248 + Interview Questions in UNITS IN GENERAL AWARENESS Page 3 InterviewSolution

101.	The refractive index (n) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48. Calculate (i) the mean value of refractive index, (ii) absolute error in each measurement, (iii) mean absolute error, (iv) fractional error and (v) percentage error
Answer» (i) Mean value of refractive index, `n_(m)=(1.49+1.50+1.52+1.54+1.48)/(5)` 1.505=1.51 (rounded off to two decimal places) (ii) Taking `n_(m)` as the true value, the absolute erros in different observations are, `Deltan_(1)=1.51-1.49=+0.02` `Deltan_(2)=1.51-1.50=+0.01` `Deltan_(3)=1.51-1.52=+0.01` `Deltan_(4)=1.51-1.54=+0.03` `Deltan_(5)=1.51-1.48=+0.03` 9ii) Mean absolute error, `Deltan_(mean)=(\|Deltan_(1)\|+\|Deltan_(2)\|+\|Deltan_(3)\|+\|Deltan_(4)\|+\|Deltan_(5)\|)/(5)` `=(0.02+0.01+0.01+0.03+0.03)/(5)=0.02` (iv) Fractional error= `(pmDeltan_(mean))/(n_(m))=(pm0.02)/(1.51)=pm0.0132` (v) percentage error=`(pm0.0132xx100)=pm1.32%`

Discussion

102.	The length and the radius of a cylinder measured with a slide cllipers re found to be 4.54 cm and 1.75 cm respectively. Calculate the volume of the cylinder.
Answer» Length of cylinder,h=4.54 cm (3 significant figures) Radius of cylinder, r=1.75 cm (3 significant figures) `therefore` Volume of cylinder=`pir^(2)h=3.14xx(1.75)^(2)xx4.54cm^(3)` `=43.657775 cm^(3)`=43.6 cm^(3)` (Rounded off upto 3 significant figures)

Discussion

103.	Which of the following is not equal to watt?A. joule/secondB. `amperexxvol t`C. `(ampere)^(2)xxohm`D. `ampere//vol t`
Answer» Correct Answer - D

Discussion

104.	The density of glass is `"2.8 gram"//"cc"` in CGS system. The value of density in SI unit isA. `2.8xx10^(-3)`B. `2.8xx10^(-2)`C. `2.8xx10^(2)`D. `2.8xx10^(6)`
Answer» Correct Answer - A Given density of glass in CGS system = 2.8 `"g"//"cc"` Value of density in SI system = 28 `"g"//"cm"^(3)` `" "(2.8xx10^(-3)"kg")/(10^(-6)"m"^(3)`

Discussion

105.	What is the order of magnitude of the distance of the sun from the earth in SI unit?
Answer» Distance of sun from the earth `=1 AU=1.496xx10^(11)m` Order of magnitude=11

Discussion

106.	The SI unit of temperature is :A. degress centigradeB. kelvinC. degree celsiusD. degress Fahrenheit
Answer» Correct Answer - B

Discussion

107.	The dimensions of surface tension areA. `[M^(2)L^(2)T^(2)]`B. `[M^(2)LT^(2)]`C. `[MT^(2)]`D. `[MLT^(2)]`
Answer» Correct Answer - C

Discussion

108.	The unit of the coefficient of viscosity in S.I. system isA. `m//kg-s`B. `m-s//kg^(2)`C. `kg//m-s^(2)`D. `kg//m-s`
Answer» Correct Answer - D

Discussion

109.	The dimensions of coefficient of thermal conductivity isA. `ML^(2)T^(-2)K^(-1)`B. `MLT^(-3)K^(-1)`C. `MLT^(-2)K^(-1)`D. `MLT^(-3)K`
Answer» Correct Answer - B

Discussion

110.	Dimensionasl formula `ML^(2)T^(-3)` representsA. ForceB. PowerC. EnergyD. Work
Answer» Correct Answer - B

Discussion

111.	Which one of the following represents the correct dimensions of the coefficient of viscosity?A. `ML^(2)T^(-2)`B. `ML^(2)T^(-1)`C. `ML^(-1)T^(-1)`D. `MLT`
Answer» Correct Answer - C

