Measurement MCQs for NEET — Physics Questions with Answers

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If NaCl is doped with 10-4 mol % of SrCl2, the concentration of cation vacancies will be (NA = 6.023 x 1023 mol-1)                                                                             

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Explanation

(c) Doping of NaCl with 10-4 mol % of SrCl2 means, 100 moles of NaCl are doped with 10-4  mol of SrCl2.

... 1 mol of NaCl is doped with

                      SrCl2 = 10-4/100 = 10-6 mole

 As each Sr2+ ion introduces one cation vacancy.

... Concentration of cation vacancies

                             = 10-6 mol/mol of NaCl

                             = 10-6 x 6.023 x 1023 mol-1

                             = 6.023 x 1017 mol-1

                      

CsCl crystallises in body-centred cubic lattice. If 'a' is its edge length then which of the following expressions is correct?

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Explanation

(C) For bcc if edge length is a, then 

rCs+ + rCl- = (3/2)*a

Total volume of atoms present in a face centred cubic unit cell of a metal is ( r is atomic radius):

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Explanation

(D) Volume of atoms in cell = 4/3 πr3 x n (n =4 for fcc)

=  4/3 x πr3 x 4 = 16/3 πr3

The mass of a unit cell of CsCl corresponds to:-

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Explanation

(c) A unit cell of CsCl having bcc structure consists of 8 atoms at the corner and one atom at centre.

Thus, no. of Cl- = 8x1/8 =1 and no. of Cs+ =1x1=1

Thus, no. of CsCl unit per unit cell = 1

NEET 2023

A metal wire has mass $(0.4 \pm 0.002)\ \text{g}$, radius $(0.3 \pm 0.001)\ \text{mm}$ and length $(5 \pm 0.02)\ \text{cm}$. The maximum possible percentage error in the measurement of density will nearly be:

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Explanation

$\dfrac{\Delta\rho}{\rho} = \dfrac{\Delta m}{m} + 2\dfrac{\Delta r}{r} + \dfrac{\Delta L}{L} = 0.5\% + 0.67\% + 0.4\% \approx 1.6\%$.

NEET 2023

The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:

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Explanation

Unpredictable, fluctuating sources of error are by definition random errors.

NEET 2024

In a vernier calipers, $(N + 1)$ divisions of vernier scale coincide with $N$ divisions of main scale. If 1 MSD represents 0.1 mm, the vernier constant (in cm) is:

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Explanation

LC $= 1\,\text{MSD}/(N+1) = 0.1/(N+1)$ mm $= 1/[100(N+1)]$ cm.

NEET 2024

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

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Explanation

Solid angle, strain and plane angle are all dimensionless.

NEET 2024

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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Explanation

$[\alpha] = MLT^{-4}$, $[\beta] = MLT^{-3}$, so $\alpha t/\beta$ is dimensionless.

NEET 2025

A physical quantity $P$ is related to four observations $a$, $b$, $c$ and $d$ as follows: $P = \dfrac{a^3 b^2}{c\sqrt{d}}$. The percentage errors of measurement in $a$, $b$, $c$ and $d$ are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity $P$ is:

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Explanation

$\dfrac{\Delta P}{P} = 3(1\%) + 2(3\%) + 1(2\%) + \tfrac12(4\%) = 3+6+2+2 = 13\%$.

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