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If the dimension of a physical quantity ...

If the dimension of a physical quantity are given by `M^a L^b T^c,` then the physical quantity will be

A

Force if a = 0, b = -1, c =-2

B

Pressure if a = 1, b =-1, c = -2

C

Velocity if a =1, b =0, c=-1

D

Acceleration if a = 1, b=1, c=-2

Text Solution

Verified by Experts

The correct Answer is:
B

[Force ] = `[MLT^(-2)]`
[Pressure] = `[ML^(-1)^(-2)]`
[Velocity] = `[LT^(-1)]`
[Acceleration] = `[LT^(-2)]`
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Knowledge Check

  • If the dimensions of a physical quantity are given by M^(a)L^(b) T^(c) , then the physical quantity will be

    A
    velocity if a 1, b = 0, c =-1
    B
    acceleration if a = 1, b= 1, c = -2
    C
    force if a = 0, b = - 1, c = - 2
    D
    pressure if a = 1, b =-1, c = -2
  • If the dimensions of a physical quantity are given by M^(a)L^(b)T^(c) , then the physical quantity will be :

    A
    Force if `a = 0, b = –1, c = – 2 `
    B
    Pressure if `a = 1, b = – 1, c = – 2 `
    C
    Velocity if `a = 1, b = 0, c = – 1`
    D
    Acceleration if `a = 1, b = 1, c = – 2`
  • If the dimensions of a physical quantity are given by [L^(a),M^(b)T^(c)] ,then the physical quantity will be

    A
    force ,if a = -1 , b=0,c=- 2
    B
    pressure, if a=-1,b=1,c=-2
    C
    velocity , if a =1, b=0,c=1
    D
    acceleration , if a=1,b=1,c=2
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