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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.
| 101. |
A wire has a mass `(0.3+-0.003)g`, radius `(0.5+-0.005)mm` and length `(6+-0.06)cm`. The maximum percentage error in the measurement of its density is |
| Answer» Correct Answer - 4 | |
| 102. |
Which of the following is not represented in correct unitA. `"Stress"/"Strain"=N//m^2`B. Surface tension=N/mC. Energy= kg-m/sD. Pressure=`N//m^2` |
| Answer» Correct Answer - 3 | |
| 103. |
Newton - second is the unit ofA. VelocityB. Angular momentumC. MomentumD. Energy |
| Answer» Correct Answer - 3 | |
| 104. |
Let P represent radiation pressure, c represent speed of light and l represents radiation energy striking a unit area per second, then `P^(x//y)c^(z)` will be dimensionless forA. x = 0, y = zB. x = y = zC. x = z = -yD. x = y = -z |
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Answer» Correct Answer - C |
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| 105. |
The most precise reading of the mass of an object among the following isA. 20 gB. 20.0 gC. 20.01 gD. `20xx10^(0)g` |
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Answer» Correct Answer - C |
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| 106. |
The percentage error in measurement of a physical quantity [m given by `m=pi tan theta`] is minimum when (Assume that error in `theta` remain constant)A. `theta=45^@`B. `theta=90^@`C. `theta=60^@`D. `theta=30^@` |
| Answer» Correct Answer - 1 | |
| 107. |
The value of `60^@` in radian isA. `pi/2`B. `pi/3`C. `pi/4`D. `pi/5` |
| Answer» Correct Answer - 2 | |
| 108. |
Three of the quantites defined below have the same demsional formula. Identify them.A. `sqrt("Energy"//"mass")`B. `sqrt("pressure"//"density")`C. `sqrt("Force"//"linear density")`D. `sqrt("Angular frequency"//"radius")` |
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Answer» Correct Answer - A::B::C By following dimensional analysis |
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| 109. |
The `SI` unit of inductance, the henry can be written asA. `"weber"//"ampere"`B. `"volt secound"//"ampere"`C. `"joule"//("ampere")^(-2)`D. `"ohm"//"secound"` |
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Answer» Correct Answer - A::B Energy `= (1)/(2) Li^(2)` |
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| 110. |
Which one of the following physical quantities is not a fundamental quantity?A. Luminious intensityB. Thermodynamic temperatureC. Electric currentD. work |
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Answer» Correct Answer - D Amon the given physical quantities work is not a fundamental quantity wheres all other three physical quantities are fundamental quantities. |
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| 111. |
Which of the following is not the name of the physical quantity?A. TimeB. impulseC. massD. kilogram |
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Answer» Correct Answer - D The kilogram represents the unit of a physical quantity and not the physical quantity. |
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| 112. |
हम एक सरल लोलक कस दोलन - काल ज्ञात करते है । प्रयोग के क्रमिक मापनों में लिए गए पाठ्यांक हैं : 2.63 s, 2.56 s, 2.42 s, 2.71 s एवं 2.80 s । निरपेक्ष त्रुटि , सापेक्ष त्रुटि एवं प्रतिशत त्रुटि परिकलित कीजिए । |
| Answer» Correct Answer - `0.04 ,4%` | |
| 113. |
Two clocks are being tested against a standard clock located in a national laboratory .At 12:00:00 noon by the standard clock, the readings of the two clocks are `{:(,"Day 1","Day 2","Day 3","Day 4" , "Day 5"),("Clock 1",12:00:04,12:02:19,12:01:50,11:59:04,11:59:08),("Clock 2",11:15:24,11:15:01,11:14:59,11:15:00,11:14:58):}` Which of the two clocks will you prefer to measure the time intervals during an experiment ? |
| Answer» Zero error is not as significant as the variation in the time interval or Clock 2 | |
| 114. |
If the average human life span were of the order `10^4` s, what would the revolution period of earth on this scale be? |
| Answer» Correct Answer - `10^2` s | |
| 115. |
