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Units and Measurements question

2022 · 29 Jul · Shift 1 · Q48
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  5. /2022 · 29 Jul · Shift 1 · Q48

Units and Measurements question

2022 · 29 Jul · Shift 1 · Q48

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
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\rhoρ and radius of the drop is r, then T=Kρr3/S3/2\mathrm{T}=\mathrm{K} \sqrt{\rho \mathrm{r}^{3} / \mathrm{S}^{3 / 2}}T=Kρr3/S3/2​ is dimensionally correct, where K is dimensionless. 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.
  1. A
    Both (A) and (R) are true and (R) is the correct explanation of (A)
  2. B
    Both (A) and (R) are true but (R) is not the correct explanation of (A)
  3. C
    (A) is true but (R) is false
  4. D
    (A) is false but (R) is true
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