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This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Let `[epsilon_(0)]` denote the dimensional formula of the permittivity of the vacuum, and `[mu_(0)]` that of the permeability of the vacuum. If `M = mass ,L = length, T = time and I = electric current`,A. `[epsilon_(0)]=[M^(-1)L^(-3)T^(2)l]`B. `[epsilon_(0)]=[M^(-1)L^(-3)T^(4)l^(2)]`C. `[mu_(0)]=[MLT^(-2)l^(-2)]`D. `[mu_(0)]=[ML^(2)T^(-1)l]` |
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Answer» Correct Answer - B::C::D |
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| 2. |
In an experiment to determine the acceleration due to gravity `g`, the formula used for the time period of a periodic motion is `T = 2pisqrt((7(R - r)/(5g)`. The values of `R and r` are measured to be `(60 +- 1)mm and (10 +- 1)mm`, repectively. In five successive measurment, the time period is found to be `0.52s, 0.56s,0.57s,0.54s and 0.59s`. the least count of the watch used for the measurement of time period is `0.01s`. Which of the following satement `(s)` is `(are)` true?A. The error in the measurement of `r` is `10%`B. The error in the measurement of `T` is `3.57%`C. The error in the measurement of `T` is `2%`D. The error in the determined value of `g` is `11%` |
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Answer» Correct Answer - A::B::D |
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| 3. |
What is the reading of verneir scale shown in figure? A. `54.6mm`B. `53.2mm`C. `52.7mm`D. `54.7mm` |
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Answer» Correct Answer - B |
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| 4. |
In an experiment refractive index of glass was observed to be 1.45, 1.56, 1.54, 1.44, 1.54 and 1.53. The mean absolute error in the experiement isA. `+-0.04`B. `0.02`C. `-0.03`D. `+-0.01` |
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Answer» Correct Answer - A |
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| 5. |
The value of the following expression `hati.(hatjxxhatk)+j.(hatixxhatk)+hatk.(hatjxxhati)`is |
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Answer» Correct Answer - C |
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| 6. |
The vector `hati+xhatj+3hatk` is rotated through an angle `theta` and doubled in magnitude then it becomes `4hati+(4x-2)hatj+2hatk`. The values of `x` areA. `-2/3`B. `1/3`C. `2/3`D. `2` |
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Answer» Correct Answer - A::D |
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| 7. |
A plane is inclined at an angle `30^(@)` with horizontal. The component of a vector `vec(A)= -10k` perpendicular to this plane is: (here z-direction is vertically upwards)A. `5sqrt(2)`B. `5sqrt(3)`eC. `5`D. `2.5` |
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Answer» Correct Answer - B |
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| 8. |
In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units, then the dimensional formula of energy isA. `FA^(2)T`B. `FAT^(2)`C. `FA^(2)T^(3)`D. `FAT` |
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Answer» Correct Answer - B |
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| 9. |
If by mistake Ammeter is connected parallel to the resistance then `i-V` curve expected is (Here `i`= reading of ammeter, `V=` reading of voltmeter) A. B. C. D. |
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Answer» Correct Answer - D |
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| 10. |
The length of a wire is measured with a metre scale having least count `1mm`. Its diameter is measued with a vernier calipers of least count `0.1mm`. Given that length and diameter of the wire are measured as `5cm` and `4mm`, the percentage error in the calculated value of volume of the wire will beA. 0.03B. 0.05C. 0.07D. 0.02 |
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Answer» Correct Answer - C |
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| 11. |
What type of mirror is most suitable as shaving glass?A. Plane mirrorB. Convex mirrorC. Concave mirror of large focal lengthD. Concave mirror of small focal length |
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Answer» Correct Answer - C |
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| 12. |
While determining the value of `g` using simple pendulum, we plot a graph between `l` and `T^(2)` which isA. a straight lineB. a parabolaC. an ellipseD. a circle |
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Answer» Correct Answer - A |
