PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 3

EASY

JEE Advanced

IMPORTANT

Earn 100

Pressure is dimensionally

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Important Questions on Dimensions and Measurement

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JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 4

Choose the correct statement(s).

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 5

The values of measurement of a physical quantity in five trials were found to be

1.51, 1.53, 1.53, 1.52

and

1.54

. Then,

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JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 6

If

S

and

V

are one main scale and one Vernier scale divisions and

n - 1

divisions on the main scale are equivalent to

n

divisions of the Vernier, then:

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JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 7

Which of following pairs has/have the same dimensions? (

L =

inductance,

C =

capacitance,

R =

resistance)

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 8

Which of the following pairs has/have the same dimensions?

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 9

Consider three quantities,

x = \frac{E}{B}

,

y = \frac{1}{\sqrt{μ_{0} ε_{0}}}

and

z = \frac{l}{C R}

. Here,

l

is the length of a wire,

C

is the capacitance,

E

is the electric field,

B

is the magnetic field, and

R

is a resistance. All other symbols have usual meanings. Then,

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JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 10

Which of the following ratios express(es) pressure?

HARD

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 11

The velocity, acceleration and force in two systems of units are related as,

$(i) v' = \frac{α^{2}}{β} v$
$(ii) a' = (α β) a$
$(iii) F' = (\frac{1}{α β}) F$
All primed symbols belong to one system and the unprinted ones belong to other system, $α$ and $β$ are dimensionless constants. Which of the following statements is/are true?

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