248 + Interview Questions in UNITS IN GENERAL AWARENESS Page 2 InterviewSolution

51.	Position of a body with acceleration `a` is given by `x=Ka^mt^n`, here t is time Find demension of m and n.A. `m=1, n=1`B. `m=1, n=2`C. `m=2, n=1`D. `m=2, n=2`
Answer» Correct Answer - B

Discussion

52.	Which physical quantities have the same dimensionA. Couple of force and workB. Force and powerC. Latent heat and specific heatD. Work and power
Answer» Correct Answer - A

Discussion

53.	The frequency of vibration of string is given by `v = (p)/(2 l) [(F)/(m)]^(1//2)`. Here `p` is number of segment is the string and `l` is the length. The dimension formula for `m` will beA. `[M^(0) LT^(-1)]`B. `[M L^(0) T^(-1)]`C. `[ML^(-1) T^(0)]`D. `[M^(0) L^(0) T^(0)]`
Answer» Correct Answer - C

Discussion

54.	The equation of a state of a real gas is given by `(P + (a)/(V^(2))) (V - b) = RT`, where `T` is absolute temperature, `P` is pressure, `V` is volume and `R` is universal gas constant. What are the dimensions of constant `a` and `b` ?
Answer» The terms in addition or subtraction have same `unit//dimension`. Dimension of `(a)/(V^(2))`= dimensions of `P` `(a)/([L^(6)]) = [ML^(-1) T^(-2)]` Dimensions of `a = [ML^(5) T^(-2)]` Dimensions of b = dimensions of `V` Dimension of `b = [L^(3)]`

Discussion

55.	Find the value of a and b in the following cases : (a) The velocity `v` of the ball falling freely under gravity is proportional to `g^(a) h^(b)`, where `g` is the acceleration due to gravity, `h` is the height from which the ball is dropped. (b) The kinetic energy `K` of a rotating body is proportional to `I^(a) omega^(b)` where `I` is the moment if inertia and `omega` is the angular speed. (c ) The time-period `T` of spring pendulum is proportiona to `m^(a) k^(b)`, where `m` is the mass of block attached to the spring and `k` is the spring constant. The speed of sound `v` in a gaseous medium is proportional to `P^(a) rho^(b)`, where `P` is the pressure and `rho` is the density of medium.
Answer» (a) `v prop g^(a) h^(b)` `[LT^(-1)] prop [LT^(-2)]^(a) [L]^(b)` `L^(1) T^(-1) prop L(a + b) T^(-2a)` Comparing powers of `L` and `T` `a + b = 1` `-2 a = - 1` `a = (1)/(2), b = (1)/(2)` `K prop I^(a) omega^(b)` `[ML^(2) T^(-2)] prop [ML^(2)]^(a) [T^(-1)]^(b)` `M^(1) L^(2) T^(-2) prop M^(a) L^(2a) T^(-b)` Comparing powers of `M` and `T` `a = 1` `-b = - 2` `a = 1, b= 2` (c ) `T prop m^(a) k^(b)` `[T] prop [M]^(a) [MT^(-2)]^(b)` `M^(0) T^(-1) prop M^(a + b) T^(-2b)` Comparing power of `M` and `T` `a + b = 0` `-2 b = 1` `a = (1)/(2), b = - (1)/(2)` (d) `v prop P^(a) rho^(b)` `[LT^(-1)] prop [ML^(-1) T^(-2)]^(a) [ML^(-3)]^(b)` `M^(0) L^(1) T^(-1) prop M^(a + b) L^(-a - 3b) T^(-2a)` Comparing powers of `M` and `T` `a + b = 0` `- 2a = - 1` `a = (1)/(2), b = - (1)/(2)`

