacement relative to the origin. It is measured in angle per unit time, radians per second in SI units, and is usually represented by the symbol omega Angular momentum -the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity Angular acceleration is the rate of change of angular velocity. In three dimensions, it is a pseudovector. In SI units, it is measured in radians per second squared, and is usually denoted by the Greek letter alpha | |
| 12252. | Show that the motion of the pendulum is SHM for small angular displacement | 
| Answer» Begin witha diagram of the system, anddefinition of directions. Vertically upand clockwise rotations arepositive. It must be recalled that in SHM force is proportional to displacement from equqilibrium.The key assumptions to make are: the string is taught throughout the motion of the pendulum, the string doesn't break thtroughout the motion of the pendulum, the initial angle of displacement from vertical is small, there is no drag. Take theangular displacement from veritcal to bex, and look at the forces on the particle. Assumptions 1) and 2)implythat there is no motion parrallel to the string, and hence the tension in the string must be equal magnitude to the weight of the mass parallel to the string. Hence the resultant force must act perpendicular to the direction of the string. Using trigonometry, this force (F)is: -mgsin(x). where g is the acceleration due to gravity. Now, in the small angle limit sin(x) ~ xso F=-mgsin(x) becomes F~-mgx. Since x is displacement from equilibrium, the system undergoesSHM. 
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| 12253. | 2. A body constrained to move along the z-axis of a coordinate system is subject to a constant force F(NCERT)given by | 
| Answer» Consider the Work done by this force in moving the body a distance 4m along the z axis, since the question provided doesn't provide sufficient details. | |
| 12254. | ody kept on a smooth inclined plane ofinclination 1 in x will remain stationary relative to 76the inclined plane if the plane is given a horizgntalacceleration equal to :-x2 -1gx(4)一2-1(3) x-1 | 
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| 12255. | 8. A stone with weight w is thrown vertically upwardinto the air from ground level with initial speed v, Ifaconstant force f due to air drag acts on the stonethroughout its flight. The maximum height attainedby the stone is(1) h=-vg2g 1-V6Vo291-2g1+ f) | 
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| 12256. | () Define angular displacement, angularvelocity and angular acceleration. | 
| Answer» Angular displacement of a body is the angle in radians through which a point revolves around a centre or line has been rotated in a specified sense about a specified axis. The rate of change of angular displacement of a rotating body. Angular acceleration is the rate of change of angular velocity. In three dimensions, it is a pseudovector. In SI units, it is measured in radians per second squared, and is usually denoted by the Greek letter alpha. | |
| 12257. | Define angular displacement, angular velocityand angular acceleration.. | 
| Answer» Angular displacement of a body is the angle in radians through which a point revolves around a centre or line has been rotated in a specified sense about a specified axis. Vector angular velocity. For an object rotating about an axis, every point on the object has the same angular velocity. The tangential velocity of any point is proportional to its distance from the axis of rotation. Angular velocity has the units rad/s. Angular acceleration is the rate of change of angular velocity. In three dimensions, it is a pseudovector. In SI units, it is measured in radians per second squared, and is usually denoted by the Greek letter alpha. | |
| 12258. | what is the angular displacement ofhour hand in 10 minute ? | 
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| 12259. | The angular displacement of a particle is givenby θ = t3 + t2 + t + 1 then, its angular velocityat t 2 sec is rads- | 
| Answer» angular velocity is d∅/dt = 3t²+2t+1 at t = 2sec , d∅/dt = 3*(2)²+2*(2)+1 = 12+4+1 = 17 rad-¹ | |
| 12260. | U. DULU UTIMULUUL MULTUM! Vlly UULVVIV KUNAVA4. What is the angular displacement of the minute hand in 20 minutes? | 
| Answer» The hour hand would move 1/12 of 360 degrees or 30 degrees in 1 hour, and would move 20/60 or 1/3 in 20 minutes. Therefore, in 20 minutes angular displacement of minute hand = 1/3 * 30= 10 degrees | |