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| 13. |
If `a=hati+4hatj+2sqrt(2)hatk` and `b=(hati+hatj)sqrt(2)` then find component of a perpendicular to `b`A. `5/(sqrt(2))`B. `9/(sqrt(2))`C. `7/(sqrt(2))`D. None of these |
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Answer» Correct Answer - A |
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| 14. |
Suppose force `(F)` , area `(A)` and time `(T)` are the fundamental units, then match the following |
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Answer» Correct Answer - A::B::C |
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| 15. |
The `|u|,|v|` graph for a concave mirror is a shown in figure. Here `|u|gt|f|`. A line passing through origin of slope 1 cut the graph at point `P`. Then co-ordinate of point `P` are A. `(|2f|,|2f|)`B. `(|2f| ,|f|)`C. `(|f|,|2f|)`D. `(|f|,|f|)` |
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Answer» Correct Answer - A |
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| 16. |
The dimensions of a rectangular block measured with a vernier callipers having least count of `0.1mm` is `5mmxx10mmxx5mm`. The maximum percentage error in measurement of volume of the blcok isA. 0.05B. 0.1C. 0.15D. 0.2 |
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Answer» Correct Answer - A |
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| 17. |
The graph showing correctly the variation of image distance `(v)` as a function of object distance `(u)` in case of a concave mirror isA. B. C. D. |
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Answer» Correct Answer - A |
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| 18. |
For component of a vector `A=(3hati+4hatj-5hatk)`, match the following table |
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Answer» Correct Answer - A::B::C::D |
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| 19. |
Match the following |
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Answer» Correct Answer - A::B::C::D |
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| 20. |
For the second overtone which option shows correct mode for displacement `y` and pressure variation `DeltaP`A. B. C. D. |
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Answer» Correct Answer - B |
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| 21. |
The main scale of a vernier callipers reads in millimeter and its vernier is divided into ten divisions, which coincide with seven divisions of main scale. Further when a cylinder is tightly placed along its length between two jaws, it is observed that the zero of vernier scale just right to 32 division of main scale and fourth division of vernier scale coincides with the main scale. Then the measured value is `0.83Kcm`. Find the value of `K`. |
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Answer» Correct Answer - 4 |
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| 22. |
The length of a rod is `(11.05+-0.05)cm`. What is the length of two such rods?A. `(22.1+-0.05)cm`B. `(22.10+-0.05)cm`C. `(22.1+-0.10)cm`D. `(22.10+-0.10)cm` |
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Answer» Correct Answer - D |
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| 23. |
The relative density of material of a body is found by weighting it first in air and then in water . If the weight in air is `( 5.00 +- 0.05) N` and the weight in water is `(4.00 +- 0.05) N`. Find the relative density along with the maximum permissible percentage error.A. `(5.00+-0.05)`B. `(5.00+-11%)`C. `(500+-0.10)`D. `(5.00+-6%)` |
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Answer» Correct Answer - B |
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| 24. |
The sum, difference and cross produce of two vectors `A` and `B` are mutually perpendicular ifA. `A` and `B` are perpendicular to each other and `|A|=|B|`B. `A` and `B` are perpendicular to each otherC. `A` and `B` are perpendicular but their magnitude are arbitraryD. `|A|=|B|` and their directions are arbitrary |
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Answer» Correct Answer - D |
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| 25. |
In the relation: `P=(alpha)/(beta)e^(-(alphaZ)/(ktheta)),P` is pressure `Z` is distance `k` is Boltzmann constant and `theta` ils the temperature. The dimensional formula of `beta` will besA. `[M^(0)L^(2)T^(0)]`B. `[ML^(2)T^(1)]`C. `[ML^(0)T^(-1)]`D. `[M^(0)L^(2)T^(-1)]` |
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Answer» Correct Answer - A |
