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CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 13 - MCQExams.com

The dimension of 12ϵoE2 permittivity of free space and E:
Intensity of electric field) is



      

  • [MLT1]
  • [ML2T1]
  • [ML1T2]
  • [ML2T2]
The radius of a sphere is measured as (10±0.02 %) cm. The error in the measurement of its volume is 
  • 25.1 cc
  • 25.12 cc
  • 2.51 cc
  • 251.2 cc
A particle is moving with a velocity 35 m/s along positive x-axis.It's acceleration is towards negative X-axis with the magnitude 4m/s2 then the distance covered by the particle in the 9th second:-
  • 1m
  • 98m
  • 54m
  • 153m
The vector sum of three forces having magnitudes |F1|=100N,  |F2|=80N &  |F3|=60N acting on a particle is zero. the angle between F1  & F2 is nearly:-
  • 530
  • 1430
  • 370
  • 1270
Two constant force F1andF2 acts on a body.these forces displaces the body from point P(1, -2, 3) to Q (2, 3, 7 ) in 2s starting from rest.force F1 is of magnitude 9 N and acting along vector (2ˆi2ˆj+ˆk) . the positions are in meter. find work done by F1.
  • 12J
  • +12J
  • 36J
  • 36J
A force is given by F=at+bt2, where t is time, the dimensions of a and b are respectively :
  • [MLT4] and [MLT1]
  • [MLT1] and [MLT0]
  • [MLT3] and [MLT4]
  • [MLT3] and [MLT0]
The radius of a sphere is measured to be (4.0+2.0) cm the maximum percentage error in the measurement of the volume of the sphere is 
  • 10 %
  • 15 %
  • 20%
  • 25 %
If the constant of gravitation (G), Planck's constant (h) and the velocity of light (c) be chosen as fundamental units. The dimension of the radius of gyration is
  • h1/2c1/2G1/2
  • h1/2c3/2G1/2
  • h1/2c3/2G1/2
  • h1/2c3/2G1/2
In the equation Snth=u+a2(2n1), the letters have their usual meanings. The dimensional formula of Snth is
  • [ML0T]
  • [ML1T1]
  • [M0LT1]
  • [M0LT0]
A physical quantity x depends on quantities y and Z as follows  : x= Ay+B tan (Cz), where A, B and C are constants . Which of the following do not have same dimensions ?
  • x and B
  • C and z1
  • y and B/A
  • x and A
The term (1/2)pv2 occurs in Bernoulli's  equation , with β being the density of fluid and V its speed . The dimensions of this term are 
  • [M1L5T2]
  • [MLT2]
  • [ML1T2]
  • [M1L9T2]
Two resistance are measured in ohm and is given as:-
R1=3Ω1
R2=6Ω2
When they are connectrd in parallel, the percentage error in equivalent resistance is
  • 3.33%
  • 4.5%
  • 0.67%
  • 1.33%
The pair of physical quantities, that have difference dimensions is 
  • Planck's constant and angular momentum
  • Energy density and pressure
  • Relative density and plane angle
  • Specific heat capacity and latent heat
The dimension of the ratio of magnetic flux and the resistance is equal to that of:
  • induced emf
  • charge
  • inductance
  • current
If pressure is (P), velocity (V), and time (T) are taken as the fundamental quantities, then the dimensional formula of force is
  • [P1V1T1]
  • [P1V2T1]
  • P1V1T2
  • [P1V2T2]
In a system of units if force (F), acceleration (A) and time, (T) are taken as fundamental units then the dimensional formula of energy is -
  • FA2T
  • FAT2
  • F2AT
  • FAT
If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would
  • Decreased by 2%
  • Increased by 2%
  • Remain unchanged
  • Increased by 1%
Dimensional formula [M1L0T2] is equal to dimensional formula of 
  • Surface tension
  • surface energy
  • Both A and B
  • None of these
Dimensional formula of momentum is :
  • MLT
  • M1L1T1
  • ML1T1
  • MLT1
Dimensions of rate of change of flux are equivalent to those of 
  • voltage
  • current
  • 1/charge
  • charge
If  S=dt+e(ft)2,  where  S  is the displacement of the body in time  t.  Find the dimensions of  e  and  f
  • LT,T
  • LT2,T
  • L2T,T3
  • LT,T2
The dimensional formula for the acceleration, velocity and length are αβ2,αβ1 and αy. What is the dimensional formula for the coefficient of friction ? 
