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NEET • PHYSICS • UNITS & MEASUREMENTS

Units & measurements practice · Mixed difficulty

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Showing 181-210 of 384 questions

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181 Medium

181 of 384

Analyzing +4 | -1

If L,C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency

View answer and explanation

Correct option: D

\frac{C}{L}

Option D (

\frac{C}{L}

) is correct because the ratio of capacitance to inductance does not have the dimensions of frequency (which is inverse of time).

182 Easy

182 of 384

Understanding +4 | -1

Dimensions of kinetic energy are

View answer and explanation

Correct option: A

M{L^2}{T^{ - 2}}

Option A (

M{L^2}{T^{ - 2}}

) is correct because kinetic energy is 1/2 * mass * velocity², and its dimensional formula is derived from that.

183 Easy

183 of 384

Application +4 | -1

Three pieces of silver have masses 2.3 kg, 41.15 g and 30.19 g. The total mass of correct significant figures is

View answer and explanation

Correct option: D

2.4 kg

Option D (2.4 kg) is correct because when adding numbers with different decimal places, the result should be rounded to the least number of decimal places.

184 Easy

184 of 384

Application +4 | -1

{N}

division on main scale of a vernier callipers coincide with

(N+1)

division of the vernier scale if each division on main scale is of "

a

" units, least count of instrument is

View answer and explanation

Correct option: B

\frac{a}{N+1}

Option B (

\frac{a}{N+1}

) is correct because the least count is calculated by finding the difference between one main scale division and one vernier scale division.

185 Easy

185 of 384

Understanding +4 | -1

Assertion: In the measurement of physical quantities direct and indirect methods are used.

Reason : The accuracy and precision of measuring instruments along with errors in measurements should be taken into account, while expressing the result.

View answer and explanation

Correct option: A

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Option A is correct because both the assertion and reason are correct, and the reason correctly explains why direct and indirect methods are used in measurement.

186 Medium

186 of 384

Understanding +4 | -1

The dimensions of

1/2\,\varepsilon {E^2}

are same as

View answer and explanation

Correct option: A

Energy density (energy per unit volume)

Option A (Energy density (energy per unit volume)) is correct because the expression

1/2 \epsilon E^2

represents the energy density stored in an electric field.

187 Medium

187 of 384

Understanding +4 | -1

Inductance L can be dimensionally represented as

View answer and explanation

Correct option: A

M{L^2}{T^{ - 2}}{A^{ - 2}}

Option A (

M{L^2}{T^{ - 2}}{A^{ - 2}}

) is correct because the energy stored in an inductor is given by

E = (1/2)LI^2

, so

L = (2E)/I^2

188 Easy

188 of 384

Understanding +4 | -1

Which of the following statement(s) is/are correct?
I. A screw gauge having a smaller value of pitch has greater accuracy.
II. The least count of screw gauge is directly proportional to the number of divisions on circular scale.

View answer and explanation

Correct option: A

Only I

Option A is correct because a smaller pitch in a screw gauge means the screw advances less per rotation, leading to higher accuracy.

189 Medium

189 of 384

Application +4 | -1

One  light  year  is defined as the distance travelled by light in one year. The speed of light is

3 \times {10^8}\mathrm{m}{\mathrm{s}^{ - 1}}

. The same in metre is

View answer and explanation

Correct option: B

9.461 \times {10^{15}}m

Option B (

9.461 \times {10^{15}}m

) is correct because it is the product of the speed of light and the number of seconds in a year.

190 Hard

190 of 384

Application +4 | -1

The period of oscillation of a simple pendulum in the experiment is recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s and 2.80 s respectively. The average absolute error is

View answer and explanation

Correct option: B

0.11 s

Option B (0.11 s) is correct because it represents the average of the absolute differences between each measurement and the mean value.

191 Medium

191 of 384

Application +4 | -1

The dimensions of universal gravitational constant are

View answer and explanation

Correct option: B

{M^{ - 1}}{L^3}{T^{ - 2}}

Option B (

{M^{ - 1}}{L^3}{T^{ - 2}}

) is correct because it is derived from Newton's law of gravitation, F = G(m1m2/r²).

192 Medium

192 of 384

Application +4 | -1

What is the area of a disc of radius 1.1 cm?

View answer and explanation

Correct option: D

3.8\mathrm{\;c}{\mathrm{m}^2}

Option D (

3.8\mathrm{\;c}{\mathrm{m}^2}

) is correct because the area should be rounded to two significant figures.

193 Medium

193 of 384

Remembering +4 | -1

One yard in SI units is equal

View answer and explanation

Correct option: B

0.9144 metre

Option B (0.9144 metre) is correct because it is the standard conversion factor between yards and meters.

194 Easy

194 of 384

Remembering +4 | -1

SI unit of electric intensity is

View answer and explanation

Correct option: D

Newton/ coulomb

Option D (Newton/ coulomb) is correct because electric intensity is defined as force per unit charge, hence Newton/Coulomb.

195 Easy

195 of 384

Understanding +4 | -1

\frac{{watt}}{{kelvin}}

is the unit of

View answer and explanation

Correct option: D

Thermal conductance

Option D (Thermal conductance) is correct because thermal conductance is defined as the rate of heat flow per unit temperature difference, which corresponds to Watt/Kelvin.

