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The S.I. unit of force is :
$
  (a){\text{ dyne}} \\
  (b){\text{ gram - weight}} \\
  (c){\text{ newton}} \\
  (d){\text{ none of these}} \\
 $

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Answer
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Hint: In this question use the relation between force, mass and acceleration. To get the required SI unit as we know that that force is ${\text{mass}} \times {\text{acceleration}}$.

Complete step-by-step answer:

As we know one newton is the force needed to accelerate one kilogram of mass at the rate of one meter per second squared in the direction of the applied force.
In more formal terms, Newton's second law of motion states that the force exerted by an object is multiplication of mass and acceleration of that object, namely:
F = ma.
And it is first discovered by scientist Isaac Newton so the S.I unit of force is named on him which is Newton.
So the S.I unit of force is Newton.
Hence option (c) is correct.

Note: SI units is known as international systems of units, it is a system of physical units based upon the meter, kilogram, second, ampere, kelvin, candela and mole together with a set of prefixes to indicate the multiplication or division by a power of 10.