| 12261. | Both (2) and (3)Two blocks A and B of same mass are releasedfrom top of two different smooth inclined planesas shown in figure. If the heights of both theinclined planes is same, then the work done bygravity, by the time both blocks reach the bottomof respective inclines, is3753TTTTT77777777(1) Same for both blocks(2) Greater for block A(2 Greater for block B(4) Negative for both blocks | 
| Answer» 3 answer has greater for block B The correct answer is option (3) Greater for block B. 3 answer has greater for block B option s is the correct answer option 3, is the right answer option 3 is correct answer option 3. is the correct answer answer is greater of block b greater for block A is the correct answer | |
| 12262. | Figure shows two blocks, each of mass m. Thesystem is released from rest. If accelerations ofblocks A and B at any instant (not initially) are aand a2, respectively, then niuฝ่าmntm(b) a)a, cos θ(c) a a2 of these | 
| Answer» From the string constant acceleration of string should be a1 so acceleration of block b along the string is a2cos∅ , that should be equal to a1 => a1 = a2cos∅. | |
| 12263. | 89.The difference between angular speed of minute hand andsecond hand of a clock is[MH CET 2015]59 -rad/ s1800ds59 rad / s360059π900 rad/s59a-rad i s(a)(b)rad/s2400 | 
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| 12264. | masses 10 kg and 30 kg are placed along a vertical linc. The firsı block is raisdof 7 cm. By what distance should the second mass be moved to raise the centre of10Two blocks ofthrough a heightmass by 1 cm?24. | 
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| 12265. | A truck shown in the figure is driven with an accelerationa = 3m/s". Find the acceleration of the bodies A and B ofmasses 10 kg and 5 kg respectively, assuming pulleys aremassless and friction is absent everywhere. | 
| Answer» Please post the figure | |
| 12266. | (7) Two spheres of uniform density havemasses 10 kg and 40 kg. The distance betweenthe centres of the spheres is 200 m. Find thegravitational force between them.Solution : Data: m = 10 kg, m = 40 kg. | 
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| 12267. | Two blocks of masses 10 kg and 30 kg are placed along a vertical line. The first block is raised througha height of 7 cm. By what distance should the second mass be moved to raise the centre of mass1 cm? | 
| Answer» let initially the COM is at x= 0 so, when COM is at x = 1cm and 10kg is at 7cm the the expression becomes Xcm = (m1x1 +m2x2)/(m1+m2) => 1= 10*7+30*(x2)/(10+30)=> 40 = 70 +30(x2)=> x2 = (40-70)/30 = -1cm... 30 kg mass should be moved 1cm away. | |
| 12268. | 9. Two blocks of masses 10 kg and 30 kg are placed alonga vertical line. The first block is raised through a heightof 7 cm. By what distance should the second mass bemoved to raise the centre of mass by 1 cm? | 
| Answer» sahi hai | |
| 12269. | enterof Mass. Two blocks of masses 10 kg and 30 kg are placed along a vertical line. The first block is raised througha height of 7 cm. By what distance should the second mass be moved to raise the centre of mass by1 cm? | 
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| 12270. | 3.Three resistance of 2Ω , 3Ω and 5Ω are connected in the electric circuit.Calculate the(1) Maximum effective resistance(2) Minimum effective resistance | 
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| 12271. | the8. Two blocks of masses 10 kg and 20 kg are placed on theX-axis. The first mass is moved on the axis by a distanceof 2 cm. By what distance should the second mass bemoved to keep the position of the centre of massunchanged?mc | 
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| 12272. | 43. A person is standing on a truck moving with a constantvelocity of 14.7 m/s on a horizontal road. The man throwsa ball in such a way that it returns to the truck afterthe truck has moved 58.8 m. Find the speed and theangle of projection (a) as seen from the truck, (b) as seenfrom the road. | 
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| 12273. | 4. A truck starting from rest moves down a hill witha constant acceleration. If it covers a distance of300 m in 10 s, find its acceleration. Also find theforce acting on it if its mass is 8000 kg. | 
| Answer» Acceleration = change in velocity / change in time= (v - vo) / (t - to) Average Velocity= Change in displacement/ Total time= 300/10 = 30 m/s Acceleration = (30 - 0)/(10 - 0) = 3 m/s^2 Force acting on truck= mass*acceleration = 8000*3 = 24000 N | |
