UPSEE Solved Model Paper 2

t α raabTc
[T] = [L]a[ML−3]b[MT−2]c
[T] = [L]a−3b[M]b+c[T]−2c
By the principle of Homogeneity
- 2c = 1
c = −

1

2

b + c = 0
b−

1

2

= 0
b =

1

2

a - 3b = 0
a−

3

2

= 0
a =

3

2

let k be the dimensional constant
t = kr

3

2

a

1

2

T−

1

2