Discussion

112.	If `P` represents radiation pressure , `C` represents the speed of light , and `Q` represents radiation energy striking a unit area per second , then non - zero integers `x, y, z` such that `P^(x) Q^(y) C^(z)` is dimensionless , find the values of `x, y , and z`.A. `x=1,y=1,z=-1`B. `x=1,y=-1,z=1`C. `x=-1,y=1,z=1`D. x=1,y=1,z=1`
Answer» Correct Answer - B

Discussion

113.	The expression `[ML^(2)T^(-2)]` representsA. PressureB. Kinetic energyC. MomentumD. Power
Answer» Correct Answer - B

Discussion

114.	Unit of energy is SI system isA. ErgB. CalorieC. JouleD. Electron volt
Answer» Correct Answer - C

Discussion

115.	The unit of three physical quantities x, y and z are `g cm^(2) s^(-5)`, `gs^(-1)` and `cm s^(-2)` respectively. The relation between x, y and z isA. `x=yz^(2)`B. `x=y^(2)z`C. `y^(2)=xz`D. `z=x^(2)y`
Answer» Correct Answer - A Given, `x` = g `"cm"^(2)` `s^(-5)=["ML"^(2)"T"^(-5)]` `y="g "s^(-1)=["ML"^(0)"T"^(-1)]` `and" "z=cms^(-2)=["M"^(0)"LT"^(-2)]` Now, `" "z^(2)=["M"^(0)"L"^(2)"T"^(-4)]` and `" "yz^(2)=["ML"^(0)"T"^(-1)]["M"^(0)" L"^(2)"T"^(-4)]` `" "=["ML"^(2)"T"^(-5)]=x` i.e., `" "x=yz^(2)`

Discussion

116.	The unit of universal gas constant isA. `"watt"//"K"`B. `"dyne"//^(circ)"C"`C. `"erg"//"K"`D. `"newton"//^(circ)"R"`
Answer» Correct Answer - C Ideal gas law is given by `" "pV=RT` `therefore" "R=(pV)/(T)=("Unit of work")/("Unit of temperature")` `rArr" "R=("erg")/(K)`

Discussion

117.	Unit of emf isA. `"joule"//"ampere"`B. `"volt"//"ampere"`C. `("henry-ampere")/("second")`D. `"joule"//"coulomb"`
Answer» Correct Answer - C From the formula, `epsi=(LdI)/(dt)rArrepsi=("henry -ampere")/("second")`

Discussion

118.	Which of the following is not equal to watt?A. Joule/secondB. Ampere `xx` voltC. (Ampere) `xx` ohmD. Ampere/volt
Answer» Correct Answer - D

Discussion

119.	The magnitude of any physical quantityA. Depends on the method of measurementB. Does not depend on the method of measurementC. Is more in SI system than in CGS systemD. Directly proportional to the fundamental units of mass, lengthand time
Answer» Correct Answer - B

Discussion

120.	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)`
Answer» Correct Answer - A

Discussion

121.	Which of the following is not represented in correct unitA. `("Stress")/("Strain")=N//m^(2)`B. Surface tension `=N//m`C. Energy `=` kg-m/secD. Pressure `=N//m^(2)`
Answer» Correct Answer - C

Discussion

122.	Three measurements are made as 18.425 cm, 7.21 cm and 5.0 cm. The addition should be written asA. 30.635 cmB. 30.64 cmC. 30.63 cmD. 30.6 cm
Answer» Correct Answer - D

Discussion

123.	The length of a rod is `(11.05+-0.05)cm`. What is the length of two such rods?A. `(22.1pm0.05)` cmB. `(22.1pm0.1)` cmC. `(22.10pm0.05)` cmD. `(22.10pm0.2)` cm
Answer» Correct Answer - D

Discussion

124.	Three measurements are made as 18.425 cm, 7.21 cm and 5.00 cm. The addition should be written asA. 30.635 cmB. 30.64 cmC. 30.63 cmD. 30.6 cm
Answer» Correct Answer - D

Discussion

125.	A body travels uniformly a distance of `( 13.8 +- 0.2) m` in a time `(4.0 +- 0.3) s`. Find the velocity of the body within error limits and the percentage error.A. `(3.45+-0.2)ms`B. `(3.45+-0.3)ms`C. `(3.45+-0.4)ms`D. `(3.45+-0.5)ms`
Answer» Correct Answer - B

Discussion

126.	Match List-I with List-II and select the correct answer by using the codes given below the lists A. 5, 4, 2, 1B. 3, 2, 4, 1C. 5, 2, 4, 3D. 3, 4, 1, 2
Answer» Correct Answer - B