A drop of olive oil of radius 0.30 mm spreads into a nearly circular film of radius 12 cm on the water surface. Estimate the molecular size of olive Oil |
| Answer» Correct Answer - `2.5xx10^(-7)` cm | |
| 116. |
In an experiment to estimate the size of a molecule of oleic acid 1 mL of oleic acid is dissolved in 19 mL of alcohol. Then 1 mL of this solution is diluted to 20 mL by adding alcohol. Now, 1 drop of this diluted solution is placed on water in a shallow trough. The solution spreads over the surface of water forming one molecule thick layer. Now, lycopodium powder is sprinkled evenly over the film and its diameter is measured. Knowing the volume of the drop and area of the film we can calculate the thickness of the film which will give us the size of oleic acid molecule. Read the passage carefully and answer the following questions (a) Why do we dissolve oleic acid in alcohol ? (b) What is the role of lycopodium powder? (c) What would be the volume of oleic acid in each mL of solution prepared? (d) How will you calculate the volume of n drops of this solution of oleic acid ? (e) What will be the volume of oleic acid in one drop of this solution ? |
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Answer» (a) Oleic acid does not dissolve in water hence, it is dissolved in alcohol. (b) Lycopodium powder spreads over the entire surface of water when it is sprinkled evenly. When a drop of prepared solution is dropped on water, oleic acid does not dissolve in water. Instead it spreads on the water surface pushing the lycopodium powder away to clear a circular area where the drop falls. We can therefore, measure the area over which oleic acid spreads. (c) In each mL of solution prepared volume of oleic acid =`1/20mLxx1/20=1/400mL` (d) Volume of n drops of this solution of oleic acid can be calculated by means of a burette and measuring cylinder and measuring the number of drops. (e)If n drops of the solution make 1 mL, the volume of oleic acid in one drop will be `1/((400)n)mL.` |
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| 117. |
What is order of mass of a human? |
| Answer» Correct Answer - `10^2` kg | |
| 118. |
The dimensional formula for areal velocity isA. `[M^(0) L^(-2) T^(-1)]`B. `[M^(0) L^(-2) T^(1)]`C. `[M^(0) L^(2) T^(-1)]`D. `[M^(0) L^(2) T^(1)]` |
| Answer» Correct Answer - C | |
| 119. |
If two quantities have same dimensions, do they represent same physical content? |
| Answer» No. Angular velocity and frequency both have same dimension i.e. `[T^(-1)]` . But they respectively have units rad `s^(-1)` and `s^(-1)`. | |
| 120. |
A vernier calipers has `1mm `marks on the main scale. It has `20` equal divisions on the Verier scale which match with `16` main scale divisions. For this Vernier calipers, the least count isA. `0.2mm`B. `0.05mm`C. `0.1mm`D. `0.2mm` |
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Answer» Correct Answer - D `16 M.S.D = 20 V.S.D implies 1V.S.D = 4//5 M.S.D` `L.C = 1 M.S.D-1 V.S.D` |
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| 121. |
The measured mass and volume of a body are `53.63g` and `5.8 cm^(3)` respectively, with possible errors of `0.01g` and `0.1cm^(3)`. The maximum percentage error in density is aboutA. `0.2%`B. `2%`C. `5%`D. `10%` |
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Answer» Correct Answer - B Density `rho = (M)/(V), (Delta rho)/(rho) xx 100 = [(Delta M)/(M) + (Delta V)/(V)]100` |
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| 122. |
The `SI` unit of a physical quantity is `[J m^(-2)]`. The dimensinal formula for that quantity isA. `[M^(1) L^(-2)]`B. `[M^(1) L^(0) T^(-2)]`C. `[M^(1) L^(2) T^(-1)]`D. `[M^(1) L^(-1) T^(-2)]` |
| Answer» Correct Answer - B | |
| 123. |
`[J m^(-2)]` is the unit ofA. Surface tensionB. ViscosityC. Strain energyD. Intensity of energy |
| Answer» Correct Answer - A | |
| 124. |
The set of quantities which can form a group of fundamental quantities in any system of measurement isA. Length, mass and timeB. Length, mass and velocityC. Length, velocity and timeD. velocity, mass and time |
| Answer» Correct Answer - A | |
| 125. |
The fundamental unit which is common in `C.G.S` and `S.I` system isA. metreB. secondC. gramD. all the above |