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| 26. |
A wire has a mass `(0.3pm0.003)` g, radius `(0.5pm0.005)` mm and length `(6pm0.06)`cm. The maximum percentage error in the measurement of its density isA. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - D |
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| 27. |
The dimension of `e^(2)//epsilon_(0)hc` (here symbols have their usual meanings) areA. `[M^(0)L^(0)T^(0)]`B. `[M^(2)L^(-2)T^(-4)A^(-2)]`C. `[M^(3)L^(2)T^(-2)A^(2)]`D. `[L^(-3)T^(2)A^(-3)]` |
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Answer» Correct Answer - A |
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| 28. |
Each division on the main scale is `1 mm`. Which of the following vernier scales give vernier constant equal to `0.01 mm`?A. `9mm` divided into 10 divisionsB. `90mm` divided into 10 divisionsC. `99 mm` divided into 100 divisionsD. none of these |
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Answer» Correct Answer - C |
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| 29. |
The `x-y` plane is the boundary between two transparent media. Medium-1 with `zle0` has a refractive index `sqrt(2)` and medium -2 with `zle0` has a refractive index `sqrt(2)`. A ray of light in medium -1 given by vector `A=sqrt(3)hati-hatk` is incident on the plane of separation. The unit vector in the direction of the refracted ray in medium-2 isA. `1/(sqrt(2))(hatk-hati)`B. `1/(sqrt(2))(hati+hatj)`C. `1/(sqrt(2))(hati-hatk)`D. `1/(sqrt(2))(hati+hatk)` |
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Answer» Correct Answer - C |
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| 30. |
The distance between the point `P(2m,3m,4m)` and the `x`-axisA. `sqrt(29)m`B. `5m`C. `sqrt(13)m`D. `sqrt(20)m` |
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Answer» Correct Answer - B |
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| 31. |
`A` and `B` are two vectors in a plane at an angle of `60^(@)` with each other. `C` is another vector perpendicular to the plane containing vector `A` and `B`. Which of the following releations is possible?A. `A+B=C`B. `A+C=B`C. `AxxB=C`D. `AxxC=B` |
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Answer» Correct Answer - C |
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| 32. |
If `vec(A)xxvec(B)= vec(C )+vec(D)`, then select the correct alternative.A. `B` is paralel to `C+D`B. `A` is perpendicular to `C`C. Component of `C` along `A=` component of `D` along `A`D. Component of `C` along `A=`- component of `D` along `A` |
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Answer» Correct Answer - D |
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| 33. |
If `a,b,` and `c` are the unit vectors along the incident ray, reflected ray and the outward normal to the reflector. ThenA. `b=a=c`B. `b=a+(a.c)c`C. `b=2a-c`D. `b=a-2(a.c)c` |
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Answer» Correct Answer - D |
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| 34. |
If the angle between the vectors A and B is `theta`, the value of the product (BxA). A is equal toA. `BA^(2)cos theta`B. `BA^(2) sin theta`C. `BA^(2) sin theta cos theta`D. zero |
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Answer» Correct Answer - D |
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| 35. |
If `vec(a_(1)) and vec(a_(2))` are two non-collinear unit vectors and if `|vec(a_(1)) + vec(a_(2))|=sqrt(3)`, then the value of `(vec(a_(1))-vec(a_(2))). (2 vec(a_(1))+vec(a_(2)))` is :A. `2`B. `3//2`C. `1//2`D. `1` |
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Answer» Correct Answer - C |
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| 36. |
The significant digits in 200.40 areA. 4B. 5C. 2D. 3 |
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Answer» Correct Answer - B |
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| 37. |
The area of a rectangle of size `1.23 xx 2.345 cm` isA. `2.88cm^(2)`B. `2.884cm^(2)`C. `2.9cm^(2)`D. `2.88435cm^(2)` |
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Answer» Correct Answer - A |
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| 38. |
After rounding off the number 4621 to 2 significant digits the value becomesA. 4600B. 4620C. 4700D. 4720 |
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Answer» Correct Answer - A |
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| 39. |
