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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.
| 151. |
The dimensional formula for electric field isA. `["ML"^(2)"T"^(-3)"A"^(-1)]`B. `["ML"^(2)"T"^(-3)"A"^(-2)]`C. `["MLT"^(-3)"A"^(-1)]`D. `["M"^(0)"L"^(0)"T"^(0)"A"^(0)]` |
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Answer» Correct Answer - C The unit of electric fields `E` is `=("Newton")/("Coulomb")=("kg - metre sec"^(-2))/("ampere - sec") ="kg - metre sec"^(-3)"amp"^(-1)` `therefore" "` Dimensions of electric field are `["MLT"^(-3)"A"^(-1)]`. |
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| 152. |
Dimensional formula for electromotive force is same as that forA. potentialB. currentC. forceD. energy |
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Answer» Correct Answer - A |
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| 153. |
The dimensional formula for rate of doing work isA. `["ML"^(2)"T"^(-3)]`B. `["ML"^(-3)"T"^(2)]`C. `["M"^(2)"L"^(2)"T"^(2)]`D. `["MLT"^(-2)]` |
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Answer» Correct Answer - A From the defination, we khow that the rate of doing work is called power. So that, Dimension of rate of doing work = dimension of power `" "=["ML"^(2)"T"^(-3)]` |
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| 154. |
The length of a rectangular plate is measured by a meter scale and is found to be ` 10.0 cm`. Its width is measured by vernier callipers as `1.00 cm`. The least count of the meter scale and vernier calipers are `0.1 cm and 0.01 cm` respectively. Maximum permissibe error in area measurement is.A. `pm0.2 cm^(2)`B. `pm 0.1 c m^(2)`C. `pm 0.3 cm^(2)`D. zero |
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Answer» Correct Answer - A A=lb=10.0x 1.00=10.00 `(DeltaA)/A=(Deltal)/l+(DeltaB)/b` `(DeltaA)/10.00=0.1/10.0+0.01/1.00` `rArr DeltaA=10.00(1/100+1/100)=10.00(2/100)=pm0.2 cm^(2)` |
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| 155. |
`[ML^(2)T^(-3)A^(-1)]` is the dimensional formula forA. CapacitanceB. ResistanceC. ResistivityD. Potential difference |
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Answer» Correct Answer - D |
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| 156. |
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. `F^(2) AT`D. FAT |
| Answer» Correct Answer - A | |
| 157. |
Check whether the following relations are dimensionally correct : (a) `V = (pi pr^(4))/(8 eta l)` (b) `h = (2 s)/(rho rg)` (c ) `T = 2 pi sqrt((I)/(MB))` (d) `v = (E)/(B)` Where `V:` volume, `p:` pressure, `r:` radius, `eta:` coefficient of viscosity, `l:` length, `h:` height, `s:` surface tension, `rho:` density, `g:` acceleration due to gravity, `I:` moment of inertia, `M:` magnetic moment, `B:` magnetic field, `v:` speed and `E:` electric field. |
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Answer» A relation will be dimensionally correct if dimensiosn on both sides are same. (a) `LHS` dimesion : `[V] = L^(3)` `RHS` dimension : `(pi pr^(4))/(8 eta l) = (ML^(-1) T^(-2) L^(4))/(ML^(-1) T^(-1) L) = L^(3) T^(-1)` `LHS != RHS` not correct (b) `RHS` dimension : `(2 s)/(rho rg) = (MT^(-2))/(ML^(-3) LLT^(-2)) = L` `LHS` dimension : `h = L` `LHS = RHS`, correct (c ) `RHS` dimension : `2 pi sqrt((I)/(MB)) = [ (ML^(2))/((AL^(2)) (MT^(-2) A^(-1)))]^(1)/(2) = T` `LHS` dimension : `T` `LHS = RHS`, correct (d) `RHS` dimension : `(E)/(B) = (MLT^(-3))/(MT^(-2) A^(-1)) = LT^(-1)` `LHS` dimension : `v = LT^(-1)` `LHS = RHS`, correct |
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| 158. |
Inductance L can be dimensional represented asA. `ML^(2) T^(-2) A^(-2)`B. `ML^(2) T^(-4) A^(-3)`C. `ML^(-2) T^(-2) A^(-2)`D. `ML^(2) T^(4) A^(3)` |
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Answer» Correct Answer - A (1) `U = (1)/(2) Lt^(2)`, unit of `L : (j o u l e)/(amp^(2))` `[L] = (ML^(2) T^(-2))/(A^(2)) = ML^(2)T^(-2) A^(-2)` |
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| 159. |
A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?A. `MLT^(-3)` and `ML^(2) T^(-4)`B. `MLT^(-3)` and `MLT^(-4)`C. `MLT^(-1)` and `MLT^(0)`D. `MLT^(-4)` and `MLT^(1)` |
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Answer» Correct Answer - B (2) Dimensions of `F : MLT^(-2)` `at : MLT^(-2) implies [a] = MLT^(-3)` `bt^(2) : MLT^(-2) implies [b] = MLT^(-4)` |
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| 160. |
A dimensionless quantityA. never has a unitB. always has a unitC. may have a unitD. does not exist |
| Answer» Correct Answer - C | |
| 161. |
The physical quantity which has the dimensional formula `[M^(1)T^(–3)]` isA. Surface tensionB. Solar constantC. DensityD. Compressibility |
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Answer» Correct Answer - B |
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| 162. |
