Question

deduce the dimensional formula of the following physical quantities 1. velocity gradient 2. Young's modulus 3. gravitational constant 4. surface tension 5. universal gas constant
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Answer 1

Answer:

Universal constant of gravitation G

Gravitational Force =G

r

2

m

1

m

2

⇒G=

m

1

m

2

F.r

2

[G]=

[M][M]

[MLT

−2

][L

2

]

[G]=M

−1

L

3

T

−2

2) Surface tension S

S=

length

Force

⇒

[L]

[MLT

−2

]

[S]=[ML

0

T

−2

]

3) Thermal conductivity K

Δt

ΔQ

=KA

Δx

ΔT

⇒K=−

Δt

ΔQ

×

ΔT

Δx

×

A

1

K=

time

energy

×

temperature

length

×

Area

1

=

T

ML

2

T

−2

×

K

L

×

L

2

1

[K]=[MLT

−3

K

−1

]

4) coefficient of viscosity n

n=

A(dv/dx)

F

⇒

[L

2

][LT

−1

]/[L]

[MLT

−2

]

[n]=ML

−1

T

−1

Answer 2

hope it will help you...