Discussion

56.	If energy `(E )` , velocity `(V)` and time `(T)` are chosen as the fundamental quantities , the dimensions formula of surface tension will beA. `["Ev"^(-2)"T"^(-1)]`B. `["Ev"^(-1)"T"^(-2)]`C. `["Ev"^(-2)"T"^(-2)]`D. `["E"^(-2)"v"^(-1)"T"^(-3)]`
Answer» Correct Answer - C we know that surface tension `(S)=("Force"["F"])/("Length"["L"])` So, `" "["S"]=(["MLT"^(-2)])/(["L"])=["ML"^(0)"T"^(-2)]` Energy `(E)` = Force`xx`displacement `rArr["E"]=["ML"^(2)"T"^(-2)]` Velocity `(v)` = `("displacement")/("time")rArr["v"]["LT"^(-1)]` As, `" "SpropE^(a)v^(b)T^(c)` where, a, b, c are constants. From the principle of homogeneity, `" "["LHS"]=["RHS"]" "` `rArr["ML"^(0)"T"^(-2)]=["ML"^(2)"T"^(-2)]^(a)["LT"^(-1)]^(b)["T"]^(c)` `rArr["ML"^(0)"T"^(-2)]=["M"^(a)"L"^(2a+b)"T"^(-2a-b+c)]` Equating the power on both sides, we get a=1, 2a+b=0, b=-2 `rArr" "-2a-b+c=-2` `rArr" "c=(2a+b)-2=0-2=-2` So, `" "["S"]=["Ev"^(-2)"T"^(-2)]=["Ev"^(-2)"T"^(-2)]`

Discussion

57.	The dimensions of coefficient of thermal conductivity isA. `ML^(2) T^(-1) K^(-1)`B. `MLT^(-3) K^(-1)`C. `MLT^(-2) K^(-1)`D. `MLT^(-3) K`
Answer» Correct Answer - B (2) `(Delta Q)/(Delta t) = (K (theta_(2) - theta_(1)) A)/(L), K :` thermal conductivity `K = (Delta Q)/(Delta t) (L)/((theta_(2) - theta_(2)) A)` Unit : `(j o u l e . M)/(s. k e l vi n . M^(2)) = (j o u l e)/(s. k e l vi n. m)` `[K] = (ML^(2) T^(-2))/(T. K.L) = [MLT^(-3) k^(-1)]`

Discussion

58.	The frequency of vibration of string is given by `v=p/(2l)[F/m]^(1//2)`. Here `p` is number of segments in the string and `l` is the length. The dimensional formula for `m` will beA. `["M"^(0)"LT"^(-1)]`B. `["ML"^(0)"T"^(-1)]`C. `["ML"^(-1)"T"^(0)]`D. `["M"^(0)"L"^(0)"T"^(0)]`
Answer» Correct Answer - C `m` is mass per unit length.

Discussion

59.	The equation of a wave is given by `Y = A sin omega ((x)/(v) - k)`, where `omega` is the angular velocity and `v` is the linear velocity. Find the dimension of `k`.A. `LT`B. `T`C. `T^(-1)`D. `T^(2)`
Answer» Correct Answer - B

Discussion

60.	The unit of e.m.f isA. JouleB. Joule-CoulombC. Volt-CoulombD. Joule/Coulomb
Answer» Correct Answer - D

Discussion

61.	Which of the following is not the unit of timeA. Micro secondB. Leap yearC. Solar dayD. Parallactic second
Answer» Correct Answer - D

Discussion

62.	Dimensions of potential energy areA. `MLT^(-1)`B. `ML^(2)T^(-2)`C. `ML^(-1)T^(-2)`D. `ML^(-1)T^(-1)`
Answer» Correct Answer - B

Discussion

63.	Assertion : Light year and year, both measure time. Reason : Because light year is the time light takes to reach the earth from the sun.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.
Answer» Correct Answer - D

Discussion

64.	Light year is a unit ofA. TimeB. MassC. DistanceD. Energy
Answer» Correct Answer - C

Discussion

65.	Length cannot be measured byA. FermiB. DebyeC. MicronD. Light year
Answer» Correct Answer - B

Discussion

66.	If the unit of length and force be increased four times, then the unitof energy isA. Increased 4 timesB. Increased 8 timesC. Increased 16 timesD. Decreased 16 times
Answer» Correct Answer - C