Discussion

127.	Match List-I with List-II and select the correct answer using thecodes given below the lists A. `I-A`, `II-F`, `III-E`, `IV-D`B. `I-C`, `II-F`, `III-A` ,`IV-B`C. `I-C`, `II-F`, `III-A`, `IV-E`D. `I-B`, `II-F`, `III-A`, `IV-C`
Answer» Correct Answer - B

Discussion

128.	Which relation is wrongA. `1 "Calorie"=4.18 "Joules"`B. `1Å=10^(-10)m`C. `1 MeV=1.6xx10^(-13)`JoulesD. `1 "Newton"=10^(-5)` Dynes
Answer» Correct Answer - D

Discussion

129.	The relation between force `F` and density `d` is `F=(x)/(sqrt(d))`. The dimension of `x` isA. `["L"^(-1//2)"M"^(3//2)"T"^(-2)]`B. `["L"^(-1//2)"M"^(1//2)"T"^(-2)]`C. `["L"^(-1)"M"^(3//2)"T"^(-2)]`D. `["L"^(-1)"M"^(1//2)"T"^(-2)]`
Answer» Correct Answer - A Subsituting dimensions, `["MLT"^(-2)]=(x)/(sqrt(["ML"^(-3)]))` `rArr" "x=["M"^(3//2)"L"^(-1//2)"T"^(-2)]`

Discussion

130.	Which of the following is dimensionally correctA. Pressure `=` Energy per unit areaB. Pressure `=` Energy per unit volumeC. Pressure `=` Force per unit volumeD. Pressure `=` Momentum per unit volume per unit time
Answer» Correct Answer - B

Discussion

131.	If the dimension of a physical quantity are given by `M^a L^b T^c,` then the physical quantity will beA. force, if `a=0, b=-1, c=-2`B. pressure if `a=1, b=-1 , c=-2`C. velocity if `a=1, b=0, c=-1`D. acceleration if `a=1, b=1, c=-2`
Answer» Correct Answer - B

Discussion

132.	If the energy ( E) ,velocity (v) and force (F) be taken as fundamental quantities,then the dimension of mass will beA. `["Fv"^(-2)]`B. `["Fv"^(-1)]`C. `["Ev"^(-2)]`D. `["Ev"^(2)]`
Answer» Correct Answer - C Energy = `(1)/(2)mv^(2)` `["m"]=(["E"])/(["v"^(2)])=["Ev"^(-2)]`

Discussion

133.	A student performs an experiment for determination of ` g [ = ( 4 pi^(2) L)/(T^(2)) ] , L ~~ 1m` , and he commits an error of `Delta L`. For `T` he takes the time of `n` oscillations with the stop watch of least count ` Delta T` . For which of the following data , the measurement of `g` will be most accurate ?A. `Delta l 5 mm` `Delta T 0.2 s` `n 10`B. `Delta l 5 mm` `Delta T 0.2 s` `n 20`C. `Delta l 5 mm` `Delta T 0.1 s` `n 20`D. `Delta l 1 mm` `Delta T 0.1 s` `n 50`
Answer» Correct Answer - D (4) `g = (4 pi^(2) l)/(T^(2))` `(Delta g)/(g) xx 100 = (Delta l)/(l) xx 100 + 2 (Delta T)/(T) xx 100` `Delta l ` and `Delta T` are minimum for option `(d)` and also maximum number of observations are taken in option `(d)` only.

Discussion

134.	If `P` represents radiation pressure , `C` represents the speed of light , and `Q` represents radiation energy striking a unit area per second , then non - zero integers `x, y, z` such that `P^(x) Q^(y) C^(z)` is dimensionless , find the values of `x, y , and z`.A. `x=1,y=1,z=-1`B. `x=1,y=-1,z=1`C. `x=-1,y=1,z=1`D. `x=1,y=1,z=1`
Answer» Correct Answer - B Since `p^(x)Q^(y)c^(z)` is dimensionless. Therfore, `["ML"^(-1)"T"^(-2)]^(x) ["MT"^(-3)]^(y)["LT"^(-1)]^(z)=["M"^(0)"L"^(0)"T"^(0)]` Only option (b) satisfies this expression. So, `" " x=1, y=-1, z=1`