Suppose a quantilty x can be dimensionally represented in terms of M,L and T, that is `[x], M^aL^bT^c`. The quantity massA. can always be dimensionally represented in terms of `L, T` and `x`B. can never be dimensionally represented in terms of `L, T` and `x`C. may be represented in terms of `L, T` and `x` if `a = 0`D. may be represented in terms of `L, T` and `x` if `a != 0` |
| Answer» Correct Answer - D | |
| 163. |
The physical quantity which was the dimensional formula as that of `("energy")/("mass" xx "length")` isA. ForceB. PowerC. PressureD. Acceleration |
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Answer» Correct Answer - D |
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| 164. |
The heat generated in a circuit is dependent upon the resistance, current and time for which the current is flown. If the error in measuring the above are 1%, 2% and 1% respectively, then maximum error in measuring the heat isA. 0.08B. 0.06C. 0.18D. 0.12 |
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Answer» Correct Answer - B `H=i^(2)Rt` `therefore%` error in `H`=2(% error in `i`)+(% error in `R`)+(% error in `t`) |
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| 165. |
The dimensions of permittivity `epsilon_(0)` areA. `ML^(3) T^(-4) A^(2)`B. `M^(-1) L^(-3) T^(4) A^(2)`C. `ML^(3) T^(-4) A^(2)`D. `ML^(-3) T^(-4) A^(2)` |
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Answer» Correct Answer - B (2) `F = (1)/(4 pi epsilon_(0)) (q_(1) q_(2))/(r^(1)) implies epsilon_(0) = (q_(1) q_(2))/(4 pi F r^(2))` Unit of `epsilon_(0) : ((c o u l)^(2))/(N m^(2)) = ([AT]^(2))/([MLT^(-2)] [L]^(2))` ltbgt `[epsilon_(0)] = M^(-1) L^(-3) T^(4) A^(2)` |
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| 166. |
Which two of the following five physical parameter have the same dimensionA. (a) and (d)B. (a) and (e)C. (b) and (d)D. (c ) and (e) |
| Answer» Correct Answer - A | |
| 167. |
`ML^(3) T^(-1) Q^(-2)` is dimension ofA. ResistivityB. ConductivityC. ResistanceD. None of these |
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Answer» Correct Answer - A (1) `V = iR` `R = (V)/(i) : (j o u l e)/(c o u l . (c o u l//s))` `[R] = (ML^(2) T^(-2) T)/(Q^(2)) = ML^(2) T^(-1) Q^(-2)` Resistivity `R = (rho l)/(A)` `rho = (RA)/(l) = [R] [L] = ML^(3) T^(-1) Q^(-2)` |
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| 168. |
The dimension of `((1)/(2))epsilon_(0)E^(2)` (`epsilon_(0)` : permittivity of free space, E electric fieldA. `[MLT^(1)]`B. `[ML^(2) T^(2)]`C. `[ML^(-1) T^(-2)]`D. `[ML^(2) T^(-1)]` |
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Answer» Correct Answer - C (3) `(1)/(2) epsilon_(0) E^(2)` is `en ergy//volume` `(ML^(2) T^(-2))/(L^(3)) = [ML^(-1) T^(-2)]` |
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| 169. |
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. `5.0+-11%`B. `5.0+-1%`C. `5.0+-6%`D. `1.25+-5%` |
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Answer» Correct Answer - A |
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| 170. |
Dimensional formula of capacitance isA. `M^(-1)L^(-2)T^(4)A^(2)`B. `ML^(2)T^(4)A^(-2)`C. `MLT(-4)A^(2)`D. `M^(-1)L^(-2)T^(-4)A^(-2)` |
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Answer» Correct Answer - A |
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| 171. |
If `L and R` denote inductance and resistance , respectively , then the dimensions of `L//R` areA. `M^(0)L^(0)T^(-1)`B. `M^(0)LT^(0)`C. `M^(0)L^(0)T`D. Cannot be represented in terms of `M,L` and `T` |
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Answer» Correct Answer - C |
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| 172. |
If `L,C` and `R` denote the inductance, capacitance and resistance respectively, the dimensional formula for `C^(2)LR` isA. `[ML^(-2)T^(-1)I^(0)]`B. `[M^(0)L^(0)T^(3)I^(0)]`C. `[M^(-1)L^(-2)T^(6)I^(2)]`D. `[M^(0)L^(0)T^(2)I^(0)]` |
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Answer» Correct Answer - B |
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| 173. |
The dimensional formula of wave number isA. `M^(0)L^(0)T^(-1)`B. `M^(0)L^(-1)T^(0)`C. `M^(-1)L^(-1)T^(0)`D. `M^(0)L^(0)T^(0)` |
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Answer» Correct Answer - B |
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| 174. |
Newton`//"metre"^(2)` is the unit ofA. EnergyB. MomentumC. ForceD. Pressure |
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Answer» Correct Answer - D |
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| 175. |
In the context of accuracy of measurement and significant figures in expressing result of experiment, which of the following is /are correct (1) Out of the two measurements 50.14 cm and `0.00025` ampere, the first one has greater accuracy (2) If one travels 478 km by rail and 397 m by road,, the total distance travelled is 478 kmA. Only (1) is correctB. Only (2) is correctC. Both are correctD. None of them is correct |
