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    Physics CH1

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    manojgoyaljuly8

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    Physics CH1

    Uploaded by

    manojgoyaljuly8
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    Original Title

    Physics CH1 (2)

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    1 views1 page

    Physics CH1

    Uploaded by

    manojgoyaljuly8

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 1

    Worksheet–1

    1. Deduce the dimensional formulae for the following physical quantities :


    a) Gravitational constant
    b) Power
    c) Young’s modulus
    d) Coefficient of viscosity
    e) Surface tension

    2. Check the dimension consistency of the following equations:


    a) de-Broglie wavelength, 𝜆 = ; where m=mass , = velocity and h = Planck’s constant

    b) Escape velocity, =√ ; where m=mass of earth, G = Gravitational constant


    c) Energy E = mc2 ; where m=mass , c = speed of light

    3. Find the dimensions of a b in the relation: P = , where P is power, x is distance and t is time
    4. The Vander Wall’s equation for gas is ( ) (V – b) = RT .Determine the dimensions of a and b. hence
    write the SI units of a and b.
    5. The orbital velocity of satellite may depend on its mass m, the distance r from the center of the earth and
    acceleration due to gravity g. obtain an expression for its orbital velocity.
    6. Assuming that the critical velocity vc of a viscous liquid following through a capillary tube depends only
    upon the radius r of the tube, density and the coefficient of viscosity η of the liquid, find the expression for
    critical velocity.
    7. The depth x to which a bullet penetrates a human body depends upon (i) coefficient of elasticity η and (ii)
    kinetic energy Ek. By the method of dimensions, show that : x * +1/3
    8. A U – tube of uniform cross-section contains mercury upto a height h in either limb. The mercury in one
    limb is depressed a little and then released. Obtain an expression for the time period of oscillation assuming
    that T depends on h, and g.
    9. Calculate the dimensions of force and impulse taking velocity , density and frequency as basic quantities.
    (Ans. v-2 , 4 -3
    v )
    10. Find the dimensions of linear momentum and surface tension in terms of velocity , density and
    4 -3 3 -1
    frequency as fundamental quantities. (Ans. v , v )

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