| Answer» Correct Answer - B | |
| 126. |
`1` a.m.u is equal toA. `1.66xx10^(-24)g`B. `1.66xx10^(-27)g`C. `1.66xx10^(24)g`D. `1.66xx10^(27)g` |
| Answer» Correct Answer - A | |
| 127. |
The unit of "impulse per unit area" is same as that ofA. ViscosityB. Surface tensionC. Bulk modulusD. Force |
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Answer» Correct Answer - A |
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| 128. |
The following pair does not have same dimensionsA. Pressure, modulus of elasticityB. Angular velocity, velocity gradientC. Surface tension and force constantD. Impulse and torque |
| Answer» Correct Answer - D | |
| 129. |
A motor pumps water at the rate of `V m^(3)` per second, against a pressure `P Nm^(-2)`. The power fo the motor is watt isA. `PV`B. `(P//V)`C. `(V//P)`D. `(V-P)` |
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Answer» Correct Answer - A Power `alpha P^(a) V^(b)` |
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| 130. |
"Impulse per unit area" has same dimensions as that ofA. coefficient fo visosityB. surface tensionC. bulk modulusD. gravitational potential |
| Answer» Correct Answer - A | |
| 131. |
The radius `(r)`, length `(l)` and resistance `(x)` of a thin wire are `(0.2 +- 0.02)cm, (80 +- 0.1)cm`, and `(30 +- 1) Omega` respectively. The percentage error in the specific resistance isA. `23.4%`B. `25.4%`C. `26%`D. `27.5%` |
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Answer» Correct Answer - A Specific Resistance `rho = (pi r^(2) x)/(L)` Total `%` error is `[(2Delta r)/(r) + (Delta L)/(L) + (Delta x)/(x)] xx 100` |
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| 132. |
If `L = (20 +- 0.01) m` and `B = (10 +- 0.02)m` then `L//B` isA. `(2 +- 0.03)m`B. `(2 +- 0.15)m`C. `(2 +- 0.01)m`D. `(2 +- 0.05)m` |
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Answer» Correct Answer - D `(Delta x)/(x) xx (Delta L)/(L) + (Delta B)/(B) implies Deltax = x [(Delta L)/(L) + (Delta B)/(B)]` `= (20)/(10) [(0.01)/(20) + (0.02)/(10)]` `x +- Delta x = (2 +- 0.005)m` |
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| 133. |
If the absoulte errors in two physical quantites `A` and `B` are `a` and `b` respectively, then the absoulte error in the value of `A-B` isA. `a-b`B. `b-a`C. `a +- b`D. `a+b` |
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Answer» Correct Answer - D If `Z = A-B, Delta Z = Delta A + Delta B` (Max possible error) `DeltaZ = a+b` |
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| 134. |
The velocity v of a particle at time A is given by `v = at+ (b)/(l +c)` where a ,b and c are constant The dimensions of a,b and c are respectivelyA. `a = [L^(2)],b = [T], c = [LT^(2)]`B. `a = [LT^(2)],b = [LT], c = [L]`C. `a = [LT^(-2)],b = [L], c = [T]`D. `a = [L],b = [LT], c = [T^(2)]` |
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Answer» Correct Answer - C Use principle of homongenity |
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| 135. |
The final velocity fo a particles falling freelly under graavity is given by `V^(2) - U^(2) = 2GX` WHERE `x` is the distance covered. IF `V = 18` kmph. `g = 1000 cm s^(-2), x = 120 cm` then `u = ...ms^(-1)`A. `2.4`B. `1.2`C. `1`D. `0.1` |
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Answer» Correct Answer - C `v^(2) - u^(2) = 2gx` and change into `S.I` |
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| 136. |
The equaction which is dimensionally correct among the following isA. `v = u + at^(2)`B. `s = ut + at^(3)`C. `s = ut + at^(2)`D. `t = s + av` |
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Answer» Correct Answer - C Substitude `D.F` of quantities |
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| 137. |
The energy E of a particle varies with time t according to the equation `E=E_0sin(alphat).e^((-alphat)/(betax))`, where x is displacement from mean position `E_0` is energy at infinite position and `alpha` and `beta` are constants . Dimensional formula of `alpha` isA. `[M^0 L^0 T^(-1)]`B. `[M^(-1) L^0 T^0]`C. `[M^0 L^(-1) T^0]`D. `[M^0 L^0 T^0]` |
