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[L^(-1)M^(1)T^(-2)] are the dimensions o...

`[L^(-1)M^(1)T^(-2)]` are the dimensions of

A

joule constant

B

gravitational constant

C

pressure

D

force

Text Solution

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The correct Answer is:
c
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In expression A=(BC^2)/(2) , the dimensions of A and C are [ML^(-1)T^(-2)]" and "[MLT^(-3)A^(-1)] respectively. Find the dimensions of B and identify it.

The dimensional formula for a physical quantity x is [M^(-1)L^(3)T^(-2)] . The errors in measuring the quantities M ,L and T respectively are "1%" each.Then maximum percentage error that occurs in measuring the quantity 'x' is

Knowledge Check

  • Two physical quantities are represented by P and Q . The dimensions of their product is [M^(2) L^(-4) T^(-4) I^(-1)] and dimensions of their ratio is [I^(-1)] . Then P and Q respectively are

    A
    magnetic flux and Torque acting on a magnet
    B
    torque and Magnetic flux.
    C
    magnetic moment and Pole strength
    D
    magnetic moment and Magnetic permeability

  • [M^(1) L^(2) T^(-3) A^(-2)] si the dimensional formula of:

    A
    electric resistance
    B
    capacity
    C
    electric potential
    D
    specific resistance

  • ML^(3) T^(-1) Q^(-2) is dimension of

    A
    Resistivity
    B
    Conductivity
    C
    Resistance
    D
    None of these

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    Explore conceptually related problems

    If E and G respectively denote energy and gravitational constant,then (E)/(G) has the dimensions of: (1) [M^(2)][L^(-2)][T^(-1)] (2) [M^(2)][L^(-1)][T^(0)] (3) [M][L^(-1)][T^(0)] (4) [M][L^(0)][T^(0)]

    [M^1 L^2 T^(-2)] is dimensional formula of

    Statement-I : If x and y are the distance along x and y axes respectively then the dimensions of (d^(3)y)/(dx^(3)) is M^(0)L^(-2) T^(@) Statement-II : Dimensions of int_(a)^(b) ydx is M^(0)L^(2)T^(@)

    The expression [M^(1)L^(2)T^(-2)] represents

    Assertion: The dimensional formula of surface energy is [M^(1)L^(2)T^(-2)] . ltBrgt Reason: Surface energy has same dimensions as that of potential energy.

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