Question

Q.12. When 1 m, 1 kg and 1 min are taken as the fundamental units,
then the magnitude of the force is 36 units. So what will be the value of
this force in CGS system.
(a) 10' dyne
(b) 10-3 dyne (c) 3 x 10' dyne (d) 10' dyne​

Answer 1

Answer:

Correct option is

A.10 3dyne

Explanation:

As you know,

Dimension of force =[MLT −2 ]

∴Force=36units=36Kg.m/min 2

We know, 1kg=10 3 g

1m=10 =2 cm

1min=60sec

Now, force =

60sec= 2

36(10 3 g)(10 2 cm)

= 360036×10 =5

g.cm/sec 2

=10 3 g.cm/sec 2

=1000dyne [ because 1g.cm/sec 2 =1dyne]

Hence, Force=10 3

dyne in CGS.