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In a particular system the units of leng...

In a particular system the units of length, mass and time are chosen to be `10 cm, 10 g` and `0.1 s` respectively. The unit of force in this system will be equal to

A

0.1 N

B

1 N

C

10 N

D

100 N

Text Solution

Verified by Experts

The correct Answer is:
A
`because ` [ force] = `[MLT^(-2)]`
`therefore` Unit of force = `(10 g) (10 cm) (0.1 s)^(-2)`
`" "= (10xx 10^(-3) kg)(10 xx 10^(-2) m) (10^(-1)s)^(-2)`
`" "= 0.1 kgms^(-2)`
`" " = 0.1 N`
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Knowledge Check

  • In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 s respectively. The unit of force in this system will be equivalent to

    A
    0.1 N
    B
    1N
    C
    10N
    D
    100N

  • In a particular measurement system, the units of length, mass and time are chosen as 10 cm, 10 g and 0.1 s respectively. What is the unit of force in this system in terms of the units in SI system?

    A
    0.1 N
    B
    1 N
    C
    0.5 N
    D
    5 N

  • 1 dyne (a unit of force in CGS system) equals to

    A
    `10^(3) g cm//s^(2)`
    B
    `10^(-3) g cm//s^(2)`
    C
    `10^(5) kg cm//s^(2)`
    D
    `10^(-5) kg cm//s^(2)`

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