InterviewSolution
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InterviewSolution
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.
| 1. |
A train starting from rest travels the first part of its journey with constant acceleration a, secondpart with constant velocity v nd third part with constant retardation a, being brought to rest.the average speed for the whole journey is7v8. The train travels with constant velocity for...of the total time -A. `3/4`B. `7/8`C. `5/6`D. `9/7` |
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Answer» Correct Answer - A |
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| 2. |
If retardation produced by air resistances to projectile is one-tenth of acceleration due to gravity, the time to reach maximum height approximately-A. increase by 9%B. decrease by 9%C. increase by 11%D. decrease by 11% |
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Answer» Correct Answer - B |
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| 3. |
A uniform thin rod of mass m and length L is standing vertically along the y-axis on a smooth horizontal surface, with its lower end at the origin (0,0). A slight disturbane at t = 0 causes the lower end t slip on the smooth surface along the positive x-axis, and the rod starts falling. (i) What is the path followed by the centr of mass of the rod during its fall? (ii) Find the equaiton to the trajectory of a point on the rod shape of the path of this point?A. Straight lineB. parabolaC. EllipseD. Circle |
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Answer» Correct Answer - D |
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| 4. |
The force required to row a boat over the sea is proportional to the speed of the boat. It is found that it takes 24 h.p. to row a certain boat at a speed of 8km/hr, the horse power required when speed is doubled -A. 12h.pB. 6h.pC. 48h.pD. 96h.p. |
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Answer» Correct Answer - D |
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| 5. |
A heavy particle hanging from a fixed point by a light inextensible string of length l is projected horizontally with speed (gl) . Then the speed of the particle and the inclination of the string to the vertical at the instant of the motion when the tension in the string equal the weight of the particle-A. `sqrt((31)/g),cos^(-1)(3//2)`B. `sqrt((1g)/3),cos^(-1)(2//3)`C. `sqrt((3g)/3),cos^(-1)(2//3)`D. `sqrt((gl)/3),cos^(-1)(2//3)` |
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Answer» Correct Answer - B |
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| 6. |
A particle suspended from a fixed point, by a light inextensible thread of length L is projected horizontally from its lowest position with velocity 7gL . The thread will slack after swinging through an angle , such that equalA. `30^(@)`B. `135^(@)`C. `120^(@)`D. `150^(@)` |
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Answer» Correct Answer - C |
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| 7. |
A given object taken n time more time to slide down `45^(@)` rough inclined plane as it taken to slide down a perfectly smooth `45^(@)` incline The coefficient of kintic friction between the object and the incline is .A. `1-1/n^(2)`B. `1/(1-n^(2)`C. `sqrt(1-1/n^(2))`D. `sqrt(1/(1-n^(2)))` |
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Answer» Correct Answer - A |
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| 8. |
A block slides down an inclined surface of inclination `30^0` with the horizontal. Starting from rest it covers 8 m in the first two seconds. Find the coefficietn of kinetic friction between the two.A. 0.11B. 0.5C. 0.8D. 0.2 |
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Answer» Correct Answer - A |
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| 9. |
A spherical ball of mass 1/2 kg is held at the top of an inclined rough plane making angle 30º with the horizontal the coefficient of limiting friction is 0.5. If the ball just slides down the plane without rolling its acceleration down the plane is -A. `[(2-sqrt3)/4]`B. gC. `[(2sqrt(3-1))/4]g`D. `[(sqrt(3)-1)/2]g` |
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Answer» Correct Answer - A |
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| 10. |
Body A is placed on frictionless wedge making an angle with the horizon. The horizontal acceleration towards left to be imparted to the wedge for the body A to freely fall vertically, is-A. `g sin theta`B. `g cos theta`C. `g tan theta`D. `g cot theta` |
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Answer» Correct Answer - D |
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| 11. |
A partcle rests on the top of a hemisphere of radiu R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down it-A. `sqrt(gR)`B. `sqrt(2gR)`C. `sqrt(3gR)`D. `sqrt(5gR)` |
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Answer» Correct Answer - A |
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| 12. |
A horizontal uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one end by force F. What is the tension in the rope at a distance l from the end where the force is applied?A. `(Fx)/(L-x)`B. `FL/(L-x)`C. `FL//x`D. `F(L-x)//L` |
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Answer» Correct Answer - D |
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| 13. |
