Units and Measurement

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Q1. Match the units mentioned in List-I with the units in List-II.
List-I List-II
(a) H/s (i) s2
(b) H×A (ii) Wb
(c) H×F (iii) s
(d) \(\Omega\)×F (iv) \(\Omega\)

 

  • (a)–(ii), (b)–(iv), (c)–(i), (d)–(iii)
  • (a)–(iv), (b)–(ii), (c)–(i), (d)–(iii)
  • (a)–(iv), (b)–(ii), (c)–(iii), (d)–(i)
  • (a)–(ii), (b)–(iii), (c)–(iv), (d)–(i)
Q2.

If the error in measurement of the radius of a sphere is $0.1\%,$ then the error in its volume will be:

  • $0.3\%$
  • $0.4\%$
  • $0.5\%$
  • $0.6\%$
Exam: AIPMT – 1999
Q3.

Which, of the following pair does not have equal dimensions?

  • Energy and torque
  • Force and impulse
  • Angular momentum and Planck’s constant
  • Modulus of Elasticity and pressure
Exam: AIPMT – 2000
Q4.

The dimension of Planck’s constant equals to that of:

  • Energy
  • Momentum
  • Angular momentum
  • Power
Exam: AIPMT – 2001
Q5.

The universal gravitational constant is dimensionally represented as:

  • $\left[ML^2T^{-1}\right]$
  • $\left[M^{-2}L^3T^{-2}\right]$
  • $\left[M^{-2}L^2T^{-1}\right]$
  • $\left[M^{-1}L^3T^{-2}\right]$
Exam: AIPMT – 2004
Q6.

The ratio of the dimension of Planck’s constant and that of the moment of inertia is the dimension of:

  • Velocity
  • Angular momentum
  • Time
  • Frequency
Exam: AIPMT – 2005
Q7.

The velocity  $v$  of a particle at time $t$ is given by  $v=at+\dfrac{b}{t+c}$ , where  $a,$ $b$  and  $c$  are constants. The dimensions of  $a,$ $b$  and  $c$  are respectively:

  • $\left[{LT}^{-2}\right],[{L}] \text { and }[{T}]$
  • ${\left[{L}^2\right],[{T}] \text { and }\left[{LT}^2\right]}$
  • ${\left[{LT}^2\right],[{LT}] \text { and }[{L}]}$
  • ${[{L}],[{LT}] \text { and }\left[{T}^2\right]}$
Exam: AIPMT – 2006
Q8.

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, length L, time T, and current I, would be:

  • $[ML^{2}T^{-3}I^{-1}]$
  • $[ML^{2}T^{-2}]$
  • $[ML^{2}T^{-1}I^{-1}]$
  • $[ML^{2}T^{-3}I^{-2}]$
Exam: AIPMT – 2007
Q9.

Which two of the following five physical parameters have the same dimensions? 

(A) Energy density 
(B) Refractive index 
(C) Dielectric constant 
(D) Young’s modulus 
(E) Magnetic field

Choose the correct option from the given ones:

  • (B) and (D)
  • (C) and (E)
  • (A) and (D)
  • (A) and (E)
Exam: AIPMT – 2008
Q10.

If the error in the measurement of the radius of a sphere is 2%, then the error in the determination of the volume of the sphere will be:

  • 4%
  • 6%
  • 8%
  • 2%
Exam: AIPMT – 2008
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