wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

What are the dimensions of a and b in the relation F=ax+bt2 where F is force, x is distance and t is time?

A
[ML12T2], [MLT4]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
[ML32T2], [MLT2]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
[M2L12T12], [M3L12T2]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
[M3L12T2], [ML32T2]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A [ML12T2], [MLT4]
Applying principle of homogeneity, every term in an algebraic equation of physical quantities must have the same unit.

Thus, each term in the equation must have the dimensions of force.

[MLT2]=[a][L1/2]=[b][T2]

[a]=[ML1/2T2]
[b]=[MLT4]

flag
Suggest Corrections
thumbs-up
35
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dimensional Analysis
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon