JEE Questions for Physics Units And Measurements Quiz 9 - MCQExams.com

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across it. If the percentage errors in the measurement of the current and the voltage difference ore 3% each, then error in the value of resistance of the wire is
  • 6%
  • zero
  • 1%
  • 3%
Match the following
Physics-Units and Measurements-93486.png
  • A-ii, B-iii, C-iv, D-i
  • A-iv, B-iii, C-ii, D-i
  • A-iii, B-iv, C-i, D-ii
  • A-iv, B-i, C-ii, D-iii
  • A-ii, B-iv, C-i, D-iii
The unit of Stefan\'s constant σ is
  • Wm–2 K–1
  • Wm2 K–4
  • Wm–2 K–4
  • Wm–2 K4
Which of the following represents a volt ?
  • Joule/second
  • Watt/ampere
  • Watt/coulomb
  • Coulomb/joule
What is the SI unit of permeability ?
  • Henry per metre
  • Tesla metre per ampere
  • Weber per ampere metre
  • All the above units are correct
Tesla is a unit for measuring
  • Magnetic moment
  • Magnetic induction
  • Magnetic intensity
  • Magnetic pole strength
If the unit of length and force be increased four times, then the unit of energy is
  • Increased 4 times
  • Increased 8 times
  • Increased 16 times
  • Decreased 16 times

Physics-Units and Measurements-93489.png
  • 1
  • 10
  • 0.1
  • 0.01
One yard in SI units is equal
  • 1.9144 metre
  • 0.9144 metre
  • 0.09144 kilometre
  • 1.0936 kilometre
Which one of the following pairs of quantities and their units is a proper match?
  • Electric field-coulomb/m
  • Magnetic flux-weber
  • Power-farad
  • Capacitance-henry
Match List-I with List-II and select the correct answer using the codes given below the lists
Physics-Units and Measurements-93491.png
  • I-A, II - F , III - E, IV - D
  • I-C, II - F , III - A, IV - B
  • I-C, II - F , III - A, IV - E
  • I-B, II - F , III - A, IV - C
Which relation is wrong ?
  • 1 calorie = 4.18 joule
  • 1Å = 10–10 m
  • 1 Mev = 1.6 x 10–13 joule
  • 1 newton =10–5 dyne
The value of Planck\'s constant is
  • 6.63 × 10–34 J-sec
  • 6.63 × 1034 J/sec
  • 6.63 × 10–34 kg-m2
  • 6.63 × 1034 kg/sec
The unit of self-inductance is
  • Weber ampere
  • Weber–1 ampere
  • Ohm second
  • Farad
  • Tesla ampere–1
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
  • kgms–1
  • kgms–2
  • kgs–1
  • kgs
The unit of permittivity of free space ε0 is
  • Coulomb/newton-metre
  • Newton-metre2 / coulomb2
  • Coulomb2 / (newton-metre)2
  • Coulomb2 / newton-metre2
The temperature of a body on Kelvin scale is found to be X K. When it is measured by a Fahrenheit thermometer, it is found to be X°F. Then X is
  • 301.25
  • 574.25
  • 313
  • 40
The length, breadth and thickness of a block are given by l = 12 cm, b = 6 cm and t = 2.45 cm The volume of the block according to the idea of significant figures should be
  • 1 × 102 cm3
  • 2 × 102 cm3
  • 1.763 × 102 cm3
  • None of these

Physics-Units and Measurements-93497.png
  • Angle
  • Length
  • Mass
  • Time

Physics-Units and Measurements-93499.png
  • Both dimensionally and numerically correct
  • Neither numerically nor dimensionally correct
  • Dimensionally correct only
  • Numerically correct only
A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity η flowing per second through a tube of radius r and length 1 and having a pressure difference p across its end, is

  • Physics-Units and Measurements-93501.png
  • 2)
    Physics-Units and Measurements-93502.png

  • Physics-Units and Measurements-93503.png

  • Physics-Units and Measurements-93504.png
From the dimensional consideration, which of the following equation is correct ?

  • Physics-Units and Measurements-93506.png
  • 2)
    Physics-Units and Measurements-93507.png

  • Physics-Units and Measurements-93508.png

  • Physics-Units and Measurements-93509.png

Physics-Units and Measurements-93511.png
  • M0L1T–1 and T–1
  • M0L1T0 and T–1
  • M0L1T–1 and LT–2
  • M0L1T–1 and T

Physics-Units and Measurements-93513.png
  • MT–2
  • M2LT–3
  • ML3T–1
  • LT–3

Physics-Units and Measurements-93515.png
  • [ML5T–2]
  • [M–1L5T–2]
  • [ML–1T–2]
  • [ML–5T–2]

Physics-Units and Measurements-93517.png
  • [LT–1]
  • [L–1 T]
  • [L–2T2]
  • [L2T–2]
The dimensions of e2 / 4πε0hc, where e, ε0, h and c are electronic charge, electric permittivity, Planck\'s constant and velocity of light in vacuum respectively
  • [M0L0T0]
  • [M1L0T0]
  • [M0L1T0]
  • [M0L0T1]
If the radius of the sphere is (5.3 ± 0.1)cm. Then percentage error in its volume will be

