Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Units and Measurement question

2006 · Q175
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /NEET
  3. /Physics
  4. /Units and Measurement
  5. /2006 · Q175

Units and Measurement question

2006 · Q175

NEETPhysicsUnits and MeasurementMCQ+4 / −1
The velocity v of a particle at time t is given by v = at + bt+c{b \over {t + c}}t+cb​, where a, b and c are constants. The dimensions of a, b and c are
  1. A
    [L], [LT] and [LT−-−2]
  2. B
    [LT−-−2], [L] and [T]
  3. C
    [L2], [T] and [LT−-−2]
  4. D
    [LT−-−2], and [LT] and [L]
View written solutionFree

Correct answer: B

Given, v = at + bt+c{b \over {t + c}}t+cb​

Dimension of at = Dimension of velocity v

∴\therefore∴ [at] = [LT-1]

⇒\Rightarrow⇒ [a] = [LT−1][T]{{\left[ {L{T^{ - 1}}} \right]} \over {\left[ T \right]}}[T][LT−1]​ = [LT-2]

As c is added to t,

∴\therefore∴ [c] = [T]

[b][T]{{\left[ b \right]} \over {\left[ T \right]}}[T][b]​ = [LT-1]

∴\therefore∴ [b] = [L]

PreviousNext

More from Units and Measurement

  • The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of2005 · MCQ
  • The unit of permittyvity of free space, ε0​, is2004 · MCQ
  • The dimensions of universal gravitational constant are2004 · MCQ
  • The dimensions of Planck's constant equals to that of2001 · MCQ
  • Which pair do not have equal dimensions ?2000 · MCQ
  • A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A. It is filled with a gas of density ρ and takes a spherical shape of radius R. When the gas is…2025 · MCQ
  • A physical quantity P is related to four observations a,b,c and d as follows: P=a3b2/cd​ The percentage errors of measurement in a,b,c and d are 1%,3%,2%, and 4% respectively. The percentage…2025 · MCQ
  • Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V.S.D.) are equal to its 9 Main Scale Divisions (M.S.D.). The least division in the M.S. is 0.1 cm and…2025 · MCQ