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Answer» Correct Answer - C |
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| 176. |
What is the SI unit of permeabilityA. Henry per metreB. Tesla metre per ampereC. Weber per ampere metreD. All the above units are correct |
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Answer» Correct Answer - D |
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| 177. |
Light emitted by Krypton 86 is 6057.8021 Å. Calculate number of wavelengths of Krypton 86 in one metre. What is the order of magnitude ?A. 155316.13B. 1650763.73C. 652189.63D. 2348123.73 |
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Answer» Correct Answer - B |
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| 178. |
Assertion: Dimensional constant are the quantites whose value are constant. Reason: Dimensional constant are Dimensionless.A. If both assertion and reason are true and the reason is the correctexplanation of the assertion.B. If both assertion and reason are true but reason is not the correctexplanation of the assertion.C. If assertion is true but reason is false.D. If the assertion and reason both are false. |
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Answer» Correct Answer - C |
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| 179. |
Given that `v` is speed, r is the radius and `g` is the acceleration due to gravity. Which of the following is dimensionlessA. `v^(2)//rg`B. `v^(2)r//g`C. `v^(2)g//r`D. `v^(2)rg` |
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Answer» Correct Answer - A |
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| 180. |
Faraday is the unit ofA. ChargeB. emfC. MassD. Energy |
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Answer» Correct Answer - A |
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| 181. |
SI unit of permittivity isA. `C^(2)m^(2)N^(-1)`B. `C^(-1)m^(2)N^(-2)`C. `C^(2)m^(2)N^(2)`D. `C^(2)m^(-2)N^(-1)` |
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Answer» Correct Answer - D |
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| 182. |
A physical quantity `X `is give by the relation `X = (2h^(3)I^(2))/(2sqrt(n))` The percentage error in the meansurement of k ,I,m and n are `1% ,2%, 3%` and `4%` respectively The value of X is uncertain byA. 0.08B. 0.1C. 0.12D. None of these |
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Answer» Correct Answer - D A physical quantity `" "x=(2K^(3)l^(2))/(msqrt(n))` Percentage error in `x=(3xx1+2xx2+3xx1+2xx(1)/(2))=11%` |
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| 183. |
One yard in SI units is equalA. 1.9144 metreB. 0.9144 metreC. 0.09144 kilometreD. 1.0936 kilometre |
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Answer» Correct Answer - B |
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| 184. |
Assertion: When we change the unit of measurerment of a quantity its numerical value changes. Reason: Smaller the unit of measurement smaller is its numerical value.A. If both assertion and reason are true and the reason is the correctexplanation of the assertion.B. If both assertion and reason are true but reason is not the correctexplanation of the assertion.C. If assertion is true but reason is false.D. If the assertion and reason both are false. |
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Answer» Correct Answer - C |
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| 185. |
A thin copper wire of length `l` metre increases in length by `2%` when heated through `10^(@)C`. What is the percentage increase in area when a square copper sheet of length `l` metre is heated through `10^(@)C`A. 0.04B. 0.08C. 0.16D. None of these |
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Answer» Correct Answer - A |
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| 186. |
Assertion : Avogadro number is the number of atoms in onegram mole. Reason : Avogadro number is a dimensionless constant.A. If both assertion and reason are true and the reason is the correctexplanation of the assertion.B. If both assertion and reason are true but reason is not the correctexplanation of the assertion.C. If assertion is true but reason is false.D. If the assertion and reason both are false. |
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Answer» Correct Answer - C |
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| 187. |
In SI, Henry is the unit ofA. Self inductanceB. Mutual inductanceC. (a) and (b) bothD. None of the above |
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Answer» Correct Answer - C |
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| 188. |
Find the relative error in Z, if `Z =(A^(4)B^(1//3))/(CD^(3//2)` and the percentage error in the measurements of A,B,C and D are 4%,2%,3% and 1%, respectively. |
