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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.
| 201. |
If the value of force is 100 N and vlaue of acceleration is 0.001 `ms^(-2)` what is the value of mass in this system of units?A. `10^(3)kg`B. `10^(4)kg`C. `10^(5)kg`D. `10^(6)kg` |
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Answer» Correct Answer - C Here, F=100N, a=0.001 `ms^(-2)` `becauseF=ma` `thereforem=(F)/(a)=(100N)/(0.001ms^(-2))=10^(5)kg` |
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| 202. |
The dimensions of a wooden block are `1.1m xx 2.36m xx 3.1m`. The number of significant figures in its volume should beA. `1`B. `2`C. `3`D. `4` |
| Answer» Correct Answer - B | |
| 203. |
The mass of a box is `2.3 kg`. Two marbles of masses `2.15 g and 12.39 g` are added to it . Find the total mass of the box to the correct number of significant figures.A. `2.348kg`B. `2.3428kg`C. `2.34kg`D. `2.31kg` |
| Answer» Correct Answer - D | |
| 204. |
The base quantity among the following isA. SpeedB. WeightC. LengthD. Area |
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Answer» Correct Answer - C |
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| 205. |
Which of the following is not a unit of timeA. secondB. minuteC. hourD. light year |
| Answer» Correct Answer - 4 | |
| 206. |
The volume of a cube having sides 1.2 m is appropriately expressed asA. `1.728xx10^(6)cm^(3)`B. `1.7xx10^(6)cm^(3)`C. `1.8xx10^(6)cm^(3)`D. `1.73xx10^(6)cm^(3)` |
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Answer» Correct Answer - B |
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| 207. |
Which of the following is not a unit of time?A. secondB. minuteC. hourD. light year |
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Answer» Correct Answer - D |
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| 208. |
One astronomical unit (AU) is equal toA. `9.46xx10^15` mB. `1.496xx10^11` mC. `3xx10^8` mD. `3.08xx10^16` m |
| Answer» Correct Answer - 2 | |
| 209. |
One astronomical unit (AU) is equal toA. `1.496xx10^(8)km`B. `9.46xx10^(12)km`C. `3.084xx10^(13)km`D. `4.596xx10^(15)km` |
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Answer» Correct Answer - A 1AU=`1.496xx10^(11)m=1.496xx10^(8)km` |
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| 210. |
The initial and final temperature of a liquid are measured to be `(67.7 +- 0.2)^(0) c` and `(76.3 +- 0.3)^(0)c` then rise in temperture with error limit isA. `(8.6 +- 0.2)^(0) C`B. `(8.6 +- 0.3)^(0)C`C. `(8.6 +- 0.5)^(0) C`D. `(8.6 +- 0.6)^(0) C` |
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Answer» Correct Answer - C `Delta t = t_(2) - t_(1)` |
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| 211. |
Force and area are measured as `20N` and `5m^(2)` with errors `0.05N` and `0.0125m^(2)`. The maximum error in pressure is (`SI` unit)A. `4 +- 0.625`B. `4 +- 0.5`C. `4 +- 0.125`D. `4 +- 0.02` |
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Answer» Correct Answer - D `P = (F)/(A) implies (Delta P)/(P) = (Delta F)/(F) + (Delta A)/(A) implies DeltaP = P ((Delta F)/(F) + (Delta A)/(A))` |
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| 212. |
The error in the measurement of the radius of a sphere is 2%. What will be the error in the calculation of its surface area? |
| Answer» Surface area A =`4pir^2 , therefore (DeltaA)/A=(2Deltar)/r` or `4%` | |
| 213. |
How many zeroes are significant in the following measured values? (i)60400 , (ii)0.030600 |
| Answer» (i) one , (ii) Three | |
| 214. |
Light year is :A. light emitted by the sun in one year.B. The time taken by light to travel from sun to earth.C. The distance travelled by light in free space in one year.D. The time taken by earth to go once around the sun. |
