## Units And Dimensions Quiz-

As per analysis for previous years, it has been observed that students preparing for NEET find Physics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Biology due to their medical background.

Furthermore, sections such as Physics are dominantly based on theories, laws, numerical in comparison to a section of Biology which is more of fact-based, life sciences, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1. Dimension of R is
•  ML2T-1
•  ML2T-3A-2
•  ML-1T-2
•  None of These
Solution
(b) R=V/I= [(ML2T-3A-1)/A]=[ML2T-3A-2]

Q2.Which of the following sets have different dimensions?
•  Pressure, Young’s modulus, Stress
•  Emf, Potential difference, Electric potential
•  Heat, Work done, Energy
•  Dipole moment, Electric flux, Electric field
Solution
Dipole momen=(charge) ×(distance) Electric flux=(electric field) ×(area)

Q3.  Choose the incorrect statement out of the following
•  Every measurement by any measuring instrument has some error
•  Every calculated physical quantity that is based on measured values has some error
•  A measurement can have more accuracy but less precision and vice versa
•  The percentage error is different from relative error
Solution
(d)

Q4. A public park, in the form of a square, has an area of (100±0.2) m2. The side of park is
•  (10±0.01)m
•  (10±0.1)m
•  (10.0±0.1)m
•  (10.0±0.2)m
Solution
Percentage error inside =1/2 [0.2/100×100]=0.1 Absolute error inside =0.1/100 ×10=0.01

Q5.Which of the following is dimensionless?
•  v2/rg
•  (v2 g)/r
•  vg/r
•  v2rg
Solution
(a) The velocity of a body at highest point of vertical circle is, v=√rg Or v2=rg Or v2/rg=constant Hence, v2/rg is dimensionless.

Q6. If E=energy, G= gravitational constant, I= impulse and M= mass, the dimensions of (GIM2)/E2 are same as that of
•  Time
•  Mass
• Length
•  Force
Solution
E=[ML2T-2],G=[M-1L3T-2],I=[MLT-1] ∴(GIM2)/E2 =([M-1L3T-2][MLT-1][M2])/[ML2T-2]2=[T]

Q7.The unit of percentage error is
•  Same as that of physical quantity
•  Different from that of physical quantity
•  Percentage error is unit less
•  Errors have got their own units which are different from that of physical quantity measured
Solution
C

Q8.The S.I. unit of gravitational potential is
•  J
•  TJ-kg-1
•  J-kg
•  J-kg-2
Solution
V= W/(m ) so, SI unit = joule/kg

Q9.Dimensions of charge are
•  M0L0 T-1A-1
•  M0L0 TA-1
•  T-1A
•  TA
Solution
Charge =Current×Time=[AT]

Q10. S=A(1-e-Bxt), where S is speed and x is displacement. The unit of B is
•  m-1s-1
•  m-2s
•  s-2
• s-1
Solution
(a) Bxt is unitless. ∴ Unit of B is m-1s-1

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