Discussion

135.	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 x is same as that of qB. The unit of x is same as that of pC. The unit of t is ame as that of qD. The unit of t is ame as that of p
Answer» Correct Answer - D

Discussion

136.	Velocity `v` is given by `v=at^(2)+bt+c`, where `t` is time. What are the dimensions of `a, b and c` respectively?A. `["LT"^(-3)],["LT"^(-2)]and["LT"^(-1)]`B. `["LT"^(-1)],["LT"^(-2)]and["LT"^(-3)]`C. `["LT"^(-2)],["LT"^(-3)]and["LT"^(-1)]`D. `["LT"^(-1)],["LT"^(-3)]and["LT"^(-2)]`
Answer» Correct Answer - A Dimensions of velocity are `["V"]=["L"]["T"^(-1)]` So, deminsions of `["at"^(2)]=["LT"^(-1)]` `rArr" "["a"]["T"^(2)]=["LT"^(-1)]` `rArr" "["a"]=["LT"^(-3)]` Dimensions of `["bt"]=["LT"^(-1)]rArr["b"]["T"]=["LT"^(-1)]` `rArr" "["b"]=["LT"^(-2)]` Dimensions of `["c"]=["LT"^(-1)]`

Discussion

137.	The position of the particle moving along `Y`-axis is given as `y=At^(2)-Bt^(3)`, where `y` is measured in metre and `t` in second. Then, the dimensions of `B` areA. `["LT"^(-2)]`B. `["LT"^(-1)]`C. `["LT"^(-3)]`D. `["MLT"^(-2)]`
Answer» Correct Answer - C As, `y=B["T"^(3)]Rightarrow["L"]=B["T"^(3)]RightarrowB=["LT"^(-3)]`

Discussion

138.	A force F is given by F = `at+ bt^(2)` , where t is time. The dimensions of a and b areA. `["MLT"^(-3)]and["MLT"^(-4)]`B. `["MLT"^(-4)]and["MLT"^(-3]`C. `["MLT"^(-1)]and["MLT"^(-2)]`D. `["MLT"^(-2)]and["MLT"^(0)]`
Answer» Correct Answer - A

Discussion

139.	In a system of units, the units of mass, length and time are 1 quintal, 1 km and 1h, respectively. In this system 1 N force will be equal toA. 1 new unitB. 129.6 new unitC. 427.6 new unitD. 60 new unit
Answer» Correct Answer - B `["Force"]=["MLT"^(-2)]` `therefore" "1"N"=((1)/(100))((1)/(1000))(3600)^(2)=129.6" units"`.

Discussion

140.	The wrong units conversion among the following isA. 1 angstorm = `10^(-10)` mB. 1 fermi = `10^(-15)` mC. 1 light year = 9.46`xx` `10^(15)` mD. 1 astronomical unit = 1.496 `xx` `10^(-11)` m
Answer» Correct Answer - D Option (d) is wrong because 1 astronomical unit `" "=1.5xx10^(11)` m

Discussion

141.	The dimensional formula of magnetic flux density is :A. `["ML"^(2)"T"^(-2)"A"^(-1)]`B. `["ML"^(2)"T"^(-3)"A"^(-1)]`C. `["M"^(-1)"L"^(-2)"T"^(2)"A"]`D. `["ML"^(3)"T"^(-2)"A"^(-1)]`
Answer» Correct Answer - A Dimensions of `phi_(B)` = Unit of B `xx` Unit of `A` `" "=("newton")/("ameper - metre")xx"metre"^(2)` `" "=("newton"xx"metre")/("ameper")` `" "("kg ""ms"^(-2)xx"m")/(A)="kgm"^(2)s^(-2)A^(-1)=["ML"^(2)"T"^(-2)"A"^(-1)]`

Discussion

142.	The dimensional formula for magnetic flux isA. `["ML"^(2)"T"^(-2)"A"^(-1)]`B. `["ML"^(3)"T"^(-2)"A"^(-2)]`C. `["M"^(0)"L"^(-2)"T"^(-2)"A"^(-2)]`D. `["ML"^(2)"T"^(-1)"A"^(2)]`
Answer» Correct Answer - A `[phi]=[BS]=["MT"^(-2)"A"^(-1)]["L"^(2)]=["ML"^(2)"T"^(-2)"A"^(-1)]`

Discussion

143.	A dimensionless quantityA. never has a unitB. always has a unitC. may have a unitD. does not exit
Answer» Correct Answer - C Angle is dimensions but has but has unit (radian or degree)

Discussion

144.	Which of the following pairs have the same units?A. Wavelength and Rydberg constantB. Relative velocity and relative densityC. Thermal capacity and Boltzmann constantD. Time period and acceleration gradient
Answer» Correct Answer - B

Discussion

145.	The dimensional formula of electric flux isA. `["ML"^(3)"I"^(-1)"T"^(-3)]`B. `["M"^(2)"L"^(2)"I"^(-1)"T"^(-2)]`C. `["ML"^(3)"I"^(1)"T"^(-3)]`D. `["ML"^(-3)"I"^(-1)"T"^(-3)]`
Answer» Correct Answer - A As electric flux is given by `phi_(E)=Eds=(F)/(q)ds` `therefore` Dimensions of `phi=[("MLT"^(-2))/("IT")]["L"^(2)]=["ML"^(3)"I"^(-1)"T"^(-2)]`

Discussion

146.	A watt isA. `kg m//s^(2)`B. `kg m^(2)//s^(3)`C. `kg m//s`D. `kg m^(2)//s^(2)`
Answer» Correct Answer - B Watt `= (J)/(sec)= (N-m)/("sec")=kg.(m^(2))/(sec^(3))`

Discussion

147.	Dimensional formula for latent heat is________A. `[M^(0)L^(2)T^(-2)]`B. `[ML^(2)T^(-2)]`C. `[MLT^(-2)]`D. `[ML^(2)T^(-1)]`
Answer» Correct Answer - A So dimesion of latent heat is `= ("energy")/("mass")`

Discussion

148.	A unit less qunatityA. never has a nonzero dimensionB. always has nonzero dimensionC. may have a nonzero dimensionD. does not exit
Answer» Correct Answer - A it is obvious.

Discussion

149.	If we use permitivity `epsilon`, resistance `R`, gravitational constant `G` and voltage `V` as fundamental physical quantities, then:A. [angular displacement]=`epsilon^(1)R^(0)G^(0)V^(0)`B. [velocity]`=epsilon^(-1)R^(-1)G^(0)V^(0)`C. [dipole moment] =`epsilon^(1)R^(0)G^(0)V^(1)`D. [force]=`epsilon^(2)F^(0)G^(0)V^(2)`
Answer» Correct Answer - B `epsilon=(I^(2)T^(4))/(ML^(3)),R=(ML^(2))/(I^(2)T^(3)), G=(L^(3))/(MT^(2)),V=(ML^(2))/(IT^(3))` `theta=M^(0)L^(0)T^(0)`, velocity `(L)/(T)`, force `(ML)/(T^(2))`, dipole moment =LIT

Discussion

150.	What is the dimensional formula of gravitational constant ?A. `[ML^(2)T^(2)]`B. `[ML^(-1)T^(-1)]`C. `[M^(-1)L^(3)T^(-2)]`D. None of these
Answer» Correct Answer - C

Discussion

Explore topic-wise InterviewSolutions in .

The refractive index (n) of glass is found to have the values 1.49,1.50,1.52,1.54 and 1.48. Calculate (i) the mean value of refractive index, (ii) absolute error in each measurement, (iii) mean absolute error, (iv) fractional error and (v) percentage error

The length and the radius of a cylinder measured with a slide cllipers re found to be 4.54 cm and 1.75 cm respectively. Calculate the volume of the cylinder.

Which of the following is not equal to watt?A. joule/secondB. `amperexxvol t`C. `(ampere)^(2)xxohm`D. `ampere//vol t`

The density of glass is `"2.8 gram"//"cc"` in CGS system. The value of density in SI unit isA. `2.8xx10^(-3)`B. `2.8xx10^(-2)`C. `2.8xx10^(2)`D. `2.8xx10^(6)`

What is the order of magnitude of the distance of the sun from the earth in SI unit?