Discussion

67.	The nuclear cross-section is measured in barn, it is equal toA. `10^(-20)m^(2)`B. `10^(-30)m^(2)`C. `10^(-28)m^(2)`D. `10^(-14)m^(2)`
Answer» Correct Answer - C

Discussion

68.	Which is the correct unit for measuring nuclear radiiA. MicronB. MillimetreC. AngstromD. Fermi
Answer» Correct Answer - D

Discussion

69.	In which of the following systems of unit, Weber is the unit ofmagnetic fluxA. CGSB. MKSC. SID. None of these
Answer» Correct Answer - C

Discussion

70.	Tesla is a unit for measuringA. Magnetic momentB. Magnetic inductionC. Magnetic intensityD. Magnetic pole strength
Answer» Correct Answer - B::C

Discussion

71.	SI unit of pressure isA. PascalB. Dynes`//cm^(2)`C. cm of HgD. Atmosphere
Answer» Correct Answer - A

Discussion

72.	The unit of angular acceleration in the SI system isA. `Nkg^(-1)`B. `ms^(-2)`C. `rads^(-2)`D. `m kg^(-1)K`
Answer» Correct Answer - C

Discussion

73.	Which of the following is not a unit of energyA. `W-s`B. `kg-m//sec`C. `N-m`D. Joule
Answer» Correct Answer - B

Discussion

74.	The dimensional formula fo resistivity in terms of `M,L,T` and `Q` where `Q` stands for the dimensions of charge isA. `ML^(3)T^(-1)Q^(-2)`B. `ML^(3)T^(-2)Q^(-1)`C. `ML^(2)T^(-1)Q^(-1)`D. `MLT^(-1)Q^(-1)`
Answer» Correct Answer - A

Discussion

75.	The dimensional formula fo resistivity in terms of `M,L,T` and `Q` where `Q` stands for the dimensions of charge isA. `[ML^(3)T^(-1)Q^(-2)]`B. `[ML^(2)T^(-2)Q^(2)]`C. `[MLT^(-2)Q^(-2)]`D. `[ML^(2)T^(-2)Q^(-1)]`
Answer» Correct Answer - A Since, `R=(rhol)/(A)` , where `rho` is specific resistance. `therefore" "[rho]=[(RA)/(l)],R=(V)/(i),V=(W)/(Q)` `" "[rho]=["ML"^(3)"T"^(-1)theta^(-2)]`

Discussion

76.	The dimensions of `a/b` in the equation `P=(a-t^(2))/(bx)` where `P` is pressure, `x` is distance and `t` is time areA. `[M^(2)L^T^(-3)]`B. `[MT^(-2)]`C. `[LT^(-3)]`D. `[ML^(3)T^(-1)]`
Answer» Correct Answer - B `p=(a-t^(2))/(bx)` , where ,o`p` -pressure, `t` - time `" "[pbx]=[a]=[t^(2)]` Hence, `" "[b]=([T^(2)])/([px])` Dimensions of `(a)/(b)=[px]=["MT"^(-2)]`

Discussion

77.	The equation of a wave is given by `y = a sin omega [(x)/v -k]` where ` omega ` is angular velocity and v is the linear velocity . The dimensions of k will beA. `[T^(-2)]`B. `[T^(-)]`C. [T]D. [LT]
Answer» Correct Answer - C `omegak` is dimensionless.

