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CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 15 - MCQExams.com

Out of the following pairs, choose the pair in which the physical quantities do not have identical dimension?
  • Pressure and Young's modules
  • Planck's constant and Angular momentum
  • Impulse and moment of force
  • Force and rate of change of linear momentum
Amol has three objects, X, Y and Z. He puts X into a measuring cylinder with 30 mL of water. Then he puts Y and Z one by one into the same measuring cylinder as shown.
Which of the objects has/have a volume less than 30 mL?

802697_595185d676db4646b34ba196efcd8f0d.jpg
  • X only
  • Y only
  • X and Y only
  • X, Y and Z
Assertion: The dimensional formula for relative velocity is same as that of the change in velocity.
Reason: 
Relative velocity of P w.r.t. Q is the ratio of velocity of P and that of Q.
  • Both assertion and reason are true but the reason is the correct explanation of assertion
  • Both assertion and reason are true but the reason is not the correct explanation of assertion
  • Assertion is true but reason is false
  • Both the assertion and reason are false
  • Reason is true but assertion is false
The Van der Waal's equation of n moles of a real gas is
(P+aV2)(Vb)=nRT
Where P is pressure, V is volume, T is absolute temperature, R is molar gas constant and a,b,c are Van der Waal constants. The dimensional formula for ab is:
  • [ML8T2]
  • [ML6T2]
  • [ML4T2]
  • [ML2T2]
A block of mass 1kg is placed on a rough horizontal surface. A spring is attached to the block whose other end is joined to a rigid wall, as shown in the figure. A horizontal force is applied to the block so that it remains at rest while the spring is elongated by x(xμmgk). Let Fmax and Fmin be the maximum and minimum values of force F for which the block remains in equilibrium. For a particular x, FmaxFmin=2N. Also shown is the variation of Fmax+Fmin versus x, the elongation of the spring.
The coefficient of friction between the block and the horizontal surface is :


1094506_9b906413d34f422eb3188b1d88665020.png
  • 0.1
  • 0.2
  • 0.3
  • 0.4
A beam balance of unequal arm length is used by an unscruplus trader. When an object is weighed on left pan. The weight i found to be W1. When the object is weighed on the right plan, the weight is found to be W2. If W1W2, the correct weight of the object is
  • W1+W22
  • W1W2
  • W21+W22
  • W22W21
The dimension of (12)ε0E2 is (ε0: permittivity of free space, Electric field)
  • MLT1
  • ML2T2
  • ML1T2
  • ML2T1
A particle of mass m collides with a stationary particle and continues to move at an angle of 45o with respect to the original direction. The second particle also recoils at an angle of 45o to this direction. The mass of the second particle is (collision is elastic)
  • m
  • 2m
  • m2
  • m2

Two resistors of resistances R1=150±2 Ω and R2=220±6 Ω areconnected in parallel combination.Calculate the equivalent resistance.

  • 180Ω
  • 90Ω
  • 18Ω
  • 10Ω
Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R1 and R2 respectively. The ratio of the mass of X to that of Y is?
  • (R1/R2)1/2
  • R2/R1
  • (R1/R2)2
  • R1/R2
Multiple Correct Answers Type
Which of the following pairs have the same dimensions?
(L = inductance, C = capacitance, R = Resistance)
  • LR and CR
  • LR and CR
  • LR and LC
  • RC and 1LC
A body of mass m1, moving with a uniform velocity of 50ms1 collides with another body of mass m2 at rest and then two together start moving with a velocity 40ms1 . The ratio of their masses (m1m2) is 
  • 1 : 3
  • 2 : 3
  • 2 : 5
  • 4 : 1
A body is dropped from a height h. If it acquired a momentum p, Then the mass of the body is 
  • P2gh
  • P22gh
  • 2ghP
  • 2ghp
Two particle X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R1 and R2 respectively. The ratio of the mass X to the Y is:
  • (R1R2)12
  • R2R1
  • (R1R2)2
  • R1R2
Which of the following quantity is dimension less?
  • Gravitational Constant
  • Plank's Constant
  • Power of lens
  • None of these
van der Waal's constant a has the dimensions of 
  • Mol L1
  • Atm L2 mol2
  • L mol1
  • Atm L mol2
The length of two rods measured by a meter scale are 60.0 cm and 20.0 cm respectively. The least count of meter scale is 1 mm. Then
  • First measurement is more accurate
  • Second measurement is more accurate
  • Both measurement are equally accurate
  • First measurement is more is more precise
The linear mass density i.e. mass per unit length of a rod of length L is given by ρ = ρ0(1 + xL), where ρ0 is constant , x is distance from the left end. Find  the c.o.m from the left end.