| 12274. | Draw the velocity time graph in case of constant acceleration and hence derive theequation for displacement. | 
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| 12275. | accelerationaofaparticlemovinginastrijghtlinevariswithdisphacementsaccordingtorelationa-2s,thenrelation a - 2s, thenvelocity of the particle vary with displacement as (given that velocity is zero at zero displacement)A) sB) V2sC) s2D) of these | 
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| 12276. | The two ends of a train moving with constantacceleration pass a certain point with velocities uand 3u. The velocity with which the middle point ofthe train passes the same point is(1) 2u(2) u2(3) y5 u(4) 10 u | 
| Answer» S = (v^2 - u^2) / (2a) If Length of train is L thenL = ((3u)^2 - u^2) / (2a)L = 4u^2 / a —-(1) Midpoint is at Distance L/2S = (v^2 - u^2) / (2a)L/2 = (v^2 - u^2) / (2a)From equation (1)2u^2 / a = (v^2 - u^2) / (2a)4u^2 = v^2 - u^2v^2 = 5u^2v = u√5 option(c) ty | |
| 12277. | કપાયેલ એતર શી વી.The initial velocity of the particle is 10 m/sec and itsretardation is 2m/sec?. The distance moved by theparticle in 5th second of its motion ishat im(b) 19 m[CPMT 1976)(c) 50 m(d) 75 m | 
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| 12278. | Two stones, having masses in the ratio of 3 2, aredropped from the heights in the ratio of 4 9, Theratio of magnitudes of their linear momenta justbefore reaching the ground is (neglect air resistance)(1) 4 91.(2) 2:3(3) 3: 2 | 
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| 12279. | nes!20) Are largee breakes of a bicycle wheel more effectiveof34)than a small one? Explain. | 
| Answer» Thelarge brakeon abicycle wheelismore effectivethan a small one. It is because thelargerone covers lots of surface area of awheelwhen compared with the smallerbrakes. It is the main reason why thelarge brakeis highlyeffectivethan the smaller ones. | |
| 12280. | Two stones, having masses in the ratio of 3 :2, aredropped from the heights in the ratio of 4 : 9. Theratio of magnitudes of their linear momenta justbefore reaching the ground is (neglect air resistance)(1) 4 9(3) 3 2(2) 2:3 | 
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| 12281. | (D) an ellipse(C) a circleSINGLE ANDin of mass M-Ďkg is moving on a cih of the train is half of the ofDOUBLEVALUE INTEGER TYPEA train oflength of the train iA man of mass 60 ka sten a circular track of radius R' with constant speed V 2m/s. Theperimeter of the track. The linear momentum of the trian will be | 
| Answer» wrong | |
| 12282. | A 60 kg man skating with a speed of 10 m/s collides with a 40 kg skater at rest and they cling to eachother. Find the loss of kinetic energy during the collision..32 | 
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| 12283. | Two stones, having masses in the ratio of 3 :2, aredropped from the heights in the ratio of 4 :9. Theratio of magnitudes of their linear momenta justbefore reaching the ground is (neglect air resistance)(1) 4 9(3) 3: 2(2) 2 3(4) 1 1 | 
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| 12284. | Ball 1 collides head on with an another identical ball 2 at rest. Velocity of ball 2 after collision becomestwo times to that of ball 1 after collision. The coefficient of restitution between the two balls is:.10. | 
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| 12285. | A boy throws a ball in a train moving at a speed of 18 kmph, with a velocity of 15v2 m/s at anangle of 45° to the horizontal in the direction of motion of train. The angle with which it strikes theplane of projection w.r.t. an observer watching from the road near by to the train is | 
| Answer» 18 kmph=5 m/s -v(x)=15+5=20{velocity along x before collision} -v(y)=-15{velocity along y before collision is same as u(y) with opposite sign} -now tan(Q)=v(y)/v(x)=15/20=3/4 so answer is 37° | |
| 12286. | 25. Two identical pith balls, each carrying a charge q, aresuspended from a common point by two strings of equalength 1. Find the mass of each ball if the angle betweenthe strings is 20 in equilibrium. | 
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| 12287. | ing on a stationary lift (open from above) throws a ball upwards with the maximum initial speedto 49 m/s. How much time does the ball take to return to his hands? lf the lift starts mosindga uniform speed of 5 m/s and the boy again throws the ball up with the maximum speed he can,he can, equalhow long does the ball take to return to his hands? | 