Discussion

78.	Dimensional formula for latent heat is________A. `M^(0)L^(2)T^(-2)`B. `MLT^(-2)`C. `ML^(2)T^(-2)`D. `ML^(2)T^(-1)`
Answer» Correct Answer - A

Discussion

79.	Candela is the unit ofA. Electric intensityB. Luminous intensityC. Sound intensityD. None of these
Answer» Correct Answer - B

Discussion

80.	One femtometer is equivalent toA. `10^(15)m`B. `10^(-15)m`C. `10^(-12)m`D. `10^(12)m`
Answer» Correct Answer - B

Discussion

81.	The dimension of magnetic field in `M,L,T and C` (coulomb) is given asA. `MT^(2) C^(-2)`B. `MT^(-1) C^(-1)`C. `MT^(-2) C^(-1)`D. `MLT^(-1) C^(-1)`
Answer» Correct Answer - B (2) `F = Bqv implies V = (F)/(qv) = (MLT^(-2))/(Q.LT^(-1))` `[B] = MT^(-1) C^(-1)`

Discussion

82.	Dimensional formula of heat energy isA. `ML^(2)T^(-2)`B. `MLT^(-1)`C. `M^(0)L^(0)T^(-2)`D. None of these
Answer» Correct Answer - A

Discussion

83.	The dimensions of `CV^(2)` matches with the dimensions ofA. `L^(2)I`B. `L^(2)I^(2)`C. `LI^(2)`D. `1/(LI)`
Answer» Correct Answer - C

Discussion

84.	The equation `(P+a/(V^(2)))(V-b)` constant. The units of `a` areA. `"Dyne"xxcm^(5)`B. `"Dyne"xxcm^(4)`C. `"Dyne"//cm^(3)`D. `"Dyne"//cm^(2)`
Answer» Correct Answer - B

Discussion

85.	In `S=a+bt+ct^(2).S` is measured in metres and `t` in seconds. The unit of `c` isA. NoneB. `m`C. `ms^(-1)`D. `ms^(-2)`
Answer» Correct Answer - D

Discussion

86.	If `L=2.331cm`,`B=2.1cm`, then `L+B=A. `4.431cm`B. `4.43cm`C. `4.4cm`D. `4cm`
Answer» Correct Answer - C

Discussion

87.	What is the number of significant figures in `0.0310xx10^(3)`?A. 2B. 3C. 4D. 6
Answer» Correct Answer - B We shall count number of significant digit only in 0.0310 which is 3.

Discussion

88.	In which of the following numerical values, all zeros are significant?A. `0.2020`B. 20.2C. 2020D. None of these
Answer» Correct Answer - B Only in 20.2 all zero are significant because in the digit zero lies between two digits.

Discussion

89.	The volumes of two bodies are measured to be `V_1 = (10.2+-0.02) cm^3 and V_2 = (6.4 +- 0.01)cm^3`. Calculate sum and difference in volumes with error limits.
Answer» given, `V_(1)=(10.2pm0.02)cm^(3)` and `V_(2)=(6.4pm0.01)m^(3)` `DeltaV=pm(DeltaV_(1)+DeltaV_(2))` `=pm(0.02+0.01)cm^(3)=pm0.03 cm^(3)` `V_(1)+V_(2)=(10.2+6.4)cm^(3)=16.6 cm^(3)` and `V_(1)+V_(2)=(10.2-6.4)cm^(3)=3.8 cm^(3)` Hence, sum of volumes= `(16.6pm0.03)cm^(3)` and difference of volumes= `(3.8pm0.03)cm^(3)`

Discussion

90.	The length of a rod as measured in an experiment was found to be 2.48m, 2.46 m, 2.49 m, 2.50 m and 2.48m. Find the average length, absolute arror in each observation and the percentage error.
Answer» Average length=Arithmetic mean of the measured values `x_(mean)=(2.48+2.46+2.49+2.49+2.46)/(5)=(12.38)/(5)=2.476 m` `therefore` True value, `x_(mean)=2.48m` Absolute errors in various measurements, `\|Deltax_(1)\|=\|x_(1)=x_(mean)\|=2.48-2.48=0.00m` `\|Deltax_(2)\|=\|2.46-2.48\|=0.02m` `\|Deltax_(3)\|=\|2.49-2.48\|=0.01m` `\|Deltax_(4)\|=\|2.49-2.48\|=0.01m` `\|Deltax_(5)\|=\|2.46-2.48\|=+0.02m` Mean absolute error =`(\|Deltax_(1)\|+\|Deltax_(2)\|+\|Deltax_(3)\|+...+\|Deltax_(5)\|)/(5)` `((0.00+0.02+0.01+0.01+0.02))/(5)=(0.06)/(5)` `Deltax_(mean)=0.01 m` Thus, `x=2.48pm0.01m` Percentage error, `deltax=(Deltax_(mean))/(x)xx100` `(0.01)/(2.48)xx100=0.40%`