  • 5L9
  • 4L9
  • 5L8
  • 3L8
Figure shows a weighing machine kept in a lift is moving upwards with acceleration of 5 m/s2. A block is kept on the weighing machine. Upper surface of block is attached with a spring balance. Reading shown by weighing machine and spring balance is 15 kg and 45 kg respectively.
Answer the following question. Assume that the weighing machine can measure weight by having negligible deformation due to block, while the spring balance requires larger expansion(take g=10m/s2).
Mass of the object in kg and the normal force acting on the block due to weighing machine are?

1157695_dbb23e3b506747e3859a29880d655825.jpg
  • 60 kg, 450N
  • 40kg, 150N
  • 80kg, 400N
  • 10kg, Zero
Two isotopes of an element X are present in the ratio of 1:2, having mass number M and (M+0.5) respectively. Find the mean mass number of X
  • M+(2/3)
  • M+(1/3)
  • M+(1/4)
  • M+3
The dimension[ M L T] may correspond to 
  • Work done by a force
  • Linear momentum
  • Pressure
  • Energy per unit volume
  • None of these
A pressure O, velocity of light C and acceleration due to gravity g are chosen as fundamental units, then dimensional formula of mass is 
  • PC3 g4
  • PC4 g3
  • PC4 g3
  • PC4 g3
A student perform an experiment for determination of (g=4π2lT2),l1m, and he commits an error of δl. For T he takes the time of n oscillations with the stop watch of least count ΔT and he commits a human error of 0.1s. For which the following data, the measurement of g will be most accurate ? 
  • ΔL=.5,ΔT=0.1,n=20
  • ΔL=.5,ΔT=0.1,n=50
  • ΔL=.5,ΔT=0.01,n=20
  • ΔL=.0.1,ΔT=0.05,n=50
The dimension of magnetic field in M,L,T and C (Colulomb) is given as
  • MLT1C1
  • MLT2C2
  • MT1C1
  • MT2C1
What is dimension of d2xdy2 where x is pressure and y is energy incident over unit area in unit time of a surface? 
  • M1L2T3
  • M1L1T4
  • M1L3T3
  • M2L3T4
The equation of state for a real gas such as hydrogen, oxygen, etc. is called the Van der Waal's equation which reads 
(P+aV2)(Vb)=nRT
Where a and b are constant of a gas. the dimensional formula of constant a is:
  • ML5T2
  • ML5T1
  • ML1T1
  • α being a constant, is dimensionless
Four particles of mass m1=2m, m2=4m, m3=m and m4 are placed at four corners of a square. What should be the value of m4 so that the centre of mass of all the four particles are exactly at the centre of the square?
1207288_04c357be65ce499e92f4edf06e38888d.png
  • 2m
  • 8m
  • 6m
  • None of these
Let [εo] denotes the dimensional formula of the permittivity of the vacuum. If M = mass, L = Length, T = time and A = electric current, then:
  • [εo]=[M1L3T2A]
  • [εo]=[M1L3T4A2]
  • [εo]=[M1L2T1A2]
  • [εo]=[M1L2T1A]
The accuracy in the measurement of the diameter of hydrogen atom as 1.06 x 1010 m is
  • 0.01
  • 106 x 1010
  • 1106
  • 0.01 x 1010
A uniform rod of mass M and length L leans against a frictionless wall, with quarter of its length hanging over a corner as shown. Friction at corner is sufficient to keep the rod at rest. Then the ratio of magnitude of normal reaction on rod by wall and the magnitude of normal reaction on rod by corner is?
1165050_8a15766f288b4378af863571b8eb8ed1.png
  • 12sinθ
  • 2sinθ
  • 12cosθ
  • 2cosθ
V is the volume of a liquid flowing per second through a capillary tube of length l and radius r, under a pressure difference (p). If the velocity (v), mass (M) and time (T) are taken as the fundamental quantities, then the dimensional formula for η in the relation V=πpr48ηl is
  • [MV1]
  • M1V1T2]
  • [M1V1T2]
  • [M1V1T2]
Dimensions of magnetic flux density is-
  • M1L0T1A1
  • M1L0T2A1
  • M1L1T2A1
  • M1L0T1A2
The figure shows the position-time (x-t) graph of one-dimenstional motion of a body of mass 0.4kg. The magnitude of each impulse is
1324822_c70586ba5e1b4d0c95e0244553763e74.PNG
  • 0.2Ns
  • 0.4Ns
  • 0.8Ns
  • 1.6Ns
The dimensions of the quantity LRCV are-
  • M0L0T1A1
  • M0L0T0A1
  • M0L0T0A1
  • M0L0T1A1 
The dimensions of emissive power are:
  • [M1L2T3]
  • [M1L2T3]
  • [M1L0T3]
  • [M1L0T62]

