Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is \rho and radius of the drop is r , then {\T}= {\K} \sqrt{{\rho {\r}^3 }/ {{\S}^{3 \/ 2}}} is dimensionally correct, where {\K} isdimensionless. Reason (R) : Using dimensional analysis we get R.H.S. having different dimension than that of time period. In the light of above statements, choose the correct answer from the options given below. [29-Jul-2022-Shift-1]

Correct Answer is : (A) is false but (R) is true

Both (A) and (R) are true and (R) is the correct explanation of (A)

Both (A) and (R) are true but (R) is not the correct explanation of (A)

( {\A}) is true but (R) is false

JEE Mains 29-July-2022 Shift 1 Solved Paper

Section: Physics

Question : 31 of 90

Marks: +1, -0

Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is ρ and radius of the drop is r , then T=K√

ρr3

S3∕2

is dimensionally correct, where K isdimensionless.
Reason (R) : Using dimensional analysis we get R.H.S. having different dimension than that of time period.
In the light of above statements, choose the correct answer from the options given below.

[29-Jul-2022-Shift-1]

Both (A) and (R) are true and (R) is the correct explanation of (A)
Both (A) and (R) are true but (R) is not the correct explanation of (A)
(A) is true but (R) is false
(A) is false but (R) is true

Validate

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