Discussion

91.	The resistance of a conductor `R = V//I`, where `V = (50 +- 2) V` and `I = (9 +- 0.3) A`. Find the percentage error in `R`.
Answer» `(Delta R)/(R ) = (Delta V)/(V) + (Delta I)/(I)` `= (2)/(50) + (0.3)/(9)` `(Delta R)/(R ) xx 100 = ((2)/(50) + (0.3)/(9)) xx 100` `= 4 + 3.3` `= 7.3%`

Discussion

92.	What is the maximum percentage error? (a) In measurement of kinetic energy if the percentage error in mass and speed are `1%` and `2%`, respectively. (b) In measurement of pressure if maximum errors in the measurement of force and length of square plate are `3%` and `2%`, respectively. In measurement of time period of simple pendulum if the percentage error in measurement of length and acceleraton due to gravity are respectively `2%` and `3%`
Answer» `K = (1)/(2) mv^(2)` `(Delta K)/(K) = (Delta m)/(m) + 2 (Delta v)/(v)` `(Delta K)/(K) xx 100 = (Delta m)/(m) xx 100 + 2 (Delta v)/(v) xx 100` `= 1 + 2 xx 2 = 5%` (b) `P = (F)/(l^(2))` `(Delta P)/(P) xx 100 = (Delta F)/(F) xx 100 + 2 (Delta l)/(l)` `= 3 + 2 xx 2 = 7%` (c ) `T = 2 pi sqrt(l//g)` `(Delta T)/(T) xx 100 = (1)/(2) (Delta l)/(l) xx 100 + (1)/(2) (Delta g)/(g) xx 100` `= (1)/(2) xx 2 + (1)/(2) xx 3 = 2.5 %`

Discussion

93.	The velocity of a freely falling body changes as `g^ph^q`where g is acceleration due to gravity and h is the height. The values of p and q areA. `1,1/2`B. `1/2,1/2`C. `1/2,1`D. `1,1`
Answer» Correct Answer - B

Discussion

94.	If `V` denotes te potential difference across the plate of a capacitor of capacitance `C`, the dimensions of `CV^(2)` areA. Not expressible in `MLT`B. `MLT^(-2)`C. `M^(2)LT^(-1)`D. `ML^(2)T^(-2)`
Answer» Correct Answer - D

Discussion

95.	In the relation `P = (alpha)/(beta) e^((alpha Z)/(k theta))`, `P` is pressure, `Z` is height, `k` is Boltzmann constant and `theta` is the temperature. Find the dimensions of `alpha` and `beta`
Answer» Power of exponential is dimesnionless. `(alpha Z)/(k theta)` is dimensionless. `(alpha [L])/([ML^(2) T^(-2) K ^(-1)] [K])` is dimensionless. `[alpha] = [MLT^(-2)]` Dimensions of `(alpha)/(beta)` = Dimensions of `P` `([MLT^(-2)])/(beta) = [ML^(01) T^(-2)]` `[beta] = [L^(2)]`

Discussion

96.	(a) The displacement `s` of a particale in time `t` related as `s = alpha + beta t + gamma t^(2) + delta t^(2)` (b) The veloctiy `v` of particle varies with time as `v = alpha t + beta t^(2) + (gamma )/(t + s)` Findk the dimension fo `alpha, beta, gamma` and `delta`.
Answer» (a) Dimensions of each term on the right-hand side have same dimension as that fo `s`, i.e., `[L]` `[alpha] = L` `[beta t] = L implies [beta] = LT^(-1)` `[gamma t^(2)] = L implies [gamma] = LT^(-2)` `[delta t^(2)] = L implies [delta] = LT^(-3)` (b) Dimension of each term on the right-hand side have same dimensions as that of `v`, i.e., `[Lt^(-1)]` `[alphat] = Lt^(-1) implies [alpha] = LT^(-2)` `[beta t^(2)] = LT^(-1) implies [beta] = LT^(-3)` `[delta] = L` `[(gamma)/(t + S)] = LT^(-1) implies [gamma] = L`