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Answer» Correct Answer - C Light year is the distance travelled by light in free space in one year. |
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| 215. |
Which of the following is smallest unit?A. millimetreB. angstromC. fermiD. metre. |
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Answer» Correct Answer - C 1mm`=10^(-3)m,1"Ã…"=10^(-10)m,1f m=10^(-15)m` Among the given units fermi is the smallest unit. |
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| 216. |
Match the column I with Column II. .A. A-p,B-q,C-r,D-sB. A-r,B-s,C-q,D-pC. A-q,B-p,C-s,D-rD. A-s,B-r,C-p,D-q |
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Answer» Correct Answer - B Destance between earth and sun-light year intratomic distance in a solid-angstrom Size of a nucleus-Fermi Wavelength of infrared laser-Micron |
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| 217. |
Which one of the following intruments is not used for the measurement of length?A. Atomic clockB. varnier callipersC. Screw gaugeD. Spherometer |
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Answer» Correct Answer - A Vernier callipers, screw gauge and spherometer are used for the measuremet of length whereas atomic clock is used for the measuremet of time. |
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| 218. |
Which of the following statements is incorrect?A. Every measurement by measuring instrument has some error.B. A measurement can have more accuracy but less precision and vice versa.C. Every calculated quantity that is based on measured values has some error.D. The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement. |
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Answer» Correct Answer - D The magnitude of the differecen between the true value of the quantity and the individual measurement. Hence, option (d) is an incorrect statement while all other statements are correct. |
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| 219. |
A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?A. `MLT^(-4), MLT^(-2)`B. `MLT^(-3), MLT^(-4)`C. `ML^(2)T^(-3), ML^(2) T^(-2)`D. `ML^(2) T^(-3), ML^(3)T^(-4)` |
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Answer» Correct Answer - B `MLT^(-2) = at, MLT^(-2) = bt^(2)` |
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| 220. |
A length of `5.0 xx 10^1` cm when converted into meter can be written asA. 0.5 mB. 0.50 mC. `5.0xx10^(-1)` mD. `5.00xx10^(-1)` m |
| Answer» Correct Answer - 2,3 | |
| 221. |
If energy `(E )` , velocity `(V)` and time `(T)` are chosen as the fundamental quantities , the dimensions formula of surface tension will beA. `[E^(-2)V^(-1)T^(-3)]`B. `[EV^(-2)T^(-1)]`C. `[EV^(-1)T^(-2)]`D. `[EV^(-2)T^(-2)]` |
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Answer» Correct Answer - D |
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| 222. |
The ratio of `SI` unit to `CGS` unti of gravitational constant ofA. `1:10^(3)`B. `10^(3):1`C. `1:1`D. `1:10^(7)` |
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Answer» Correct Answer - A `n prop (1)/(mu) rArr n_(1) u_(1) = n_(2) u_(2)` |
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| 223. |
Given that `y = a cos((t)/(P) - qx),` where t represents distance is metre. Which of the following statements is true ?A. The unit of t is same as that of qB. The unit of x is same as that of pC. The unit of x is same as that of qD. The unit of t is same as that of p |
| Answer» Correct Answer - 4 | |
| 224. |
Which of the two have same dimensionsA. Force and strainB. Force and stressC. Angular velocity and frequencyD. Energy and strain |