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196 Easy

196 of 384

Remembering +4 | -1

Dimension of electric current is

View answer and explanation

Correct option: A

\left[ {{M^0}{L^0}{T^{ - 1}}Q} \right]

Option A is correct because electric current is a fundamental quantity and its dimension is represented by [Q] or [A].

197 Medium

197 of 384

Application +4 | -1

The dimensional formula of magnetic flux is

View answer and explanation

Correct option: D

\left[ {\mathrm{M}{\mathrm{L}^2}{\mathrm{T}^{ - 2}}{\mathrm{A}^{ - 1}}} \right]

Option D ([

\mathrm{M}{\mathrm{L}^2}{\mathrm{T}^{ - 2}}{\mathrm{A}^{ - 1}}

]) is correct because magnetic flux is given by

\phi = B \cdot A

, where B is the magnetic field and A is the area. The dimension of B is [MT^-2A^-1] and the dimension of A is [L²], so the dimension of magnetic flux is [ML²T^-2A^-1].

198 Easy

198 of 384

Understanding +4 | -1

If h is plank’s constant and

\lambda

is the wave length,

\frac{h}{\lambda }

has the dimensions of

View answer and explanation

Correct option: B

momentum

Option B (momentum) is correct because h/λ has the dimensions of momentum, derived from de Broglie's wavelength equation.

199 Medium

199 of 384

Understanding +4 | -1

Crane is British unit of volume (one crane = 170.4742). convert crane into SI units.

View answer and explanation

Correct option: A

0.170474{m^3}

Option A (

0.170474{m^3}

) is correct because 1 crane is equal to 170.4742 liters, and 1 liter is equal to 0.001 cubic meters.

200 Easy

200 of 384

Application +4 | -1

If the displacement

y

of a particle is

y=A

\sin ({pt}+{qx})

, then the dimensions of '

{p} / {q}

' is

View answer and explanation

Correct option: C

M^{\circ} L T^{-1}

Option C (

M^{\circ} L T^{-1}

) is correct because pt and qx must be dimensionless, so p has dimensions of T^-1 and q has dimensions of L^-1.

201 Medium

201 of 384

Remembering +4 | -1

Unit of moment of inertia in MKS system

View answer and explanation

Correct option: C

kg \times {m^2}

Option C (

kg \times {m^2}

) is correct because moment of inertia is mass times the square of the distance from the axis of rotation.

202 Easy

202 of 384

Remembering +4 | -1

Unit of stress is

View answer and explanation

Correct option: C

N/{m^2}

Option C (

N/{m^2}

) is correct because stress is defined as force per unit area, hence N/m².

203 Easy

203 of 384

Understanding +4 | -1

Henry/ohm can be expressed in

View answer and explanation

Correct option: A

Second

Option A (Second) is correct because Henry/ohm represents the time constant (L/R) in an RL circuit, which has units of seconds.

204 Medium

204 of 384

Understanding +4 | -1

Which of the following is not a dimensionless quantity?

View answer and explanation

Correct option: C

Permeability of free space

({\mu _0})

Option C (Permeability of free space

({\mu _0})

) is correct because permeability has dimensions, while the other options are dimensionless quantities.

205 Medium

205 of 384

Application +4 | -1

Frequency is the function of density (ρ) , length (a) and surface tension (T). Then its value is

View answer and explanation

Correct option: A

k\sqrt T /{\rho ^{1/2}}{a^{3/2}}

Option A (

k\sqrt T /{\rho ^{1/2}}{a^{3/2}}

) is correct because frequency depends on density, length, and surface tension, and dimensional analysis leads to this relationship.

206 Easy

206 of 384

Application +4 | -1

N

divisions on the main scale of a vernier calliper coincide with

(N+1)

divisions of the vernier scale. If each division of main scale is '

a

' units, then the least count of the instrument is

View answer and explanation

Correct option: D

\frac{a}{N+1}

Option D (

\frac{a}{N+1}

) is correct because the least count is calculated by finding the difference between one main scale division and one vernier scale division.

207 Medium

207 of 384

Analyzing +4 | -1

Which of the following sets have different dimensions?

View answer and explanation

Correct option: D

Dipole moment, Electric flux, Electric field

Option D (Dipole moment, Electric flux, Electric field) is correct because dipole moment has dimensions of [LTA], electric flux has dimensions of [ML³T⁻³A⁻¹], and electric field has dimensions of [MLT⁻³A⁻¹], which are all different.

208 Medium

208 of 384

Understanding +4 | -1

A student has measured the length of a wire equal to 0.04580 m. This value of length has the number of significant figures equal to

View answer and explanation

Correct option: B

Four

Option B (Four) is correct because the number 0.04580 has four significant figures (4, 5, 8, and the trailing 0).

209 Medium

209 of 384

Understanding +4 | -1

Which of the following measurement is most precise?

View answer and explanation

Correct option: D

3.00 mm

Option D (3.00 mm) is correct because it has the smallest unit, indicating the highest precision.

210 Easy

210 of 384

Remembering +4 | -1

Dimensional formula for linear momentum is

View answer and explanation

Correct option: C

ML{T^{ - 1}}

Option C (

ML{T^{ - 1}}

) is correct because linear momentum is mass times velocity, so its dimensions are

MLT^{-1}

Revision notes and key takeaways

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