EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physical World and Measurement>JEE Advanced Paper 2 - 2015>Q 5

HARD

JEE Advanced

IMPORTANT

Earn 100

In terms of potential difference $V$ , electic current $I$ , permittivity $ε_{0}$ , permeability $μ_{0}$ and speed of light $c$ , the dimensionally correct equation(s) is (are)

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Important Questions on Physical World and Measurement

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physical World and Measurement>JEE Advanced Paper 2 - 2013>Q 6

Using the expression

2 d \sin θ = λ

, one calculates the values of

d

by measuring the corresponding angle

θ

in the range

0

to

90 °

. The wavelength

λ

is exactly known and the error in

θ

is constant for all the values of

θ

. As

θ

increases from

0 °

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physical World and Measurement>JEE Advanced Paper 1 - 2020>Q 8

Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one physical quantity. In one such system, dimensions of different quantities are given in terms of a quantity

X

as follows:

[position] = [X^{α}];

[speed] = [X^{β}]

;

[acceleration] = [X^{p}]

;

[linear momentum] = [X^{q}]

;

[force] = [X^{r}]

. Then

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physical World and Measurement>JEE Advanced Paper 1 - 2019>Q 9

Let us consider a system of units in which mass and angular momentum are dimensionless. If the length has a dimension of

L,

which of the following statement (s) is/are correct?

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physical World and Measurement>JEE Advanced Paper 1 - 2016>Q 12

A length - scale

(l)

depends on the permittivity

(ε)

of a dielectric material, Boltzmann constant

k_{B}

, the absolute temperature T, the number per unit volume (n) of certain charged particles, and the charge (q) carried by each of the particles, Which of the following expressions (s) for

l

is (are) dimensionally correct?

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 1 - Physical World and Measurement>JEE Advanced Paper 1 - 2015>Q 13

Planck' constant

h

, speed of light

c

and gravitational constant

G

are used to form a unit of length

L

and a unit of mass

M

. Then the correct option(s) is (are)