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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.
| 51. |
If a=10, b=4, c=6, d=9, find :- (i)`(ad)/(bc)` (ii)`ad xx bc` |
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Answer» Correct Answer - (i)`(15)/(4)` (ii) 2160 |
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| 52. |
Calculate the value of x in the following equation :- (i)`x^(2)-5x+6=0` (ii)`x^(2)-9x+20=0` (iii)` x^(2)-15x+56=0` (iv)`x^(2)-16x+63=0` |
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Answer» Correct Answer - (i) 2,3, (ii) 4.5 (iii) 7,8 (iv) 7,9 |
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| 53. |
Given `KE=(1)/(2)mv^(2)`. If `m=10kg, v=5m//s` then find the value of KE? |
| Answer» Correct Answer - 125 J | |
| 54. |
In a standing transerse wave on a string :A. In one time period all the particles are simultaneously at rest onceB. All the particles must be at their positive extremes once in a time periodC. All the particles may be at their positive extremes simulanecously once in a time period.D. All the particles are never at rest |
| Answer» Correct Answer - B | |
| 55. |
A string vibrates in 5 segments to a frequency of 480 Hz. The frequency that will cause it to vibrate in 2 segments will beA. 96 HzB. 192 HzC. 1200 HzD. 2400 Hz |
| Answer» Correct Answer - B | |
| 56. |
Which of the following numbers are non positive?A. `5^(log_(11)7) - 7^(log_(11)5)`B. `log_(3) (sqrt(7)-2)`C. `log_(7)((1)/(2))^(-1//2)`D. `log_(sqrt(2)-1).(sqrt(2)+1)/(sqrt(2)-1)` |
| Answer» Correct Answer - D | |
| 57. |
Let `x =(log_(sin 30^(@))cos 30^(@))(log_(cos30^(@))cot30^(@)) (log_(cot 30^(@))coses 30^(@))` and `y = 3^(log_(cot 30^(@))(|x|+3))` then value of y is equal to-A. 4B. 16C. 12D. 10 |
| Answer» Correct Answer - A | |
| 58. |
The possible value(s) of x, satisfying the equation `log_(2)(x^(2)-x)log_(2) ((x-1)/(x)) + (log_(2)x)^(2) = 4`, is (are)A. `(5)/(4)`B. 5C. `(25)/(4)`D. `(15)/(4)` |
| Answer» Correct Answer - D | |
| 59. |
Two soap bubbles, one of radius `50 mm` and the other of radius `80 mm`, are brought in contact so that they have a common interface. The radius of the curvature of the common interface isA. 114.6 mmB. 125.6 mmC. 133.3 mmD. 154.6 mm |
| Answer» Correct Answer - C | |
| 60. |
Graph shows three waves that are separately sent along a string that is stretched under a certain tension along x-axis. If `omega_(1),omega_(2) and omega_(3)` are their angular frequencies, respectively, then: A. `omega_(1)=omega_(3)gtometa_(2)`B. `omega_(1)gtomega_(2)omega_(3)`C. `omega_(1)gtomega_(1)=omega_(2)`D. `omega_(1)=omega_(2)=omega_(3)` |
| Answer» Correct Answer - A | |
| 61. |
A sparrow flying in air sits on a stretched telegraph wire If weight of the sparrow is `W` which of the following is true about the tension `T` produced in the wire ?A. T=WB. `TgtW`C. `TltW`D. T=0 |
| Answer» Correct Answer - B | |
| 62. |
A particle of mass 50 g is projected horizontally from the top of a tower of height 50 m with a velocity `20m//s`. If `g=10m//s^(2)`, then find the :-A. Velocity at the instant t=2 sB. Position at the instant t=3 sC. Velocity just before hitting the groundD. Change in velocity in 2 s |
| Answer» Correct Answer - A::B::C::D | |
| 63. |
An observer is travelling in east with a velocity of 2 m/s and observes that wind is blowing in north with a velocity of 2m/s. If observer doubles his velocity then find out the velocity of wind appears to observer ? |
| Answer» Correct Answer - `2sqrt(2)m//s` N-W | |
| 64. |
