PYQSide ExamsMy practice

Units and Measurements · Question 40

AIPMT 2010 (Mains)MCQEasy📈 Topic in 38% papers+4−1
1

A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is

  1. e2 - e1
  2. e1 + 2e2
  3. e1 + e2
  4. e1 - 2e2

Answer

(2) e1 + 2e2

Solution

For free fall from rest: h = 12gt2

⇒ g = 2ht2

∴ Maximum relative error: gg = hh + 2 tt

⇒ Percentage error in g = e1 + 2e2

Answer: (2)

AIPMT 2010 (Mains)

Keep practising — Units and Measurements

2

The dimension of 12 0 E2, where 0 is permittivity of free space and E is electric field, is

  1. ML2T-2
  2. ML-1T-2
  3. ML2T-1
  4. MLT-1
AIPMT 2010 (Prelims)
3

If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be

  1. velocity if a = 1, b = 0, c = -1
  2. acceleration if a = 1, b = 1, c = -2
  3. force if a = 0, b = -1, c = -2
  4. pressure if a = 1, b = -1, c = -2
AIPMT 2009
4

If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be

  1. 8%
  2. 2%
  3. 4%
  4. 6%
AIPMT 2008
5

Which two of the following five physical parameters have the same dimensions ? 1. Energy density 2. Refractive index 3. Dielectric constant 4. Young's modulus 5. Magnetic field

  1. 1 and 4
  2. 1 and 5
  3. 2 and 4
  4. 3 and 5
AIPMT 2008
6

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

  1. [ML2T-2]
  2. [ML2T-1I-1]
  3. [ML2T-3I-2]
  4. [ML2T-3I-1]
AIPMT 2007
7

The velocity v of a particle at time t is given by v = at + bt+c, where a, b and c are constants. The dimensions of a, b and c are

  1. [L], [LT] and [LT-2]
  2. [LT-2], [L] and [T]
  3. [L2], [T] and [LT-2]
  4. [LT-2], [LT] and [L]
AIPMT 2006
8

The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of

  1. time
  2. frequency
  3. angular momentum
  4. velocity
AIPMT 2005
9

The dimensions of universal gravitational constant are

  1. [ M-1L3T-2]
  2. [ ML2T-1]
  3. [ M-2L3T-2]
  4. [ M-2L2T-1]
AIPMT 2004
10

The dimensions of Planck's constant are equal to those of

  1. energy
  2. momentum
  3. angular momentum
  4. power
AIPMT 2001
11

Which pair does not have equal dimensions?

  1. Energy and torque
  2. Force and impulse
  3. Angular momentum and Planck constant
  4. Elastic modulus and pressure
AIPMT 2000

All Units and Measurements PYQs →

PDFDownload Units and Measurements PYQs as PDF Free, with answer key and a QR code to every solution — print it or study offline⬇
All NEET Physics chapters
Class 11Units and MeasurementsMotion in a Straight LineMotion in a PlaneLaws of MotionWork, Energy and PowerSystem of Particles and Rotational MotionGravitationMechanical Properties of SolidsMechanical Properties of FluidsThermal Properties of MatterThermodynamics (Physics)Kinetic TheoryOscillationsWaves
Class 12Electric Charges and FieldsElectrostatic Potential and CapacitanceCurrent ElectricityMoving Charges and MagnetismMagnetism and MatterElectromagnetic InductionAlternating CurrentElectromagnetic WavesRay Optics and Optical InstrumentsWave OpticsDual Nature of Radiation and MatterAtomsNucleiSemiconductor ElectronicsExperimental Skills (Physics)