  • Physics-Units and Measurements-93520.png
  • 2)
    Physics-Units and Measurements-93521.png

  • Physics-Units and Measurements-93522.png

  • Physics-Units and Measurements-93523.png
The pressure on a square plate is measured by measuring the force on the plate and the length of the sides of the plate. If the maximum error in the measurement of force and length are respectively 4% and 2%, the maximum error in the measurement of pressure is
  • 1%
  • 2%
  • 6%
  • 8%
Assuming the mass of Earth as 6.64 × 1024 kg and the average mass of the atoms that make up Earth as 40u (atomic mass unit), the number of atoms in the Earth are approximately
  • 1030
  • 1040
  • 1050
  • 1060

Physics-Units and Measurements-93527.png
  • 0.1%
  • 1%
  • 0.2%
  • 0.8%
The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed?
  • 11%
  • 8%
  • 5%
  • 1%
The random error in the arithmetic mean of loo observations is x; then random error in the arithmetic mean of 400 observations would be
  • 4x
  • 1/4 x
  • 2x
  • 1/2 x
In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. lithe smallest division of the main scale is half-a-degree (= 0.5°) then the least count of the instrument is
  • One minute
  • Half minute
  • One degree
  • Half degree
A body travels uniformly a distance of (13.8 ± 0.m in a time (4.0 ± 0.s. The velocity of the body within error limits is
  • (3.45 ± 0.ms–1
  • (3.45 ± 0.ms–1
  • (3.45 ± 0.ms–1
  • (3.45 ± 0.ms–1
In a vernier calipers, one main scale division is x cm and n division of the vernier scale coincide with (n – divisions of the main scale. The least count (in cm) of the callipers is

  • Physics-Units and Measurements-93532.png
  • 2)
    Physics-Units and Measurements-93533.png

  • Physics-Units and Measurements-93534.png

  • Physics-Units and Measurements-93535.png
In the context of accuracy of measurement and significant figures in expressing results of experiment, which of the following is/are correct?
(Out of the two measurements 50.14 cm and 0.00025 ampere, the first one has greater accuracy
(If one travels 478 km by rail and 397 m by road, the total distance traveled is 478 km.
  • Only (is correct
  • Only (is correct
  • Both are correct
  • None of them is correct
The relative density of material of a body is found by weighing it first in air and then in water. If the weight in air is (5.00 ± 0.newton and weight in water is (4.00 ± 0.newton. Then the relative density along with the maximum permissible percentage error is
  • 5.0 ± 11%
  • 5.0 ± 1%
  • 5.0 ± 6%
  • 1.25 ± 5%
The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with vernier callipers having least count 0.01 cm. Given that length is 5.0 cm, and radius is 2.0 cm. The percentage error in the calculated value of the volume will be
  • 1%
  • 2%
  • 3%
  • 4%

Physics-Units and Measurements-93539.png
  • 7.96%
  • 4.56%
  • 6.50%
  • 8.42%
According to Joule’s law of heating, heat produced H = I2 Rt, where I is current, R is resistance and t is time. If the errors in the measurement of I, R and t are 3%, 4% and 6% respectively then error in the measurement of H is
  • ± 17%
  • ± 16%
  • ± 19%
  • ± 25%
The percentage errors in the measurement of length and time period of a simple pendulum are 1% and 2% respectively. Then the maximum error in the measurement of acceleration due to gravity is
  • 8%
  • 3%
  • 4%
  • 6%
  • 5%

Physics-Units and Measurements-93543.png
  • A
  • B
  • C
  • D
If the length of rod A is 3.25 ± 0.01 cm and that of B is 4.19 ± 0.01 cm, then the rod B i s longer than rod A by
  • 0.94 ± 0.00 cm
  • 0.94 ± 0.01 cm
  • 0.94 ± 0.02 cm
  • 0.94 ± 0.005 cm
A physical quantity is given by X = MaLbTc. The percentage error in measurement of M, L and T are α, β and γ respectively. Then maximum percentage error in the quantity X is
  • aα + bβ + cγ
  • aα + bβ – cγ

  • Physics-Units and Measurements-93544.png
  • None of these

Physics-Units and Measurements-93545.png
  • 12%
  • 7%
  • 5%
  • 14%
In an experiment, to measure the height of a bridge by dropping stone into water underneath, if the error in measurement of time is 0.1s at the end of 2s, then the error in estimation of height of bridge will be
  • 0.49 m
  • 0.98 m
  • 1.96 m
  • 2.12 m
The values of two resistors are R1 = (6 ± 0.3)kΩ and R2 = (10 ± 0.2)kΩ The percentage error in the equivalent resistance when they are connected in parallel is
  • 5.125%
  • 2%
  • 10.125%
  • 7%
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
  • e1 – 2e2
  • e2 – e1
  • e1 + 2e2
  • e1 + e2
Choose the incorrect statement out of the following
  • Every measurement by any measuring instrument has some error
  • Every calculated physical quantity that is based on measured values has some error
  • A measurement can have more accuracy but less precision and vice versa
  • The percentage error is different from relative Error
0:0:1


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