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Dimensions and dimensional analysis

9 solved questions

Every question from past board papers on Dimensions and dimensional analysis, newest paper first. Open any question for its full worked answer.

NEET UG 2024 question paper (official, booklet S6)

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  1. The quantities which have the same dimensions as those of solid angle are :

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  2. A force defined by \(F=\alpha t^2+\beta t\) acts on a particle at a given time \(t\). The factor which is dimensionless, if \(\alpha\) and \(\beta\) are constants, is:

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NEET UG 2022 question paper (official, booklet R6)

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  1. The dimensions \([\text{MLT}^{-2}\text{A}^{-2}]\) belong to the :

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  2. Match List - I with List - II :

    List - I: (a) Gravitational constant (G) (b) Gravitational potential energy (c) Gravitational potential (d) Gravitational intensity

    List - II: (i) \([L^{2}T^{-2}]\) (ii) \([M^{-1}L^{3}T^{-2}]\) (iii) \([LT^{-2}]\) (iv) \([ML^{2}T^{-2}]\)

    Choose the correct answer from the options given below :

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NEET UG 2021 question paper (official, booklet M4)

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  1. If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

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  2. If E and G respectively denote energy and gravitational constant, then \(\frac{E}{G}\) has the dimensions of :

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NEET UG 2020 question paper (official, booklet E1)

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  1. Dimensions of stress are :

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NEET UG 2017 question paper (official, booklet B)

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  1. A physical quantity of the dimensions of length that can be formed out of \(c\), G and \(\frac{e^2}{4\pi\epsilon_0}\) is [\(c\) is velocity of light, G is universal constant of gravitation and e is charge] :

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NEET UG 2016 Phase 2 question paper (official, booklet ZZ)

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  1. 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?

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