  • αβy
  • α1β10y0
  • α0β1y0
  • α0β0y0
The dimensions of the ratio of angular momentum to linear momentum:
  • [M1L3T0]
  • [M0L1T2]
  • [M0L0T1]
  • [M0L1T0]
The dimensions of universal gas constant is
  • [ML2T2θ1]
  • [M2LT2θ]
  • [ML3T1θ1]
  • None of these
Velocity gradient has same dimensional formula as
  • Frequency
  • angular momentum
  • velocity
  • none of these
The dimension of electric permittivity is
  • ML3T4A2
  • ML3T4A2
  • M1L3T4A2
  • M1L3T4A2
Find dimension formula of polarisation?
  • [L2T1A1]
  • [L2T1A1]
  • [L2T1A1]
  • [L3T1A1]
If η represents the coefficient of viscosity and T the surface tension, then the dimension of Tη is same as that of:
  • length
  • mass
  • time
  • speed
Dimensional formula of modulus of elasticity is
  • [M0L1T2]
  • [M1L1T2]
  • [M1L1T2]
  • [M1L1T2]
Given  x=a+bt+ct2  where  x  in metre and  t  in second. Find the dimensional formula of  b
  • L
  • LT1
  • LT2
  • L2
The radius of nucleus is r=r0A1/3, where A is mass number. The dimensions of r0 is 
  • [MLT2]
  • [M0L0T1
  • [M0LT0]
  • None of these
If L be the inductance, R resistance and C be the capacitance of a capacitor, then dimensional formula of LR and RC are
  • MoLT1MLoT1
  • MoLoT,MLTo
  • MoLoT,1
  • MoLoT,MoLoT
The dimensions of (μ0ϵ0)12 are
  • [L12T12]
  • [L12T12]
  • [L1T]
  • [LT1]
If C be the capacitance and V be the electric potential,then the dimensional formula of CV2 is 
  • [ML3TA]
  • [MoLT2Ao]
  • [ML1A1]
  • [ML2T2Ao]
Given  x=a+bt+ct2  where  x  in metre and  t  in second. Find the dimensional formula of  C
  • L
  • LT1
  • LT2
  • L2T2
Given that m is the mass suspended from a spring  force constant k. The dimension of the formula for m/k is same as that for 
  • frequency
  • time period
  • velocity
  • wavelength
Velocity gradient has dimension of
  • Force  
  • Frequency
  • Surface tension 
  • momentum 
The Earth's radius is 6371 km. The order of magnitude of the Earth's radius is
  • 103
  • 102
  • 107
  • 105
The diagram shows a cuboid block made from a metal of density 2.5g/cm3
What is the mass of the block?
1647084_f928bdb31fbb4bd0b578f2af7b6d3ebe.png
  • 8.0kg
  • 16kg
  • 50g
  • 100g
The dimensional formula of pressure is 
  • [MLT2]
  • [ML2T2]
  • [ML1T2]
  • [M0L1T2]
The dimension of 12εoE2(εo  is the permitivity of free space and E is electric field) is 
  • [ML2T1]
  • [ML1T2]
  • [ML2T2]
  • [MLT1]
In the density measurement of a cube, the mass an edge length are measured as (10.00±0.10)kg and (0.10±0.01)m, respectively. The error in the measurement of density:
  • 0.10kg/m3
  • 0.31kg/m3
  • 0.07kg/m3
  • 0.01kg/m3
  • No answer
The dimensional formula for the magnetic fields is 
  • [MT2A1]
  • [ML2T1A2]
  • [MT2A2]
  • [MT1A2]
The dimension of Magnetic flux.
  • ML2I1T3
  • ML2I4T2
  • ML2I1T2
  • None of these
Which of the following does not have the dimension of force?
  • Potential gradient
  • Energy gradient
  • Weight
  • Rate of change of momentum
If P and Q have different non-zero dimensions, which of the following operations is possible?
  • P+Q
  • PQ
  • PQ
  • 1PQ
The pairs of physical quantities that have the same dimensions in (are):
  • Reynolds number and coefficient of friction
  • Curie and frequency of a light wave
  • Latent heat and gravitational potential
  • Planck's constant and torque
Taking frequency f, velocity v and density ρ to be the fundamental quantities then the dimensional formula for momentum will be?
  • ρv4f3
  • ρv3f1
  • ρvf2
  • ρ2v2f2
If  x,v and a denote the displacement, the velocity and the acceleration of a particle
executing simple harmonic motion of time period T, then which of the following do not
change with time?
  • aTv
  • aT+2πv
  • a2T2+4π2v2
  • aT
  • vT
The dimensions of time constant are:
  • [M0L0T0]
  • [M0L0T]
  • [MLT]
  • None of these
0:0:2


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