The dimensional formula
for the physical quantity Bμ0ϵ0E is : (E=intensity
of electric field, B-magnetic induction and symbols have their usual meaning)




  • LoMT
  • L1MT1
  • L3MT3
  • L12MT12
The moon's distance from the earth is 360000 km and its diameter subtends an angle of 42' at the eye of the observer. The diameter of the moon in kilometers is :
  • 4400
  • 1000
  • 3600
  • 8800
The dimensional formula of (slugbarn) is
  • [M1L1T0]
  • [M1L2T0]
  • [M1L0T1]
  • [M1L0T0]
The diameter and height of a cylinder are measured by a meter scale to be 12.6±0.1 cm and 34.2±0.1 cm ,respectively. What will be the value of its volume in appropriate significant figures?
  • 4264±81cm3
  • 4260±80cm3
  • 4264.4±81.0cm3
  • 4300±80cm3
The periodic time (T) of a simple pendulum of length (L) is given by T=2πLg. What is the dimensional formula of T=gL?
  • [M0L0T1]
  • [M0L0T0]
  • [M1L1T1]
  • [M0L1T1]
The dimensional formula for 12ε0E2 is identical to that of 
  • B22μ0
  • 12B2μ0
  • μ202B
  • 12Bμ20
If force F, acceleration A and time T are are chosen asfundamental quantities, the dimensiogs of energy in the system are 
  • FAT2
  • F2A1T
  • F0AT2
  • F1A2T0
A quantity Q=EL2m5G2  where E,I,G and m are energy, angular momentum, gravitational constant and mass respectively. What are the dimensional of Q ?
  • [M0L0T0]
  • [M1L0T1]
  • [M1L1T1]
  • [M1L1T1]
The term (1/2) pv 2 occurs in Bernaullis equations, with p being the density of a fluid and v its speed The dimensions of this term are
  • [L1T2]
  • [MLT2]
  • [ML1T2]
  • m2L0T21
The dimensional formula for Stefan's constant is
  • M0L0T2K4
  • M1L0T3K4
  • M1L1T2K2
  • M0L2T3K3
A glass cube of edge 1 cm and μ=1.5 has a spot at the centre .The area of the cube face that must be covered to prevent the spot from being seen is (in cm2)
  • 5π
  • 5π
  • π5
  • π5
A force acts for 0.5 s on a body of mass 1.5 kg initially at rest. When the force ceases to act, the body is found to cover a distance of 5 m in 2 s. The magnitude of the applied force is
  • 5.0 N
  • 7.5 N
  • 10 N
  • 12.5 N
The dimensions of (force constant \ mass)1/2 are the same as that
  • acceleration
  • angular acceleration
  • angular velocity
  • none of the above
Dimensional formula for electromotive force is same as that for
  • potential
  • current
  • force
  • energy
The dimensions of massForceconstantofSHM are same as that of :
  • time
  • (time)2
  • acceleration
  • 1acceleration
0:0:1


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