One mole of an ideal monoatomic gas at temperature `T_0` expands slowly according to the law `p/V` = constant. If the final temperature is `2T_0`, heat supplied to the gas isA. `(RT_(0))/(2)`B. `RT_(0)`C. `2RT_(0)`D. `(3)/(2)RT_(0)` |
| Answer» Correct Answer - C | |
| 65. |
When a mass m attached to a spring it oscillates with period 4s. When an additional mass of 2 kg is attached to a spring, time period increases by 1s. The value of m is :-A. 3.5 kgB. 8.2 kgC. 4.7 kgD. 2.6 kg |
| Answer» Correct Answer - A | |
| 66. |
When two progressive waves of intensity `I_(1)` and `I_(2)` but slightly different frequencies superpose, the resultant intensity flutuates between :-A. `(sqrt(I_(1))+sqrt(I_(2)))^(2)" and "(sqrt(I_(1))-sqrt(I_(2)))^(2)`B. `(sqrt(I_(1))+sqrt(I_(2)))" and "(sqrt(I_(1))-sqrt(I_(2)))`C. `(I_(1)+I_(2))" and "(sqrt(I_(1))-sqrt(I_(2)))`D. `(I_(1))/(I_(2))"and"(I_(2))/(I_(1))` |
| Answer» Correct Answer - A | |
| 67. |
A vernier callipers having `1` main scale division `= 0.1 cm` to have a least count of `0.02 cm`.If `n` be the number of divisions on vernier scale and `m` be the length of vernier scale, then.A. n=10, m=0.5 cmB. n=9, m=0.4 cmC. n=10, m=0.8 cmD. n=10, m=0.2 cm |
| Answer» Correct Answer - 3 | |
| 68. |
Two full turns of the circular scale of a screw gauge cover a distance of `1mm` on its main scale. The total number of divisions on the circular scale is `50`. Further, it is found that the screw gauge has a zero error of `- 0.03mm`. While main scale reading of `3mm` and the number of circular scale divisions in line with the main scale as `35`. the dimeter of the wire isA. 3.32 mmB. 3.73 mmC. 3.67 mmD. 3.38 mm |
| Answer» Correct Answer - 4 | |
| 69. |
The pitch of a screw gauge is 1mm and there are 100 divisions on circular scale. While measuring the diameter of a wire, the linear scale reads 1 mm and 47th division on circular scale coincides with reference line. The length of the wire is 5.6 cm. Find the curved surface area of the wire in `cm^2` to correct number of significant figures. |
| Answer» Correct Answer - `2.6 cm^(2)` | |
| 70. |
The main scale of a vernier callipers reads in millimeter and its vernier is divided into 10 divisions which coincides with 9 divisions of the main scale. The reading for shown situation is found to be `(x//10)`mm. Find the value of x. . |
| Answer» Correct Answer - 6.9 mm | |
| 71. |
The circular scale of a micrometer has `200` divisions and pitch of `2 mm`. Find the measured value of thickness of a thin sheet. .A. 3.41 mmB. 6.41 mmC. 3.46 mmD. 3.51 mm |
| Answer» Correct Answer - 2 | |
| 72. |
In the figure above (no to scale), `l ||m` and also `x:y = 5:3`. Find the measure of angles `(x-40^(@))` and `(y+40^(@))` respectively. A. `60^(@),100^(@)`B. `60^(@),60^(@)`C. `100^(@),60^(@)`D. `60^(@),80^(@)` |
| Answer» Correct Answer - A | |
| 73. |
`l n ((3)/(sqrt(3)))- ln (2+sqrt(3))` equals (where `l nx = log_(e)x)`A. `l n sqrt(3) +ln(2-sqrt(3))`B. `ln 3- ln (2-sqrt(3))`C. `ln 3 - ln (2-sqrt(3))`D. `ln sqrt(3)+ln (2+sqrt(3))` |
| Answer» Correct Answer - C | |
| 74. |
The unit of length convenient on the atomic scale is known a an angstrom and is denoted by `A10^(10)m`. The radius of the hydrogen atom is about 0.5 A. What is the total atomic valume in `m^(3)` of a mole of hydrogen atoms?A. `3.15xx10^(-7)m^(3)`B. `3.15xx10^(-9)m^(3)`C. `3.15xx10^(-4)m^(3)`D. `3.15xx10^(-20)m^(3)` |
| Answer» Correct Answer - A | |
| 75. |
Use the approximation `(1+x)^(n)~~1+nx,|x|ltlt1,` to find approximate value for (a)`sqrt(99)` (ii)`(1)/(1.01)` |
| Answer» Correct Answer - (a) 9.95, (b) 0.99 | |
| 76. |
