Units, Dimensions & Errors · JEE Main previous year questions

2012 2 questions

1. Q312012 · 12 May 2012 · Shift 1

   A student measured the diameter of a wire using a screw gauge with the least count $0.001\mathrm{cm}$ and listed the measurements. The measured value should be recorded as

   1. A.$5.3200\mathrm{cm}$
   2. B.$5.3\mathrm{cm}$
   3. C.$5.32\mathrm{cm}$
   4. D.$5.320\mathrm{cm}$
   Show answer

   Answer: D

2. Q312012 · 7 May 2012 · Shift 1

   Given that $K=$ energy, $V=$ velocity, $T=$ time. If they are chosen as the fundamental units, then what is dimensional formula for surface tension?

   1. A.$[K{V}^{-2}{T}^{-2}]$
   2. B.$[K^2{V}^2{T}^{-2}]$
   3. C.$[K^2{V}^{-2}{T}^{-2}]$
   4. D.$[K{V}^2{T}^2]$
   Show answer

   Answer: A