Discussion

97.	The function `f` is given by `f = A sin alpha x + B cos beta t`, where `x` is displacement and `t` is the time. The dimensions of `alpha//beta` isA. `[M^(0) L^(0) T^(0)]`B. `[MLT^(-1)]`C. `[M^(0) L^(-1) T]`D. `[M^(0) LT^(-1)]`
Answer» Correct Answer - C (3) Angles have no dimension. `alpha x` is dimensionless : `[alpha] = L^(-1)` `beta t` is dimensionless : `[beta] = T^(-1)` `(alpha)/(beta) = (L^(-1))/(T^(-1)) = L^(-1) T`

Discussion

98.	A sperical body of mass `m` and radius `r` is allowed to fall in a medium of viscosity `eta`. The time in which the velocity of the body increases from zero to `0.63 ` times the terminal velocity `(v)` is called constant `(tau)`. Dimensionally , `tau` can be represented byA. `(mr^(2))/(6pi eta)`B. `sqrt(((6 pi mr eta)/(g^(2))))`C. `m/(6pi eta rv)`D. None of the above
Answer» Correct Answer - D

Discussion

99.	Which one of the following is not correct?A. Dimension formula of thermal conductivity `(K)` is `["M"^(1)"L"^(1)"T"^(-3)"K"^(-1)]`B. Dimension formula of potential `(V)` is `["M"^(1)"L"^(2)"T"^(3)"A"^(-1)]`C. Dimension formula of permeability of free space `(mu_(0))` is `["M"^(1)"L"^(1)"T"^(-2)"A"^(-2)]`D. Dimensional formula of `RC` is `["M"^(0)"L"^(0)"T"^(-1)]`
Answer» Correct Answer - B Dimensional formula of potential `[V]=["M"" L"^(2)"T"^(-3)"A"^(-1)]` Dimensional formula of `[RC]=["M"^(0)"L"^(0)"T"]`

Discussion

100.	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` areA. `["M"^(-1)"L"^(1)"T"^(2)]`B. `["M"^(0)"L"^(2)"T"^(0)]`C. `["M"^(1)"L"^(-1)"T"^(-2)]`D. `["M"^(0)"L"^(0)"T"^(0)]`
Answer» Correct Answer - B Given equation, `(1)/(pbeta)=(y)/(k_(B)T)` where, `p` = pressure, `y` = distance, `k_(B)` = Boltzmann constant and `T` = temperature Dimension of `[beta]=(["Dimensions of "k_(B)]["Dimensions of "T])/(["Dimensions of "p]["Dim en sions of "y])` `" "=(["ML"^(2)"T"^(-3)]["T"])/(["ML"^(-1)"T"^(-2)]["L"])=["M"^(0)"L"^(2)"T"^(0)]`

Discussion

Explore topic-wise InterviewSolutions in .

Position of a body with acceleration `a` is given by `x=Ka^mt^n`, here t is time Find demension of m and n.A. `m=1, n=1`B. `m=1, n=2`C. `m=2, n=1`D. `m=2, n=2`

Which physical quantities have the same dimensionA. Couple of force and workB. Force and powerC. Latent heat and specific heatD. Work and power

The frequency of vibration of string is given by `v = (p)/(2 l) [(F)/(m)]^(1//2)`. Here `p` is number of segment is the string and `l` is the length. The dimension formula for `m` will beA. `[M^(0) LT^(-1)]`B. `[M L^(0) T^(-1)]`C. `[ML^(-1) T^(0)]`D. `[M^(0) L^(0) T^(0)]`

The equation of a state of a real gas is given by `(P + (a)/(V^(2))) (V - b) = RT`, where `T` is absolute temperature, `P` is pressure, `V` is volume and `R` is universal gas constant. What are the dimensions of constant `a` and `b` ?

