Question

if velocity (v), acceleration (a) and time (t) are taken as the initial quantity, then determine the dimension of young's coefficient.​

Answer 1

Explanation:

Since [Y]=[ML −1T−2]

Here,

[Y]αV

a

A

b

F

c

∴ [M

1

L

−1

T

−2

]=K[LT

−1

]

a

[LT

−2

]

b

[MLT

−2

]

Hence on comparing;

a=−4

b=2

c=1

Hence Y=FA

2

V

−4