| Answer» Correct Answer - 3 | |
| 225. |
The surface tension of a liquid in `CGS` system is `45` dyne `cm^(-1)`. Its value in `SI` system isA. `4.5 Nm^(-1)`B. `0.045 Nm^(-1)`C. `0.0045 Nm^(-1)`D. `0.45 NM^(-1)` |
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Answer» Correct Answer - B `("Dyne")/(cm) = (10^(-5)N)/(10^(-2)m) = 10^(-3) (N)/(m)` |
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| 226. |
Imagine a system of units in which the unit of mass is 100 kg, length is 1 km and time is 1 minute Then 1 joule in this system is equal toA. 360B. 3.6C. `36xx10^5`D. `36xx10^(-6)` |
| Answer» Correct Answer - 4 | |
| 227. |
Specific heat is in joule per `kg` per `^(0)C` rise of temperature. Its demensions are:A. `[MLT^(-1) K^(-1)]`B. `[ML^(2) T^(2) K^(-1)]`C. `[M^(0) L^(2) T^(2) K^(-1)]`D. `[MLT^(2) K^(-1)]` |
| Answer» Correct Answer - C | |
| 228. |
In a practical unit if the unit of mass becomes double and that of unit of time becomes half, then 8 joule will be equal to _________ unit of work.A. 6B. 4C. 1D. 10 |
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Answer» Correct Answer - C |
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| 229. |
In the equation `((1)/(pbeta))=(y)/(k_(B)T)`, where `p` is the pressure, `y` is the distance, `k_(B)` is Boltzmann constant and `T` is the tempreture. Dimensions of `beta` are |
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Answer» `(1)/(p beta) = (y)/(k_(8) T)` Dimension of `[beta] = (["Dimensional formula of" k_(B)]["Dimensional formula of" T])/(["Dimensional formula of p"] ["Dimensional formula of y"])` `= ([ML^(2) T^(2) K^(-1)][K])/([ML^(-1) T^(-2)][L]) = [M^(0) L^(2) T^(0)]` `:.` Dimensions of `M,L,T` in `beta` are `0,2,0` |
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| 230. |
If the length of a cylinder is measured to be `4.28 cm` with an error of `0.01cm`, the percentage error in the mesured length is nearlyA. `0.4%`B. `0.5%`C. `0.2%`D. `0.1%` |
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Answer» Correct Answer - C `(Delta l)/(l) xx 100 = (0.01)/(4.28)xx100 = 0.2%` |
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| 231. |
If the length of a cylinder is measured to be `8.28cm` with an error of `0.01cm` then the percentage error in measured length is nearly.A. `0.4%`B. `0.2%`C. `0.1%`D. `0.5%` |
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Answer» Correct Answer - C `(Delta l)/(l) xx 100` |
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| 232. |
The radius pf a sphere is measured as `(10 +- 0.02%)cm`. The error int eh measurment of its volume isA. `25.1 cc`B. `25.12 cc`C. `2.51cc`D. `251.2cc` |
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Answer» Correct Answer - C `V = (4)/(3) pi r^(3) implies (Delta v)/(v) xx 100 = 3 (Delta r)/(r) xx 100` `Delta v = 3 xx (Delta r)/(r) xx v` |
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| 233. |
If the length and beradth of a plate are `(5.0 +- 0.2)cm` and `(4.0 +- 0.1)cm` the the absolue error in measurment of area is...A. `10cm^(2)`B. `11cm^(2)`C. `12cm^(2)`D. `1.3 cm^(2)` |
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Answer» Correct Answer - D `A = lb rArr (Delta A)/(A) = (Delta l)/(l) + (Deltab)/(b) rArr DeltaA = A [(Deltal)/(l) + (Delta b)/(b)]` |
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| 234. |
Dimensional formula of capacitance isA. `[M^(-1) L^(-2) T^(4) I^(2)]`B. `[M^(1) L^(-2) T^(4) I^(-2)]`C. `[M^(1) L^(2) T^(2)]`D. `[MLT^(-1)]` |
| Answer» Correct Answer - A | |
| 235. |
Dimensions of `C x R` (Capacity `x` Resistance) isA. frequencyB. energyC. time periodD. current |
| Answer» Correct Answer - C | |
