Question

the velocity of a particle falling freely from a height h is given by v is equal to under root 2gh examine the dimensional balance of the equation where the is acceleration due to gravity​

Answer 1

Explanation:

v

2

−u

2

=2gx

v=18 kmph

g=1000 cm/s

2

x=120 cm

We need to bring all units in CGS units.

So, v=18 kmph=

60×60

18×10

5

sec

cm

=(500) cm/sec

u

2

=v

2

−2gx

=(500)

2

−2×1000×120

=250000−240000

u

2

=10000 (cm/sec)

2

u=100 cm/sec

u=1 m/sec

hope it's helpful

thank you