A box of mass `8 kg ` placed on a rough inclined plane of inclened `theta` its downward motion can be prevented by applying an upward pull `F` and it can be made to slide upward appliying a force `2F` .The coefficient of friction between the box and the inclined plane isA. `1/3tantheta`B. `3tantheta`C. `1/2 tan theta`D. `2 tan theta ` |
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Answer» Correct Answer - A |
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| 14. |
Statement I : On banked curved road, vertical component of normal reaction provides the necessary centripetal force. Statement II : Centripetal force is always required for turningA. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - D |
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| 15. |
A billiard ball moving at a speed of 6.6 ms–1 strikes an identical stationary ball a glancingblow. After the collision, one ball is found to be moving at a speed of 3.3, ms–1 in a direction making an angle of 60º with the original line of motion. The velocity of the other ball isA. `4.4 ms^(-1)`B. `6.6ms^(-1)`C. `3.3ms^(-1)`D. `5.7ms^(-1)` |
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Answer» Correct Answer - D |
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| 16. |
A billiard ball moving at a speed 2m/s strikes an identical ball initially at rest, at a glancing blow. After the collision one ball is found to be moving at a speed of 1m/s at `60^(@)` with the original line of motion. The velocity of the other ball shall be -A. `(3)^(1/2)m//s at 30^(@)` to the original direction.B. `1m//s at 60^(@)` to the original directionC. `(3)^(1//2)m//s at 60^(@)` to the original directionD. `1m//s at 30^(@)` to the original direction |
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Answer» Correct Answer - A |
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| 17. |
Assertion: In an elasticcollision of two billard balls, the total `KE` is conservation during the short times of collision of the balls`(i.e., when they are in constant). Reason: Energy spend against friction does not follow the law of conservation of energy.A. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - C |
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| 18. |
A bullet of mass m strikes a pendulum bob of mass M with velocity u. It passes through and emerges out with a velocity u/2 from bob. The length of the pendulum is l. What should be the minimum value of u if the pendulum bob will swing through a complete circle?A. `(2M)/mxxsqrt(5gl)`B. `M/(2m)sqrt(5gl)`C. `(2M)/mxx1/sqrt(5gl)`D. `M/(2m)xx1/sqrt(5gl)` |
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Answer» Correct Answer - A |
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| 19. |
In previous question maximum speed of the block placed horizontally is:A. `3.21m//s`B. `2.21m//s`C. `1.93m//s`D. `1.26m//s` |
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Answer» Correct Answer - D |
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| 20. |
Statement-I: Both stretched and compressed springs possess potential energy. Statement - II: Work done against restoring force is stored as potential energA. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - A |
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| 21. |
Statement I : Work done in moving a body over a smooth inclined plane does not depend upon slope of inclined plane, provided its height is same.Statement II : W = mgh = mglsinA. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - A |
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| 22. |
In the above question tension in rod at a distance 10 cm from end A is-A. 18NB. 20NC. 24ND. 36N |
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Answer» Correct Answer - C |
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| 23. |
Assertion : Work done by orforce of friction in moving a body through any round trip is zero. Reason : Because friction is a conservative force.A. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - D |
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| 24. |
In the figure, at the free end of the light string, a force F is spplied to keep the suspended mass of 18 kg at rest. Then the force exerted by the cirling on the system (assume that the string segments are vertical and the pulleys are light and smooth) is:(`g=10(m)/(s^2)`)A. 180NB. 90NC. 60ND. 30N |
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Answer» Correct Answer - B |
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| 25. |
In the given arrangement, n number of equal masses are connected by stings of negligible masses. The tension in the string connected to `n^(th)` mass is .A. `(mMg)/(nm+M)`B. `(mMg)/(nmM)`C. `mg`D. `mng` |
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Answer» Correct Answer - A |
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| 26. |
A light spring of spring constant k is kept compressed between two blocks of masses m and M on a smooth horizontal surface. When released, the blocks acquire velocities in opposite directions. The spring loses contact with the blocks when it acquires natural length. The spring was initially compressed through a distance d find the final speeds of the two blocks. A. `sqrt((KM)/(m+(M+m)))xx`B. `sqrt((KM)/(m+(m+M)))xx`C. `sqrt((KM)/(m+(M-m)))xx`D. `sqrt((KM)/(m+(M-m)))xx` |