The charge flowing throug a conductor beginning with time to=0 is given by the formula `q=2t^(2)+3t+1` (coulombs). Find the current `i=(dq)/(dt)` at the end of the 5th seconds. |
| Answer» Correct Answer - 23 Amp. | |
| 77. |
A car moves along a straight line whose equation of motion is given by `s=12t+3t^(2)-2t^(3)` where s is in metres and t is in seconds. The velocity of the car at start will be :-A. 7 m/sB. 9 m/sC. 12 m/sD. 16 m/s |
| Answer» Correct Answer - C | |
| 78. |
A body is moving with variable acceleartion (a) along a straight line. The average acceleration of body in time interval `t_(1)" to "t_(2)` is :-A. `(a[t_(2)+t_(1)])/(2)`B. `(a[t_(2)-t_(1)])/(2)`C. `(underset(t_(1))overset(t_(2))int"a dt")/(t_(2)+t_(1))`D. `(underset(t_(1))overset(t_(2))int"a dt")/(t_(2)-t_(1))` |
| Answer» Correct Answer - D | |
| 79. |
A particle moves in a straight line and its position x at time t is given by `x^(2)=2+t`. Its acceleration is given by :-A. `(-2)/(x^(3))`B. `-(1)/(4x^(3))`C. `-(1)/(4x^(2))`D. `(1)/(x^(2))` |
| Answer» Correct Answer - B | |
| 80. |
A particle projected from origin moves in x-y plane with a velocity `vecv=3hati+6xhatj`, where `hati" and "hatj` are the unit vectors along x and y axis. Find the equation of path followed by the particle :-A. `y=x^(2)`B. `y=(1)/(x^(2))`C. `y=2x^(2)`D. `y=(1)/(x)` |
| Answer» Correct Answer - A | |
| 81. |
A point moves along a circle with speed v=at. The total acceleration of the point at a time when it has traced 1//8th of the circumference is:A. `(v)/(8a)`B. `2asqrt(4+pi^(2))`C. aD. `(a)/(2)sqrt(4+pi^(2))` |
| Answer» Correct Answer - D | |
| 82. |
A man starts walking in south direction from point P (as shown in figure) & reaches point `Q(PQ = 4m)`, then the moves towards east direction & reaches at point `R(QR = 3m)`. Now he moves towards north direction & reaches at points `S(RS = 10m)` & finally he moves towards east direction & reaches at point `T(ST = Xm)`. On the basis of above information, answer the following questions : `tan theta` is-A. `(4)/(3)`B. `-(4)/(3)`C. `(3)/(4)`D. `-(3)/(4)` |
| Answer» Correct Answer - C | |
| 83. |
A motor car is travelling at `60m//s` on a circular road of radius 1200m. It is increasing its speed at the rate of `4m//s^(2)`. The acceleration of the car is:A. `3 m//s^(2)`B. `4 m//s^(2)`C. `5 m//s^(2)`D. `7 m//s^(2)` |
| Answer» Correct Answer - C | |
| 84. |
If `a_(r )` and `a_(t)` respresent radial and tangential acceleration, the motion of a particle will be circular isA. (i, iii)B. (ii, iii)C. (iii, iv)D. (ii, iv) |
| Answer» Correct Answer - C | |
| 85. |
Two small boats are `10m` apart on a lake. Each pops up and down with a period of 4.0 seconds due to wave motion on the surface of water. When one boat is at its highest point, the other boat is its lowest point. Both boats are always within a single cycle of the waves. The speed of the waves is:A. 2.5 m/sB. 5.0 m/sC. 14 m/sD. 40 m/s |
| Answer» Correct Answer - B | |
| 86. |
The minimum velocity (in ms^(-1))` with which a car driver must traverse a flat curve of radius 150m and coefficient of friction 0.6 to avoid skidding isA. 60B. 30C. 15D. 25 |
| Answer» Correct Answer - B | |
| 87. |
A partcle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down :A. `sqrt(gR)`B. `sqrt(2gR)`C. `sqrt(3gR)`D. `sqrt(5gR)` |
| Answer» Correct Answer - A | |
| 88. |
A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to breakA. When the mass is at the highest pointB. When the mass is at the lowest pointC. When the wire is horizontalD. At an angle of `cos^(-1)(1//3)` from the upper vertical. |
