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In a particular system, the units of length, mass and time are chosen to be 10cm,10g and 0.1s respectively. The unit of force in this system will be equal to:
(A)0.1N
(B)1N
(C)10N
(D)100N

Answer
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Hint: Here we have to find out the unit of force for the given data. First we have to convert the given data into the required terms. Also, we have to use the formula for finding the unit of force. On doing some simplification we get the required answer.

Formula used:
Force=length×masstime2

Complete step by step answer:
It is given in the question that the value of the length is 10cm which we have to convert to metre
Also, we know that 100cm=1m,
Now we convert it into, 10cm=10100=0.1m,
The value of mass is 10gmwhich we have to convert to kilogram and we know that 1000g=1kg,
So we can change it as, 10g=101000
Take the denominator term 1000=103 we can write it as, 10g=10103
10×103
Let us subtract the power terms we get
102kg
The value of time is 0.1s
Therefore applying the value of Force=length×masstime2 and putting the values of length mass and time we get-
Force=0.1×102(0.1)2
Here we can split it as and we get
103102
Cancelling the same terms and we get the remaining terms,
101
Now the above value we get we can write it as,
110
Let us divide the terms we get,
0.1N
Thus the required unit of force will be equal to 0.1N.

Hence, the correct option is (A).

Note: It is a simple question where by applying the formula we can solve it. But the main issue arises with calculation because many of us make mistakes in this type of calculation as there is application of inverse also.
Force makes a body to move from rest.
It also helps to increase the speed of a moving body.
It helps to change the direction of a moving body.
It can bring a moving body to rest.
It is a vector quantity.
The basic formula which is used for finding out force is mass x acceleration.