What is vernier constant?A. It is the value of one main scale division divided by the total number of divisons on the main scaleB. It is the value of one vernier scale division divided by the total number of divisions on the verier scaleC. It is the difference between value of one main scale division and one vernier scale divisionD. It is also the least count of the vernier scale |
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Answer» Correct Answer - C::D |
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| 40. |
Given `a+b+c+d=0`. Which of the following statements(s) is (are) correct?A. `a,b,c,` and `d` much each be a null vectorB. The magnitude of `a+c` equals the magnitude of `b+d`C. The magnitude of `a` can never be greater than the sum of the magnitudes of `b,c` and `d`D. `b+c` must lie in the plane of `a` and `d` if `a` and `d` are not colinear and in the line of `a` and `d` if they are collinear |
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Answer» Correct Answer - B::C::D |
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| 41. |
Which of the following quantities are independent of the choice of orientation of the co-ordinate axes?A. `a+b`B. `a_(x)+b_(y)`C. `|a+b-c|`D. angle between `a` and `b` |
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Answer» Correct Answer - A::C::D |
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| 42. |
A quantity `X` is given by `epsilon_(0) L(DeltaV)/(Deltat)`, where `epsilon_(0)` is the permittivity of free space `L` is a length `DeltaV` is a potnetial difference and `Delta` is a time internval. The dimensional forumla to `X` is the same as that ofA. resistanceB. chargeC. voltageD. current |
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Answer» Correct Answer - D |
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| 43. |
A cube has a side length `1.2xx10^(-2)m`.Calculate its volumeA. `1.7xx10^(-6)m^(3)`B. `1.73xx10^(-6)m^(3)`C. `1.70xx10^(-6)m^(3)`D. `1.732xx10^(-6)m^(3)` |
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Answer» Correct Answer - A |
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| 44. |
The least count of a stop watch is 0.2 s, The time of 20 oscillations of a pendulum is measured to be 25s. The percentage error in the time period isA. 0.16B. `0.8%`C. `1.8%`D. `8%` |
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Answer» Correct Answer - B |
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| 45. |
The pitch of a screw gauge having `50` divisions on its circular scale is `1 mm` When the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies `6` divisions below the line of gradution. when a wire is placed between the jaws, `3` linear scale divisions are clearly visible while `31` division on the circular scale coincides with the reference line. Find diameter of the wire.A. `3.62mm`B. `3.50mm`C. `3.55mm`D. `3.74mm` |
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Answer» Correct Answer - B |
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| 46. |
The pitch of a screw gauge is `0.55mm` and there are 100 divisions on its circular scale. The instrument reads `+2` divisions when nothing is put in between its jaws. In measuring the diameter of a wire, there are 8 divisions on the main scale and `83^(rd)` division coincides with the reference. Then the diameter of the wire isA. `4.05mm`B. `4.8455mm`C. `3.05mm`D. `4.8675mm` |
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Answer» Correct Answer - B |
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| 47. |
The pitch of a screw gauge is `0.5m` and there are 50 divisins on its circular scale and one man scale division `=0.5mm`. Before starting the measurement, it is found that when jaws of the screw gauge are brought in contact, the zero of the circular scale lies 5 divisions above the reference line. When a metallic wire is placed betwen the jaws, four main scale divisions are clearly visible and `16^(th)` division on the circular scale coincides with the reference line. The diameter of the wire isA. `2.21mm`B. `2.11mm`C. `2.18mm`D. `2.23mm` |
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Answer» Correct Answer - A |
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| 48. |
The external and internal diameters of a hollow cylinder are measured to be `(4.23+-0.01)` cm and `(3.89+-0.01)`cm. The thickne of the wall of the cylinder isA. `(0.34+-0.02)cm`B. `(0.17+-0.02)cm`C. `(0.17+-0.01)cm`D. `(0.34+-0.01)cm` |
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Answer» Correct Answer - C |
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