| Answer» Correct Answer - B | |
| 89. |
A 2 kg stone at the end of a string 1 m long is whirled in a vertical circle. At some point its speed is 4m/s. The tension of the string is 51.6 newton. At this instant the stone is :A. at the top of the circleB. at the bottom of the circleC. half way downD. none of these |
| Answer» Correct Answer - B | |
| 90. |
The molecule , which are electron deficient having tendency to form back bonding, in which transfer of lone pair of electron from filled orbital of an atom to the vacant orbital of the adjacent atom. While some electron deficient species which are not capable to form back bonding, then driving forces occurs for dimerisation/polymerisation to achieve octet temporily or permanently by the monomeric species. Which of the following readily gets combined with lewis base `(NH_(3),CH_(3)NH_(2),C_(5)H_(5)N "etc")`A. `C_(2)H_(6)`B. `I_(2)Cl_(6)`C. `B_(2)H_(6)`D. `(BeCl_(2))_(n)` |
| Answer» Correct Answer - A | |
| 91. |
Which of the following molecule has odd `e^(-)`A. `ClO_(2)`B. `O Cl_(2)`C. `O(SiH_(3))_(2)`D. `SCl_(2)` |
| Answer» Correct Answer - A | |
| 92. |
Which of the following species does not exist ?A. `PbCl_(2)`B. `BiCl_(5)`C. `PbI_(4)`D. `BiI_(3)` |
| Answer» Correct Answer - A | |
| 93. |
If `|hatAxxhatB|=-sqrt(3)hatA.hatB`, then `|hatA-hatB|`=………………….. |
| Answer» Correct Answer - D | |
| 94. |
The frequency of a radar is 780 MHz. After getting reflected from an approaching aeroplane, the apparent frequency is more than the actual frequency by 2.6 kHz. The aeroplane has a speed ofA. 0.25 km/sB. 0.5 km/sC. 1.0 km/sD. 2.0 km/s |
| Answer» Correct Answer - B | |
| 95. |
Two electric lamps A and B radiate the same power. Their filaments have the same diemensions, and have emissivities. `e_(A)` and `e_(B)`. Their surface tempratures are `T_(A)` an `T_(B)`. The ratio `T_(A)//T_(B)` will be equal toA. `((e_(B))/(e_(A)))^(1//4)`B. `((e_(B))/(e_(A)))^(1//2)`C. `((e_(A))/(e_(B)))^(1//2)`D. `((e_(A))/(e_(B)))^(1//4)` |
| Answer» Correct Answer - A | |
| 96. |
A man sitting in a moving train hears the whistle of the engine. The frequency of the whistle is 600 HzA. The apparent frequency as heard by him is smaller than 600 HzB. The apparent frequency is larger than 600 HzC. The frequency as heard by him is 600 HzD. none of the above |
| Answer» Correct Answer - C | |
| 97. |
A small body of mass m falls to the earth from infintie distance away. What will be its velocity or reaching the earth? (Radius of the earth = R, acceleration due to gravity on the surface of the earth is g) :-A. `gR`B. 2gRC. `sqrt(gR)`D. `sqrt(2gR)` |
| Answer» Correct Answer - D | |
| 98. |
Two resistance are measured in ohm and is given as:- `R_(1)=3Omega+-1% &R_(2)=6Omega+-2%` When they are connected in parallel, the percentage error in equivalent resistance isA. `3%`B. `4.5%`C. `0.67%`D. `1.33%` |
| Answer» Correct Answer - D | |
| 99. |
When a same force is applied on two different objects. It produces accelerations of `4m/sec^(2)` and `6m/sec^(2)`. In these objects, if the same force is applied on the combination of these objects, calculate acceleration of combination. |
| Answer» Correct Answer - `a=2.4 m//s^(2)` | |
| 100. |
A sphere and a cube of same material and same total surface area are placed in the same evaculated space turn by turn after they are heated to the same temperature. Find the ratio of their initial rates of cooling in the enclosure.A. `sqrt((pi)/(6)):1`B. `sqrt((pi)/(2)):1`C. `sqrt((pi)/(3)):1`D. `(pi)/(sqrt(3)):1` |
| Answer» Correct Answer - A | |