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Answer» Correct Answer - A |
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| 27. |
Two blocks of masses M = 3 kg and m = 2 kg, are in contact on a horizontal table. A constant horizontal force F = 5 N is applied to block M as shown. There is a constant frictional force of 2 N between the table and the block m but no frictional force between the table and the first block M, then the acceleration of the two blocks is-A. `0.4ms^(-2)`B. `0.6ms^(-2)`C. `0.8 ms^(-2)`D. `1 ms^(-2)` |
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Answer» Correct Answer - B |
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| 28. |
The kinetic energy of a particle moving along a circle of radius R depends on the distance covered s as T = KS2 where K is a constant. Find the force acting on the particle as a function of S -A. `(2K)/5sqrt(1+(S/R)^(2))`B. `(2KS)sqrt(1+(R/S)^(2))`C. `(2KS)/5sqrt(1+(S/R)^(2))`D. `(2S)/Ksqrt(1+(R/S)^(2))` |
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Answer» Correct Answer - B |
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| 29. |
A body of mass 8 kg is hanging from another body of mass 12 kg. The combination is being pulled up by a string with an acceleration of 2.2 m/sec2. The tension T1 will be -A. 260NB. 240NC. 220ND. 200N |
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Answer» Correct Answer - B |
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| 30. |
A point moves along a circle with velocity v = at where a 0.5 m/sec2. Then the total acceleration of the point at the moment when it covered (1/10) th of the circle after beginning of motion -A. `0.5 m//sec^(2)`B. `0.6m//sec^(2)`C. `0.7m//sec^(2)`D. `0.8m//sec^(2)` |
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Answer» Correct Answer - D |
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| 31. |
In fig the blocks A,B,and C of mass m each have acceleration `a_(1),a_(2), and a_(3)`, repectively. `F_(1) and F_(2)` are external force of magnitude `2mg and mg`, respectively. Then A. `a_(1)=a_(2)=a_(3)`B. `a_(1)gta_(3)gta_(2)`C. `a_(1)=,a_(2) gt a_(3)`D. `a_(1) gt a_(2),a_(2)=a_(3)` |
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Answer» Correct Answer - B |
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| 32. |
A chain has five rings. The mass of each ring is 0.1 kg. This chain is pulled upwards by a froce F producing an acceleration of 2.50 m/sec2 in the chain. Then the force of action (reaction) on the joint of second and third ring from the top is -A. 0.25NB. 1.23NC. 3.69ND. 6.15N |
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Answer» Correct Answer - C |
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| 33. |
The vertical section of a road over a canal bridge in the direction of its length is in the form of circle of radius 8.9 metre. Then the greatest spped at which the car can cross this bridge wihout losing contact with the road at its hgihest point, the centre of gravity of the car being at a height h = 1.1 metre from the ground. Take g = 10 m/sec2-A. `5m//sec`B. `10m//sec`C. `15m//sec`D. `20m//sec` |
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Answer» Correct Answer - B |
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| 34. |
A particle moves along the positive branch of the curve y =2x2where x =2t2,where x and y are measured in metre and t in second. At t = 2 sec, the velocityof the particle is -A. `(2hati-4hatj)m//sec`B. `(2hati+4hatj)m//sec`C. `(2hati+2hatj)m//sec`D. `(4hati-2hatj)m//sec` |
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Answer» Correct Answer - B |
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| 35. |
A body moves with uniform velocity of u = 7 m/s from t = 0 to t = 1.5 sec. For t gt 1.5 s, it starts moving with an acceleration of 10 m/s2. The distance travelled between t = 0 to t = 3 sec will be -A. `47.75 m`B. `32.25 m`C. `16.75 m`D. `27.50 m` |
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Answer» Correct Answer - B |
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| 36. |
The force acting on a body moving along x -axis varies with the position of the particle as shown in the fig. The body is in stable equilibrium at. A. `x=x_(1)`B. `x=x_(2)`C. Both `X_(1)` and `x_(2)`D. Neither `x_(1)` nor `n_(2)` |
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Answer» Correct Answer - D |
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| 37. |
In the figure, block A is released from rest when the spring is its natural length for the block B of mass m to leave contact with the ground at some stage what should be the minimum mass of block A? .A. 2MB. MC. `M/2`D. a function of M and the force constant of the spring |
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Answer» Correct Answer - C |
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| 38. |
Assertion : The value of dynamic friction is less than the limiting friction. Reason : Once the motion has started, the inertia of rest has been overcome.A. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - A |
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| 39. |
Assertion : By pressing a block against a rough wall, one can balance it. Reason : Smooth walls can not hold the block by pressing the block against the wall, however high the force is exerted.A. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - B |
