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

EASY

JEE Advanced

IMPORTANT

Earn 100

The equation of the stationary wave is $y = 2 A \sin (\frac{2 π c t}{λ}) \cos (\frac{2 π x}{λ})$ Which of the following statements is wrong?

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Important Questions on Dimensions and Measurement

EASY

JEE Advanced

IMPORTANT

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

Given that,

y = A \sin [(\frac{2 π}{λ}) (c t - x)]

, where

y

and

x

are measured in the unit of length. Which of the following statements is true?

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 12

In the relation,

\frac{d y}{d t} = 2 ω \sin (ω t + ϕ_{0})

, the dimensional formula for

ω t + ϕ_{0}

is,

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 13

The length

l

, breadth

b

and thickness

t

of a block of wood are measured with the help of a measuring scale. The results with permissible errors (in

cm

) are,

l = 15.12 \pm 0.01, b = 10.15 \pm 0.01

and

t = 5.28 \pm 0.01

. The percentage error in volume up to proper significant figures is,

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 14

A physical quantity

x

depends on quantities

y

and $z$ as follows:

x = A y + B \tan (C z)

, where

A, B

and

C

are constants. Which of the followings do not have the same dimensions?

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 15

The relative density of the material of a body is found by weighing it first in air and then in water. If the weight of the body in air is,

W_{1} = 8.00 \pm 0.05 N

and the weight in water is,

W_{2} = 6.00 \pm 0.05 N

, then the relative density,

ρ_{r} = \frac{W_{1}}{(W_{1} - W_{2})}

with the maximum permissible error is,

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 16

Force

F

is given in terms of time

t

and distance

x

by

F = A \sin C t + B \cos D x .

Then the dimensions of

\frac{A}{B}

and

\frac{C}{D}

are

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 17

In the relation

y = r \sin (ω t - k x),

the dimensions of

\frac{ω}{k}

are

EASY

JEE Advanced

IMPORTANT

PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 1 - Dimensions and Measurement>Exercises>Q 18

Given that

y = a \sin ω t + b t + c t^{2} \cos ω t

. The unit of

a b c

is same as that of