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| 12288. | Q3. A stcel wire isincreased to four times, find the stretch caused in wire. Istretchedbyacertainamountunderaload.Iftheloadandradiusbothare | 
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| 12289. | Two balls having masses m and 2m are fastened to twolight strings of same length l (figure 9-E18). The otherends of the strings are fixed at O. The strings are keptin the same horizontal line and the system is releasedfrom rest. The collision between the balls is elastic. (a)Find the velocities of the balls just after their collision(b) How high will the balls rise after the collision?2m | 
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| 12290. | Example 2.1 Calculate the angle of(a) 1° (degree) (b) 1' (minute of arc or arcmin)and (c) 1"(second of arc or arc second) inradians. Use 360°-2π rad, 10-60, and1' 60 | 
| Answer» We know 360°= 2π rad =>1°= (π/180) rad = 0.01745 rad 1`= (1/60)0= π/(60 × 180) = 0.00029 rad 1``= (1/3600)0= π/(3600 × 180) = 0.0000048 rad not understood | |
| 12291. | 37. A boy throws balls into air at regular interval of2 second. The next ball is thrown when the velocityof first ball is zero. How high do the ball rise abovehis hand? [Take g 9.8 m/s2](1) 4.9 m(2) 9.8 m(4) 29.4 m19.6 m | 
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| 12292. | ALL7. A pump is used to deliver water at a certain rate 7from a given pipe. To obtain n times water fromthe same pipe in the same time, by what factor,the force of the motor should be increased?(1) n times(2) n2 times(3) n3 times(4)times | 
| Answer» n3 is the answer????? how u calculated can u plz tell | |
| 12293. | A boy revolves two balls each of mass 100 gm andtied with strings of 1 metre length each in horizontalcircle as shown in figure. If the speed of outermost ballis 6 m/s, then tension in string-1 is21(A) 2.4 N(C) 2 N(B) 2.7 N(D) 1.2 N | 
| Answer» option B | |
| 12294. | A weightless thread can bear tension upto 3.7 kgwt. A stone of mass 500 gm is tied to it and re-volved in a circular path of radius 4 m in a verticalplane. If g 10 ms2, then the maximum angularvelocity of the stone will be16 radiansecond2 radianssecondum4 radiarnsecond/21 radians$3)second | 
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| 12295. | A iron casting containing a number of cavities 6000 N in air and 4000 N in water. The volume ofcavities in the casting is x ty of water is I g/cm3,ng 1sx102 m3. (density of iron is 7.87g/cm, densi | 
| Answer» Loss in weight when iron casting weighed in water=6000-4000 =2000 N According to Archimedes principle, Loss in wt in water = wt of equal volume of water volume of displaced water= V =weight/ (density*g) volume of displaced water= V =2000/1000*g volume of displaced water= V = 2 /g m^3 Actual volume of iron in casting = Vi = weight / (density of iron*g) Vi=6000/7870*g=0.7624 /g volume of cavity = vol. of displaced water - vol. of iron volume of cavity=2/g -0.7624/g=1.2376 /g volume of cavity =0.012628 m^3 =12628 cc the total volume of all the cavities in the casting is 0.012628 m^3 or 12628 cc | |
| 12296. | A water pump is used to deliver the water at constant rate. How should the power of pump be increased so that the rate at which water is delivered is increased n times | 
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| 12297. | 510 HzHow far will the sound waves reach when stringcompletes 250 vibrations? The velocity of sound is(Ans : 166.7 m)l) A violin string emits sound of frequency340 m/s | 
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| 12298. | A violin string emits sound of frequency 510 Hz.How far will the sound waves reach when stringcompletes 250 vibrations? The velocity of sound is340 m/s.(Ans : 166.7 m)O. | 
| Answer» f=510Hztime required for 250 vibrations=250/510velocity of sound is 340m/sdistance travelled=340×250/510=166.7m | |
| 12299. | Q14, Give two differences between g and G. | 
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| 12300. | 6. Match the following:Human larynxLoudspeakerJal-tarangTuning forkVibrations of metalarmsVibrations inaircolumnVibrations in vocalcordsVibrations in stringsSitarVibrations of screen | 
| Answer» 1.Human larynx-vibration in vocal cords2.Loudspeakers- vibration of screen3.Jal-tarang-vibration in metal arms4.Tuning fork-vibration in air column5.Sitar-vibration in strings | |