Match List- I with List- II . List- I List- II a R H (Rydberg constant) i kg m - 1 s - 1 b h (Planck's constant) ii kg m 2 s - 1 c μ B (Magnetic field energy density) iii m - 1 d η (coefficient of viscosity) iv kg m - 1 s - 2 Choose the most appropriate answer from the options given below:

( a ) - ( iii ) , ( b ) - ( ii ) , ( c ) - ( iv ) , ( d ) - ( i )

( a ) -( iv ), ( b )-( ii ), ( c )-( i ), ( d )-( iii )

( a ) - ( ii ) , ( b ) - ( iii ) , ( c ) - ( iv ) , ( d ) - ( i )

( a ) - ( iii ) , ( b ) - ( ii ) , ( c ) - ( i ) , ( d ) - ( iv )

Match List - I with List - II. List - I List - II a Torque i MLT - 1 b Impulse ii MT - 2 c Tension iii ML 2 T - 2 d Surface Tension iv MLT - 2 Choose the most appropriate answer from the option given below :

(a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)

(a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)

(a)-(i), (b)-(iii), (c)-(iv), (d)-(ii)

(a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)

EASY

JEE Main

IMPORTANT

Earn 100

Which of the following is not a dimensionless quantity?

48.72% studentsanswered this correctly

Important Questions on Physics and Measurement

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 August 2021 Shift 1>Q 7

A huge circular arc of length $4.4 ly$ subtends an angle $4 s$ at the centre of the circle. How long it would take for a body to complete $4$ revolution if its speed is $8 AU$ per second?
Given : $1 ly = 9.46 \times 10^{15} m$

$1 AU = 1.5 \times 10^{11} m$

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 August 2021 Shift 2>Q 8

Match List- $(I)$ with List- $(II)$ .

	List- $(I)$		List- $(II)$
a	$R_{H}$ (Rydberg constant)	i	$kg m^{- 1} s^{- 1}$
b	$h$ (Planck's constant)	ii	$kg m^{2} s^{- 1}$
c	$μ_{B}$ (Magnetic field energy density)	iii	$m^{- 1}$
d	$η$ (coefficient of viscosity)	iv	$kg m^{- 1} s^{- 2}$

Choose the most appropriate answer from the options given below:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 27 August 2021 Shift 2>Q 9

If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 31 August 2021 Shift 1>Q 10

Which of the following equations is dimensionally incorrect?

Where $t =$ time, $h =$ height, $s =$ surface tension, $θ =$ angle, $ρ =$ density $, a, r =$ radius, $g =$ the acceleration due to gravity, $V =$ volume, $p =$ pressure, $W =$ work done, $τ =$ torque, $ϵ =$ permittivity, $E =$ electric field, $J =$ current density, $L =$ length.

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 31 August 2021 Shift 1>Q 11

Match List - I with List - II.

	List - I		List - II
a	Torque	i	${MLT}^{- 1}$
b	Impulse	ii	${MT}^{- 2}$
c	Tension	iii	${ML}^{2} T^{- 2}$
d	Surface Tension	iv	${MLT}^{- 2}$

Choose the most appropriate answer from the option given below :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 31 August 2021 Shift 2>Q 12

If velocity

[V]

time

[T]

and force

[F]

are chosen as the base quantities, the dimensions of the mass will be :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 31 August 2021 Shift 2>Q 13

The diameter of a spherical bob is measured using a vernier callipers.

9

divisions of the main scale, in the vernier callipers, are equal to

10

divisions of vernier scale. One main scale division is

1 mm .

The main scale reading is

10 mm

and

8^{th}

division of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier callipers has positive zero error of

0.04 cm,

then the radius of the bob is _____________

\times 10^{- 2} cm .

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physics and Measurement>JEE Main - 20 July 2021 Shift 1>Q 14

The entropy of any system is given by,

S = α^{2} β \ln [\frac{μ kR}{J β^{2}} + 3]

where

α

and

β

are the constants.

μ, J, k

and

R

are number of moles, mechanical equivalent of heat, Boltzmann's constant and gas constant, respectively.

[Take S = \frac{d Q}{T}]

Choose the incorrect option from the following:

Which of the following is not a dimensionless quantity?

Important Questions on Physics and Measurement

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