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| 40. |
Two particles are projected from the same point with the same speed at different angles `theta_1` & `theta_2` to the horizontal. They have the same range. Their times of flight are `t_1` & `t_2` respectilyA. `theta_(1)+theta_(2)=90^0`B. `t_(1)/t_(2)=tantheta_(1)`C. `t_(1)/t_(2)=tantheta_(2)`D. `t_(1)/(sintheta_(1))=t_(2)/(sintheta_(2))` |
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Answer» Correct Answer - C |
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| 41. |
A stone of 1 kg tied up with 10/3 m long string rotated in a vertical circle. If the ratio of maximum and minimum tension in string is 4 then speed of stone at highest point of circular path will be ( `g = 10 ms^2)`A. `20m//s`B. `10sqrt3m//s`C. `5sqrt2m//s`D. `10m//s` |
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Answer» Correct Answer - D |
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| 42. |
A rubber band of length l has a stone of mass m tied to its one end. It is whirled with speed v so that the stone describes a horizontal circular path. The tension T in the rubber band is -A. ZeroB. `mv^(2)//l`C. `gt (mv^(2))//l`D. `lt mv^(2)//l` |
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Answer» Correct Answer - D |
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| 43. |
A stone of mass m tied to the end of a string revolves in a vertical circle of radius R. The net forces at the lowest and highest points of the circle directed vertically downwards are: [Choose the correct alternative] Lowest point Highest point `T_(1)` and `V_(1)` denote the tension and speed at the lowest point `T_(2)` and `V_(2)` denote the corresponding values at the highest points.A. `mg-T_(1)mg+T_(2)`B. `mg+T_(1)mg-T_(2)`C. `mg+T_(1)-(mv_(1)^(2))//R mg-T+(mv_(1)^(2))//R`D. `mg-T_(1)-(mv_(1)^(2))//Rmg+t_(2)+(mv_(1)^(2))//R` |
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Answer» Correct Answer - A |
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| 44. |
A gramphone record is revolving with an angular velocity `omega`. A coin is placed at a distance `R` from the centre of the record. The static coefficient of friction is `mu`. The coin will revolve with the record ifA. `rgtmugomega^(2)`B. `r=mug//omega^(2)`onlyC. `rltmug//omega^(2)`onlyD. `rlemug//omega^(2)` |
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Answer» Correct Answer - D |
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| 45. |
A uniform rope of length l lies on a table if the coefficient of friction is , then the maximum length l, of the part of this rope which can over hang from the edge of the table without sliding down is -A. `l/(mu)`B. `l/(mu)+1`C. `(mul)/(mu+1)`D. `(mul)/(mu-1)` |
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Answer» Correct Answer - c |
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| 46. |
A particle of mass `0.5 kg` is displaced from position `vec r_(1)(2,3,1)` to`vec r_(2)(4,3,2)` by applying a force of magnitude `30 N` which is acting along `(hati + hatj + hatk)`. The work done by the force isA. `10sqrt(3j)`B. `30sqrt3J`C. 30JD. None of these |
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Answer» Correct Answer - B |
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| 47. |
Assertion : A coin is placed on phonogram turn table. The motor is started, coin moves along the moving table. Reason : Rotating table is providing necessary centripetal force to the coin.A. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - A |
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| 48. |
Assertion: Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason: The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball.A. If both Statement- I and Statement- II are true, and Statement - II is the correct explanation of Statement– I.B. If both Statement - I and Statement - II are true but Statement - II is not the correct explanation of Statement – IC. If Statement - I is true but Statement - II is false.D. If Statement - I is false but Statement - II is true |
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Answer» Correct Answer - A |
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| 49. |
A horizontal circular plate is rotating about a vertical axis passing through its centre with an angular velocity `omega_0`. A man sitting at the centre having two blocks in his hands stretches out his hands so that the moment of inertia of the system doubles. if the kinetic energy of the system is K initially, its final kinetic energy will beA. 2KB. `K//2`C. KD. `K//4` |
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Answer» Correct Answer - D |
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| 50. |
A bar of mass `M` and length `L` is in pure traslatory motion with its of mass velocity `V` . It collides with and sticks to a second identical bar which is initially at rest . `(` Assume that it bocomes one composite bar of length `2L)`. The angular velocity of the composite bar will be A. `(3v)/(4l)` anticloclwiseB. `(4v)/(3l)` anticlockwiseC. `(3v)/(4l)` clockwiseD. `(4v)/(3l)` clockwise |
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Answer» Correct Answer - A |
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