wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the dimensional formulae of the following quantities:
1. the universal constant of gravitational G
2. the surface tension S,
3. the thermal conductivity k and
4. the coefficient of viscosity η

Open in App
Solution

Universal constant of gravitation G

Gravitational Force =Gm1m2r2G=F.r2m1m2

[G]=[MLT2][L2][M][M]

[G]=M1L3T2

2) Surface tension S

S=Forcelength[MLT2][L]

[S]=[ML0T2]


3) Thermal conductivity K

ΔQΔt=KAΔTΔxK=ΔQΔt×ΔxΔT×1A


K=energytime×lengthtemperature×1Area

=ML2T2T×LK×1L2

[K]=[MLT3K1]

4) coefficient of viscosity n

n=FA(dv/dx)[MLT2][L2][LT1]/[L]

[n]=ML1T1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dimensional Analysis
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon