NEET Physics - New - Physical World and Measurement

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Question - 1

A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of -0.004 cm, the correct diameter of the ball is ?

  • A 0.521 cm
  • B 0.529 cm
  • C 0.053 cm
  • D 0.525 cm

Question - 2

A physical quantity of the dimensions of length  that can be formed out of c, G and  \(\cfrac { { e }^{ 2 } }{ 4\pi { \varepsilon }_{ 0 } } \\ \) is :  [c is velocity of light, G is universal constant of gravitation, e is charge]

  • A \({ e }^{ 2 }{ \left[ { G }\frac { { e }^{ 2 } }{ 4\pi { \varepsilon }_{ 0 } } \right] }^{ { 1 }/{ 2 } }\)
  • B \(\frac { 1 }{ { c }^{ 2 } } { \left[ \frac { { e }^{ 2 } }{ { G }4\pi { \varepsilon }_{ 0 } } \right] }^{ { 1 }/{ 2 } }\)
  • C \(\frac { 1 }{ { c }^{ 2 } } { G }{ \frac { { e }^{ 2 } }{ 4\pi { \varepsilon }_{ 0 } } }\)
  • D \(​​​​\frac { 1 }{ { c }^{ 2 } } { \left[ { G }\frac { { e }^{ 2 } }{ 4\pi { \varepsilon }_{ 0 } } \right] }^{ { 1 }/{ 2 } }\)

Question - 3

Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length?

  • A \( \frac { \sqrt { hG } }{ { C }^{ { 3 }/{ 2 } } } \)
  • B \( \frac { \sqrt { hG } }{ { C }^{ { 5 }/{ 2 } } } \)
  • C \( \frac { \sqrt { hc } }{ { G}}\)
  • D \(\frac { \sqrt { Gc } }{ { h }^{ { 3 }/{ 2 } } } \)

Question - 4

If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are:

  • A \( [F V^{-1} T^{-1}]\)
  • B \( [FV^{-1}T]\)
  • C \( [F V T^{-1}]\)
  • D \( [FVT^{-2}]\)

Question - 5

In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows:
\(P = \frac {a^3b^2}{cd}\) Percentage error in P is :

  • A 14%
  • B 10%
  • C 7%
  • D 4%

Question - 6

The density of material in CGS system of unit is 4 g/\(cm^3\). In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be :

  • A 0.4
  • B 40
  • C 400
  • D 0.04

Question - 7

The dimensions of Planck's constant are same as :

  • A Energy
  • B Power
  • C Momentum
  • D Angular momentum

Question - 8

The dimension of \(\frac {1}{2} { \varepsilon }_{ 0 } E^2\) , where \({ \varepsilon }_{ 0 }\) is permittivity of free space and E is electric field, is :

  • A \(ML^{2}T^{-2}\)
  • B \(ML^{-1}T^{-2}\)
  • C \(ML^{2}T^{-1}\)
  • D \(MLT^{-1}\)

Question - 9

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

  • A 4%
  • B 6%
  • C 8%
  • D 2%

Question - 10

Dimension of resistance in an electric circuit in terms of dimensions of mass M, of length L, of time T and of current I, would be :

  • A \(ML^{2}T^{-2}\)
  • B \(ML^{2}T^{-1}I^{-1}\)
  • C \(ML^{2}T^{-3}I^{-2}\)
  • D \(ML^{2}T^{3}I^{-1}\)