| 236. |
The dimensional formula for magnetic Moment of a magnet isA. `[M^(0) L^(2) T^(0) A^(1)]`B. `[M^(0) L^(2) T^(0) A^(-1)]`C. `[M^(0) L^(-2) T^(0) A^(-1)]`D. `[M^(0) L^(-2) T^(0) A^(1)]` |
| Answer» Correct Answer - A | |
| 237. |
The dimensional formula for moment of couple isA. `[ML^(2)T^(-2)]`B. `[MLT^(-2)]`C. `[ML^(-1)T^(-3)]`D. `[ML^(-2)T^(-2)]` |
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Answer» Correct Answer - A |
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| 238. |
The number of significant figures in `0.10200` isA. `6`B. `5`C. `3`D. `2` |
| Answer» Correct Answer - B | |
| 239. |
When the number `0.046508` is reduced to `4` significant figures, then it becomesA. `0.465`B. `4.650.8xx10^(-5)`C. `4.651xx10^(-2)`D. `4.650xx10^(-2)` |
| Answer» Correct Answer - C | |
| 240. |
The value of `pi//53.2` with due regard to singificant figures is,A. `0.0591`B. `0.0590`C. `0.590`D. `0.5906` |
| Answer» Correct Answer - B | |
| 241. |
With due regard to significant figures, the value of `(46.7-10.04)` isA. `36.7`B. `36.00`C. `36.66`D. `30.6` |
| Answer» Correct Answer - A | |
| 242. |
The sum of the given two numbers with regard to significant figures isA. `4.55xx10^(-6)`B. `4.5xx10^(-6)`C. `4.6xx10^(-6)`D. `4xx10^(-6)` |
| Answer» Correct Answer - C | |
| 243. |
The diameter of a sphere is `3.34 m`. Calculate its volume with due regard to significant figures.A. `19.5169`B. `9.516`C. `19.5`D. `19.51` |
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Answer» Correct Answer - C `V = 4//3 pi R^(3)` |
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| 244. |
The value fo `(9.270)/(41)` with due regard to significant figures is.....A. `0.226`B. `0. 23`C. `0.2`D. `0.2261` |
| Answer» Correct Answer - B | |
| 245. |
The acceleration of an object vareis with time as `a = AT^(2) + BT + C` taking the unit of time as `1 sec` and acceleration as `ms^(-2)` then the units of `A,B,C` respectively are.........A. `ms^(-3),ms^(-2),ms^(-1)`B. `ms^(-2),ms^(-1),ms`C. `ms^(-1),ms^(-2),ms^(-3)`D. `ms^(-4),ms^(-3),ms^(-2)` |
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Answer» Correct Answer - D Principle of homogentity |
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| 246. |
The linear momentum p of a particle is given as a function of time t as `p=At^2+Bt+C`.The dimensions of constant B areA. `[ML^(-1)T^(-1)]`B. `[ML^(-1)T^(-2)]`C. `[MLT^(-2)]`D. `[MLT^(-1)]` |
| Answer» Correct Answer - 3 | |
| 247. |
The equation fo state of a gas is given by `(P+(a)/(V^(3)))(V-b^(2))=cT`, where P,V,T are pressure, volume and temperature respectively, and a,b,c are constants. The dimesions of a and b are respectivelyA. `[ML^(8)T^(-2)] and [L^(3//2)]`B. `[ML^(5)T^(-2)] and [L^(3)]`C. `[ML^(5)T^(-2)] and [L^(6)]`D. `[ML^(6)T^(-2)] and [L^(3//2)]` |
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Answer» Correct Answer - A Given `[P+(a)/(V^(3))](V-b^(2))=cT` Dimension of `(a)/(V^(3))`=dimension of `PV^(3)` `[a]=[(F)/(A)V^(3)]" "(becauseP=(F)/(A))` `=([MLT^(-2)])/([L^(2)])xx[L^(3)]^(3)=[ML^(8)T^(-2)]` Dimensions of `b^(2)`=dimensions of V `therefore[b]=[V]^(1//2)=[L^(3)]^(1//2)` or `[b]=[L^(3//2)]` |
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| 248. |
The decrease in percentage errorA. increases the accuracyB. does nto effect eh accuracyC. decreases the accuracyD. both 2 and 3 |
| Answer» Correct Answer - A | |
| 249. |
The meaure of accuracy isA. absoulte errorB. relative errorC. percentage errorD. both 2 and 3 |
| Answer» Correct Answer - D | |
| 250. |
The errors whch are estimated by statistical methods areA. systematic errorsB. random errorsC. theoretical errorsD. gross errors |
| Answer» Correct Answer - B | |