Question

Which among the following relations can be deduced from dimensional analysis? (Symbols have their usual meaning)

t = 2π*√l/g

s = ut +at

Both (1) and (2)

Neither (1) nor (2)​

Answer 1

Answer:

are u writing aiats of 1st year bipc ?

Answer 2

The correct option for the above question is (D), that is both the equation 1 and 2 can be calculated from the dimensional analysis.

1. For the equation, t = 2π*√l/g.

• t is the time and has the dimension of [T], and l is the length and has the dimension of [L], and the g is the acceleration due to gravity and has a dimension of [LT⁻²].
• Since the ratio of length and gravity is under the under root, therefore it will come out to be the dimension of time which is [T]

      2. For the equation, s = ut +at²

• s is the distance and has a dimension of [L], u is the initial velocity, and has a dimension of [LT⁻¹], t is the time and has a dimension of [T], and a is the acceleration and has a dimension of [LT⁻²].
• On dividing and multiplying the dimensional units we get the dimension of distance which is [L].