If energy `(E )` , velocity `(V)` and time `(T)` are chosen as the fundamental quantities , the dimensions formula of surface tension will beA. `["Ev"^(-2)"T"^(-1)]`B. `["Ev"^(-1)"T"^(-2)]`C. `["Ev"^(-2)"T"^(-2)]`D. `["E"^(-2)"v"^(-1)"T"^(-3)]`

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

The frequency of vibration of string is given by `v=p/(2l)[F/m]^(1//2)`. Here `p` is number of segments in the string and `l` is the length. The dimensional formula for `m` will beA. `["M"^(0)"LT"^(-1)]`B. `["ML"^(0)"T"^(-1)]`C. `["ML"^(-1)"T"^(0)]`D. `["M"^(0)"L"^(0)"T"^(0)]`

The equation of a wave is given by `Y = A sin omega ((x)/(v) - k)`, where `omega` is the angular velocity and `v` is the linear velocity. Find the dimension of `k`.A. `LT`B. `T`C. `T^(-1)`D. `T^(2)`

The unit of e.m.f isA. JouleB. Joule-CoulombC. Volt-CoulombD. Joule/Coulomb

Which of the following is not the unit of timeA. Micro secondB. Leap yearC. Solar dayD. Parallactic second

Dimensions of potential energy areA. `MLT^(-1)`B. `ML^(2)T^(-2)`C. `ML^(-1)T^(-2)`D. `ML^(-1)T^(-1)`

Light year is a unit ofA. TimeB. MassC. DistanceD. Energy

Length cannot be measured byA. FermiB. DebyeC. MicronD. Light year

If the unit of length and force be increased four times, then the unitof energy isA. Increased 4 timesB. Increased 8 timesC. Increased 16 timesD. Decreased 16 times

The nuclear cross-section is measured in barn, it is equal toA. `10^(-20)m^(2)`B. `10^(-30)m^(2)`C. `10^(-28)m^(2)`D. `10^(-14)m^(2)`

Which is the correct unit for measuring nuclear radiiA. MicronB. MillimetreC. AngstromD. Fermi

In which of the following systems of unit, Weber is the unit ofmagnetic fluxA. CGSB. MKSC. SID. None of these

Tesla is a unit for measuringA. Magnetic momentB. Magnetic inductionC. Magnetic intensityD. Magnetic pole strength

SI unit of pressure isA. PascalB. Dynes`//cm^(2)`C. cm of HgD. Atmosphere

The unit of angular acceleration in the SI system isA. `Nkg^(-1)`B. `ms^(-2)`C. `rads^(-2)`D. `m kg^(-1)K`

Which of the following is not a unit of energyA. `W-s`B. `kg-m//sec`C. `N-m`D. Joule

The dimensional formula fo resistivity in terms of `M,L,T` and `Q` where `Q` stands for the dimensions of charge isA. `ML^(3)T^(-1)Q^(-2)`B. `ML^(3)T^(-2)Q^(-1)`C. `ML^(2)T^(-1)Q^(-1)`D. `MLT^(-1)Q^(-1)`

The dimensional formula fo resistivity in terms of `M,L,T` and `Q` where `Q` stands for the dimensions of charge isA. `[ML^(3)T^(-1)Q^(-2)]`B. `[ML^(2)T^(-2)Q^(2)]`C. `[MLT^(-2)Q^(-2)]`D. `[ML^(2)T^(-2)Q^(-1)]`

The dimensions of `a/b` in the equation `P=(a-t^(2))/(bx)` where `P` is pressure, `x` is distance and `t` is time areA. `[M^(2)L^T^(-3)]`B. `[MT^(-2)]`C. `[LT^(-3)]`D. `[ML^(3)T^(-1)]`