The SI unit of temperature is :A. degress centigradeB. kelvinC. degree celsiusD. degress Fahrenheit

The dimensions of surface tension areA. `[M^(2)L^(2)T^(2)]`B. `[M^(2)LT^(2)]`C. `[MT^(2)]`D. `[MLT^(2)]`

The unit of the coefficient of viscosity in S.I. system isA. `m//kg-s`B. `m-s//kg^(2)`C. `kg//m-s^(2)`D. `kg//m-s`

The dimensions of coefficient of thermal conductivity isA. `ML^(2)T^(-2)K^(-1)`B. `MLT^(-3)K^(-1)`C. `MLT^(-2)K^(-1)`D. `MLT^(-3)K`

Dimensionasl formula `ML^(2)T^(-3)` representsA. ForceB. PowerC. EnergyD. Work

Which one of the following represents the correct dimensions of the coefficient of viscosity?A. `ML^(2)T^(-2)`B. `ML^(2)T^(-1)`C. `ML^(-1)T^(-1)`D. `MLT`

The expression `[ML^(2)T^(-2)]` representsA. PressureB. Kinetic energyC. MomentumD. Power

Unit of energy is SI system isA. ErgB. CalorieC. JouleD. Electron volt

The unit of three physical quantities x, y and z are `g cm^(2) s^(-5)`, `gs^(-1)` and `cm s^(-2)` respectively. The relation between x, y and z isA. `x=yz^(2)`B. `x=y^(2)z`C. `y^(2)=xz`D. `z=x^(2)y`

The unit of universal gas constant isA. `"watt"//"K"`B. `"dyne"//^(circ)"C"`C. `"erg"//"K"`D. `"newton"//^(circ)"R"`

Unit of emf isA. `"joule"//"ampere"`B. `"volt"//"ampere"`C. `("henry-ampere")/("second")`D. `"joule"//"coulomb"`

Which of the following is not equal to watt?A. Joule/secondB. Ampere `xx` voltC. (Ampere) `xx` ohmD. Ampere/volt

The magnitude of any physical quantityA. Depends on the method of measurementB. Does not depend on the method of measurementC. Is more in SI system than in CGS systemD. Directly proportional to the fundamental units of mass, lengthand time

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)`

Which of the following is not represented in correct unitA. `("Stress")/("Strain")=N//m^(2)`B. Surface tension `=N//m`C. Energy `=` kg-m/secD. Pressure `=N//m^(2)`

Three measurements are made as 18.425 cm, 7.21 cm and 5.0 cm. The addition should be written asA. 30.635 cmB. 30.64 cmC. 30.63 cmD. 30.6 cm

The length of a rod is `(11.05+-0.05)cm`. What is the length of two such rods?A. `(22.1pm0.05)` cmB. `(22.1pm0.1)` cmC. `(22.10pm0.05)` cmD. `(22.10pm0.2)` cm

Three measurements are made as 18.425 cm, 7.21 cm and 5.00 cm. The addition should be written asA. 30.635 cmB. 30.64 cmC. 30.63 cmD. 30.6 cm

A body travels uniformly a distance of `( 13.8 +- 0.2) m` in a time `(4.0 +- 0.3) s`. Find the velocity of the body within error limits and the percentage error.A. `(3.45+-0.2)ms`B. `(3.45+-0.3)ms`C. `(3.45+-0.4)ms`D. `(3.45+-0.5)ms`

Match List-I with List-II and select the correct answer by using the codes given below the lists A. 5, 4, 2, 1B. 3, 2, 4, 1C. 5, 2, 4, 3D. 3, 4, 1, 2

Match List-I with List-II and select the correct answer using thecodes given below the lists A. `I-A`, `II-F`, `III-E`, `IV-D`B. `I-C`, `II-F`, `III-A` ,`IV-B`C. `I-C`, `II-F`, `III-A`, `IV-E`D. `I-B`, `II-F`, `III-A`, `IV-C`

Which relation is wrongA. `1 "Calorie"=4.18 "Joules"`B. `1Å=10^(-10)m`C. `1 MeV=1.6xx10^(-13)`JoulesD. `1 "Newton"=10^(-5)` Dynes

The relation between force `F` and density `d` is `F=(x)/(sqrt(d))`. The dimension of `x` isA. `["L"^(-1//2)"M"^(3//2)"T"^(-2)]`B. `["L"^(-1//2)"M"^(1//2)"T"^(-2)]`C. `["L"^(-1)"M"^(3//2)"T"^(-2)]`D. `["L"^(-1)"M"^(1//2)"T"^(-2)]`

Which of the following is dimensionally correctA. Pressure `=` Energy per unit areaB. Pressure `=` Energy per unit volumeC. Pressure `=` Force per unit volumeD. Pressure `=` Momentum per unit volume per unit time