| Answer» Correct Answer - 1 | |
| 138. |
The energy E of a particle varies with time t according to the equation `E=E_0sin(alphat).e^((-alphat)/(betax))`, where x is displacement from mean position `E_0` is energy at infinite position and `alpha` and `beta` are constants . Dimensions of `beta` areA. `[M^(-1) L^0 T^0]`B. `[M^0 L^(-1) T^0]`C. `[M^0 L^0 T^(-1)]`D. `[M^0 L^0 T^0]` |
| Answer» Correct Answer - 2 | |
| 139. |
The energy E of a particle varies with time t according to the equation `E=E_0sin(alphat).e^((-alphat)/(betax))`, where x is displacement from mean position `E_0` is energy at infinite position and `alpha` and `beta` are constants . Dimensions of `sin((alphat)/(betax))` areA. `[M^(1) L^0 T^0]`B. `[M^0 L^(1) T^0]`C. `[M^0 L^0 T^0]`D. Invalid expression |
| Answer» Correct Answer - 3 | |
| 140. |
A cube has a side of length `1.2xx10^(-2)m`. Calculate its volumeA. `1.7xx10^(-6)m^(3)`B. `1.73xx10^(-6)m^(3)`C. `1.78xx10^(-6)m^(3)`D. `1.732xx10^(-6)m^(3)` |
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Answer» Correct Answer - A Here, Length of the cube, `L=1.2xx10^(-2)m` Volume of the cube, `V=(1.2xx10^(-2)m)^(3)=1.728xx10^(-6)m^(3)` As the result can have only two significant fiures, therefore, on rounding off, we get `V=1.7xx10^(-6)m^(3)` |
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| 141. |
The radius of a sphere is `1.41`. its volume to an appropring number of significant figure isA. `11.73cm^(3)`B. `11.736cm^(3)`C. `11.7cm^(3)`D. `117cm^(3)` |
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Answer» Correct Answer - C Radius of the sphere, `r=1.41cm` (3 significant figures) Volume of the sphere, `V=(4)/(3)pir^(3)=(4)/(3)xx3.14xx(1.41)^(3)cm^(3)=11.736cm^(3)` Rounded off upto 3 significant figures`=11.7cm^(3)`. |
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| 142. |
In the quastion number 71, what is the difference in the masses of the pieces?A. 0.02 gB. 0.021 gC. 0.022 gD. 0.024 g |
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Answer» Correct Answer - A Difference in masses `=m_(2)-m_(1)=20.17g-20.15g` `=0.02`g (correct upto two places of decimal) |
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| 143. |
The intensity of a wave is defined as the energy transmitted per unit area per secound. Which of the following represents the dimensional formula for the intensity of the wave?A. `[ML^(0)T^(-2)]`B. `[ML^(0) T^(-3)]`C. `[ML^(0) T^(-1)]`D. `[ML^(4)T]` |
| Answer» Correct Answer - B | |
| 144. |
The physical quantity having dimension 2 in length isA. PowerB. AccelerationC. Force constantD. Stress |
| Answer» Correct Answer - A | |
| 145. |
`h/(2pi)` is the dimension ofA. VelocityB. MomentumC. EnergyD. Angular momentum |
| Answer» Correct Answer - 4 | |
| 146. |
A packet contains silver powder of mass 20.23 g `pm` 0.01 g Some of the powder of mass 5.75 g `pm` 0.01 g is taken out from it The mass of the powder lell back isA. `14.48gpm0.00g`B. `14.48gpm0.02g`C. `14.5gpm0.1g`D. `14.5gpm0.2g` |
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Answer» Correct Answer - B |
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| 147. |
If `l_(1) = (10.0 pm 0.1)` cm and `l_(2) = (9.0 pm 0.1)` cm , find the their sum , difference and error in each . |
| Answer» Correct Answer - `10.0 cm pm 0.2 cm` | |
| 148. |
The breadth of a thin rectangular sheet is measured as 10.1 cm. The approximate error in the measurement isA. `pm1%`B. `pm0.5%`C. `pm0.1%`D. `pm5%` |
| Answer» Correct Answer - 1 | |
| 149. |
If the dimension of a physical quantity are given by `M^a L^b T^c,` then the physical quantity will beA. Pressure a = 1, b = 1,c = -2B. Velocity if a=1 , b=0 , c=-1C. Acceleration if a =1, b=1, c=-2D. Force if a =0 , b=-1, c=-2 |
| Answer» Correct Answer - 1 | |
| 150. |
The length of a rod is measured by four different instruments and the measurements are reported as A. 500.0 mm , B. 50.0 cm , C.0.500 m , D. `5.0xx10^(-4)` km We can conclude thatA. A is most accurate measurementB. C is most accurate measurementC. A, C and B are equally accurate measurementsD. The accuracy of all the measurements is the same |
| Answer» Correct Answer - 1 | |