The equation of a wave is given by `y = a sin omega [(x)/v -k]` where ` omega ` is angular velocity and v is the linear velocity . The dimensions of k will beA. `[T^(-2)]`B. `[T^(-)]`C. [T]D. [LT]

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

Candela is the unit ofA. Electric intensityB. Luminous intensityC. Sound intensityD. None of these

One femtometer is equivalent toA. `10^(15)m`B. `10^(-15)m`C. `10^(-12)m`D. `10^(12)m`

The dimension of magnetic field in `M,L,T and C` (coulomb) is given asA. `MT^(2) C^(-2)`B. `MT^(-1) C^(-1)`C. `MT^(-2) C^(-1)`D. `MLT^(-1) C^(-1)`

Dimensional formula of heat energy isA. `ML^(2)T^(-2)`B. `MLT^(-1)`C. `M^(0)L^(0)T^(-2)`D. None of these

The dimensions of `CV^(2)` matches with the dimensions ofA. `L^(2)I`B. `L^(2)I^(2)`C. `LI^(2)`D. `1/(LI)`

The equation `(P+a/(V^(2)))(V-b)` constant. The units of `a` areA. `"Dyne"xxcm^(5)`B. `"Dyne"xxcm^(4)`C. `"Dyne"//cm^(3)`D. `"Dyne"//cm^(2)`

In `S=a+bt+ct^(2).S` is measured in metres and `t` in seconds. The unit of `c` isA. NoneB. `m`C. `ms^(-1)`D. `ms^(-2)`

If `L=2.331cm`,`B=2.1cm`, then `L+B=A. `4.431cm`B. `4.43cm`C. `4.4cm`D. `4cm`

What is the number of significant figures in `0.0310xx10^(3)`?A. 2B. 3C. 4D. 6

In which of the following numerical values, all zeros are significant?A. `0.2020`B. 20.2C. 2020D. None of these

The volumes of two bodies are measured to be `V_1 = (10.2+-0.02) cm^3 and V_2 = (6.4 +- 0.01)cm^3`. Calculate sum and difference in volumes with error limits.

The length of a rod as measured in an experiment was found to be 2.48m, 2.46 m, 2.49 m, 2.50 m and 2.48m. Find the average length, absolute arror in each observation and the percentage error.

The resistance of a conductor `R = V//I`, where `V = (50 +- 2) V` and `I = (9 +- 0.3) A`. Find the percentage error in `R`.

The velocity of a freely falling body changes as `g^ph^q`where g is acceleration due to gravity and h is the height. The values of p and q areA. `1,1/2`B. `1/2,1/2`C. `1/2,1`D. `1,1`

If `V` denotes te potential difference across the plate of a capacitor of capacitance `C`, the dimensions of `CV^(2)` areA. Not expressible in `MLT`B. `MLT^(-2)`C. `M^(2)LT^(-1)`D. `ML^(2)T^(-2)`

In the relation `P = (alpha)/(beta) e^((alpha Z)/(k theta))`, `P` is pressure, `Z` is height, `k` is Boltzmann constant and `theta` is the temperature. Find the dimensions of `alpha` and `beta`

(a) The displacement `s` of a particale in time `t` related as `s = alpha + beta t + gamma t^(2) + delta t^(2)` (b) The veloctiy `v` of particle varies with time as `v = alpha t + beta t^(2) + (gamma )/(t + s)` Findk the dimension fo `alpha, beta, gamma` and `delta`.

The function `f` is given by `f = A sin alpha x + B cos beta t`, where `x` is displacement and `t` is the time. The dimensions of `alpha//beta` isA. `[M^(0) L^(0) T^(0)]`B. `[MLT^(-1)]`C. `[M^(0) L^(-1) T]`D. `[M^(0) LT^(-1)]`

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` areA. `["M"^(-1)"L"^(1)"T"^(2)]`B. `["M"^(0)"L"^(2)"T"^(0)]`C. `["M"^(1)"L"^(-1)"T"^(-2)]`D. `["M"^(0)"L"^(0)"T"^(0)]`