If the dimension of a physical quantity are given by `M^a L^b T^c,` then the physical quantity will beA. force, if `a=0, b=-1, c=-2`B. pressure if `a=1, b=-1 , c=-2`C. velocity if `a=1, b=0, c=-1`D. acceleration if `a=1, b=1, c=-2`

If the energy ( E) ,velocity (v) and force (F) be taken as fundamental quantities,then the dimension of mass will beA. `["Fv"^(-2)]`B. `["Fv"^(-1)]`C. `["Ev"^(-2)]`D. `["Ev"^(2)]`

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 x is same as that of qB. The unit of x is same as that of pC. The unit of t is ame as that of qD. The unit of t is ame as that of p

Velocity `v` is given by `v=at^(2)+bt+c`, where `t` is time. What are the dimensions of `a, b and c` respectively?A. `["LT"^(-3)],["LT"^(-2)]and["LT"^(-1)]`B. `["LT"^(-1)],["LT"^(-2)]and["LT"^(-3)]`C. `["LT"^(-2)],["LT"^(-3)]and["LT"^(-1)]`D. `["LT"^(-1)],["LT"^(-3)]and["LT"^(-2)]`

The position of the particle moving along `Y`-axis is given as `y=At^(2)-Bt^(3)`, where `y` is measured in metre and `t` in second. Then, the dimensions of `B` areA. `["LT"^(-2)]`B. `["LT"^(-1)]`C. `["LT"^(-3)]`D. `["MLT"^(-2)]`

A force F is given by F = `at+ bt^(2)` , where t is time. The dimensions of a and b areA. `["MLT"^(-3)]and["MLT"^(-4)]`B. `["MLT"^(-4)]and["MLT"^(-3]`C. `["MLT"^(-1)]and["MLT"^(-2)]`D. `["MLT"^(-2)]and["MLT"^(0)]`

In a system of units, the units of mass, length and time are 1 quintal, 1 km and 1h, respectively. In this system 1 N force will be equal toA. 1 new unitB. 129.6 new unitC. 427.6 new unitD. 60 new unit

The wrong units conversion among the following isA. 1 angstorm = `10^(-10)` mB. 1 fermi = `10^(-15)` mC. 1 light year = 9.46`xx` `10^(15)` mD. 1 astronomical unit = 1.496 `xx` `10^(-11)` m

The dimensional formula of magnetic flux density is :A. `["ML"^(2)"T"^(-2)"A"^(-1)]`B. `["ML"^(2)"T"^(-3)"A"^(-1)]`C. `["M"^(-1)"L"^(-2)"T"^(2)"A"]`D. `["ML"^(3)"T"^(-2)"A"^(-1)]`

The dimensional formula for magnetic flux isA. `["ML"^(2)"T"^(-2)"A"^(-1)]`B. `["ML"^(3)"T"^(-2)"A"^(-2)]`C. `["M"^(0)"L"^(-2)"T"^(-2)"A"^(-2)]`D. `["ML"^(2)"T"^(-1)"A"^(2)]`

A dimensionless quantityA. never has a unitB. always has a unitC. may have a unitD. does not exit

Which of the following pairs have the same units?A. Wavelength and Rydberg constantB. Relative velocity and relative densityC. Thermal capacity and Boltzmann constantD. Time period and acceleration gradient

The dimensional formula of electric flux isA. `["ML"^(3)"I"^(-1)"T"^(-3)]`B. `["M"^(2)"L"^(2)"I"^(-1)"T"^(-2)]`C. `["ML"^(3)"I"^(1)"T"^(-3)]`D. `["ML"^(-3)"I"^(-1)"T"^(-3)]`

A watt isA. `kg m//s^(2)`B. `kg m^(2)//s^(3)`C. `kg m//s`D. `kg m^(2)//s^(2)`

Dimensional formula for latent heat is________A. `[M^(0)L^(2)T^(-2)]`B. `[ML^(2)T^(-2)]`C. `[MLT^(-2)]`D. `[ML^(2)T^(-1)]`

A unit less qunatityA. never has a nonzero dimensionB. always has nonzero dimensionC. may have a nonzero dimensionD. does not exit

What is the dimensional formula of gravitational constant ?A. `[ML^(2)T^(2)]`B. `[ML^(-1)T^(-1)]`C. `[M^(-1)L^(3)T^(-2)]`D. None of these