1.

    The time period of a simple pendulum is given by T=2πlg+kxT = 2\pi\sqrt{\frac{l}{g}} + kx, where ll is the length, gg is acceleration due to gravity, and xx is displacement. The dimensions of kk are:

    A

    [L⁻¹T]

    B

    [LT⁻¹]

    C

    [L⁻¹T⁻¹]

    D

    [L⁻²T²]

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Hard
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Principle of Homogeneity, Dimensional Analysis

    Related Questions

    1.

    If the unit of force and length each be increased by four times, then the unit of energy is increased by

    A

    16 times

    B

    8 times

    C

    2 times

    D

    4 times

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Energy, Force, Length, Units

    2.

    If the unit of length and force be increased four times, then the unit of energy is

    A

    Increased 4 times

    B

    Increased 8 times

    C

    Increased 16 times

    D

    Decreased 16 times

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :energy, force, length, units, dimensional analysis

    3.

    Which relation is wrong

    A

    λ = h/p

    B

    E = mc^2

    C

    E = 1/2mv

    D

    E = hv

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Understanding
    🎯Difficulty :Easy
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :unit conversion, energy units, length units, force units

    4.

    Unit of stress is

    A

    N/m

    B

    N-m

    C

    N/m2N/{m^2}

    D

    N−m2N - {m^2}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :Stress, Units, Force, Area

    5.

    Unit of stress is

    A

    N/m

    B

    N-m

    C

    N/m2N/{m^2}

    D

    N−m2N - {m^2}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :stress, units, force, area

    6.

    The unit of e.m.f. is

    A

    Joule

    B

    Joule-coulomb

    C

    Volt-coulomb

    D

    Joule/coulomb

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Remembering
    🎯Difficulty :Easy
    ⚡ Time Required :1 mins
    🔄Ncert Concepts :electromotive force, energy, charge, units

    7.

    The damping force of an oscillating particle is observed to be proportional to velocity. The constant of proportionality can be measured in

    A

    Kg s−1{s^{ - 1}}

    B

    Kg S

    C

    Kg ms−1{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    Kg m−1s−1{{\rm{m}}^{ - 1}}{{\rm{s}}^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Damping force, Units of measurement, Dimensional analysis

    8.

    If 1 g cm s−1=x{{\rm{s}}^{ - 1}} = x newton-second, then the number x is equal to

    A

    1imes10−31 imes {10^{ - 3}}

    B

    3.6imes10−33.6 imes {10^{ - 3}}

    C

    1imes10−51 imes {10^{ - 5}}

    D

    6imes10−46 imes {10^{ - 4}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :unit conversion, mass, length, time, force

    9.

    What will be the unit of time in that system in which the unit of length is metre, unit of mass is kg and unit of force is kg wt?

    A

    (9.8)2 sec⁡{\left( {9.8} \right)^2}\,\sec

    B

    9.8 sec

    C

    9.8 sec⁡\sqrt {9.8} \,\sec

    D

    19.8 sec⁡\frac{1}{{\sqrt {9.8} }}\,\sec

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :3 mins
    🔄Ncert Concepts :Units and Dimensions, Force, Newton's Second Law

    10.

    The damping force of an oscillating particle is observed to be proportional to velocity. The constant of proportionality can be measured in

    A

    Kg s−1{s^{ - 1}}

    B

    Kg S

    C

    Kg ms−1{\rm{m}}{{\rm{s}}^{ - 1}}

    D

    Kg m−1s−1{{\rm{m}}^{ - 1}}{{\rm{s}}^{ - 1}}

    Question Tags
    📚 Subject:Physics
    📑 Chapter:Units And Measurement
    🎯Topic:Priniciple Of Homoginity
    🎓 Ncert Level:Application
    🎯Difficulty :Medium
    ⚡ Time Required :2 mins
    🔄Ncert Concepts :Damping force, Units of measurement, Dimensional analysis

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