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If the unit of force energy and velocity...

If the unit of force energy and velocity are 20 N, 200J and 5m//s, find the units of mass, length and time.

Text Solution

AI Generated Solution

To solve the problem, we need to find the units of mass (M), length (L), and time (T) given the units of force, energy, and velocity. Let's go step by step. ### Step 1: Express Force in Terms of M, L, and T Given: \[ \text{Force} = 20 \, \text{N} \] The dimensional formula for force is: \[ \text{Force} = MLT^{-2} \] ...
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Knowledge Check

  • In a system of units, the units of force and energy are 10 N and 50 J respectively. What is the unit of length in this system?

    A
    3 m
    B
    5 m
    C
    7 m
    D
    10 m
  • If the each of the units of force velocity and frequency are doubled how many times has the unit of mass become ?

    A
    doubled
    B
    four times
    C
    halved
    D
    one-fourth
  • The units of force, velocity and energy are 100 "dyne", 10 cm s^(-1) and 500erg respectively. The units of mass, length and time are

    A
    `5g, 5cm, 5s`
    B
    `5g, 4cm, 5s`
    C
    `0.5g, 5cm, 5s`
    D
    `5g, 0.5cm, 5s`
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    The units of force, velocity and energy are 100 dyne, 10 cm s^(-1) and 500 erg respectively . The units of mass, length and time are

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