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Answer» `(DeltaZ)/(Z)=4((DeltaA)/(A))+(1)/(3)((DeltaB)/(B))+(DeltaC)/(C)+(3)/(2)((DeltaD)/(D))` Given that, `(DeltaA)/(A)xx100=4,` `(DeltaB)/(B)xx100=2,` `(DeltaC)/(C)xx100=3,` and `(DeltaD)/(D)xx100=1,` `(DeltaZ)/(Z)xx100=(4xx4)+((1)/(3)xx2)+3+((3)/(2)xx1)` `=16+(2)/(3)+3+(3)/(2)` 21.16% The percentage error in the measurement of Z is 21.16% Therefore, the relative error in Z is 0.2116. |
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| 189. |
Which of the following quantity is expressed as force per unit areaA. WorkB. PressureC. VolumeD. Area |
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Answer» Correct Answer - B |
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| 190. |
Volt/metre is the unit ofA. PotentialB. WorkC. ForceD. Electric intensity |
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Answer» Correct Answer - D |
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| 191. |
Which of the following is a derived unitA. Unit of massB. Unit of lengthC. Unit of timeD. Unit of volume |
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Answer» Correct Answer - D |
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| 192. |
Henry ohm canbe expressed inA. SecondB. CoulombC. MhoD. Metre |
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Answer» Correct Answer - A |
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| 193. |
A physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numberical value. If the result is expressed in various units thenA. `npropu^(2)`B. `npropu`C. `n prop sqrt(u)`D. `n prop 1/u` |
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Answer» Correct Answer - D |
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| 194. |
Elector volt is a unit ofA. ChargeB. Potential differenceC. MomentumD. Energy |
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Answer» Correct Answer - D |
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| 195. |
A suitable unit for gravitational constant isA. `kg-msec^(-1)`B. `Nm^(-1)sec`C. `Nm^(2)kg^(-2)`D. `kg msec^(-1)` |
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Answer» Correct Answer - C |
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| 196. |
A substance weight 5.74 g occupies a volume of `1.2cm^3.` Caluclate its density with due regard to significant digits. |
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Answer» Here, mass `(m)=5.74 g`, `volume(V)=1.2cm^(3)` As density. `rho=(mass)/(volume)=(5.74 g)/(1.2 cm^(3))=4.783 g cm^(3)` As mass has 3 significant digits and Volume has 2 significant digits therefore, as per rule, density will have only two significant digits, rounding off, we get `rho=4.8 cm^(-3)` |
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| 197. |
Assertion : Pressure has the dimensions of energy density. Reason : Energy density = `("energy")/("volume")=(["ML"^(2)"T"^(-2)])/(["L"^(3)])` `=["ML"^(-1)"T"^(-2)]="pressure"`A. If both Assertion and Reason are correct and Reason is the correct explaination of Assertion.B. If both Assertion and Reason are correct but Reason is not the correct explaination of Assertion.C. If Assertion is true but Reason is false.D. If Assertion is false but Reason is true. |
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Answer» Correct Answer - A Pressure and energy density have same dimensions, `mu`, `["M"^(1)"L"^(-1)"T"^(-2)]`. |
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| 198. |
Assertion : `sqrt(("Modulus of elasticity")/("Density")` has the unit `"ms"^(-1)`. Reason : Acceleration has the dimensions of `(1)/((sqrt(epsilon_(0)mu_(0)))t)`.A. If both Assertion and Reason are correct and Reason is the correct explaination of Assertion.B. If both Assertion and Reason are correct but Reason is not the correct explaination of Assertion.C. If Assertion is true but Reason is false.D. If Assertion is false but Reason is true. |
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Answer» Correct Answer - B `sqrt(("Modulus of Elasticity")/("Density"))=sqrt(("ML"^(-1)"T"^(-2))/("ML"^(-3)"T"^(0)))=m//s` |
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| 199. |
According to Newton, the viscous force acting between liquid layers of area A and velocity gradient `(Deltav)/(Deltaz)` is given by `F =- eta A (dv)/(dz)`, where `eta` is constant calledA. `[ML^(2)T^(-2)]`B. `[ML^(-1)T^(-1)]`C. `[ML^(-2)T^(-2)]`D. `[M^(0)L^(0)T^(0)]` |
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Answer» Correct Answer - B |
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| 200. |
Dimension of electric current isA. `[M^(0)L^(0)T^(-1)Q]`B. `[ML^(2)T^(-1)Q]`C. `[M^(2)LT^(-1)Q]`D. `[M^(2)L^(2)T^(-1)Q]` |
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Answer» Correct Answer - A |
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