Units and Measurements Test

Result

Units and Measurements Test - 23

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The dimensional formula $${ M }^{ -1 }{ L }^{ 3 }{ T }^{ -2 }$$ refers to :

A
Force

B
Power

C
Gravitational constant

D
Energy

Solution

Force $$=MLT^{-2}$$
Power $$=ML^{2}T^{-3}$$
Energy $$=ML^{2}T^{-2}$$
Gravitation constant $$=M^{-1}L^{3}T^{-2}$$
Question 2
1 / -0

The dimensional formula for angular velocity is:

A
$${ M }^{ -1 }{ L }^{ 1 }{ T }^{ 0 }$$

B
$${ M }^{ 0 }{ L }^{ -1 }{ T }^{ -1 }$$

C
$${ M }^{ -1 }{ L }^{ -1 }{ T }^{ 0 }$$

D
$${ M }^{ 0 }{ L }^{ 0 }{ T }^{ -1 }$$

Solution

$$Angular \ velocity,

W=\dfrac{1}{Time}=T^{-1}M^{0}L^{0}$$
Question 3
1 / -0

The dimensions of calorie are :

A
$${ ML }^{ 2 }{ T }^{ -2 }$$

B
$${ MLT }^{ -2 }$$

C
$${ ML }^{ 2 }{ T }^{ -1 }$$

D
$${ ML }^{ -2 }{ T }^{ -1 }$$

Solution

Its a unit of energy whose dimensions can be calculated as $$F.dr=MLT^{-2}L=ML^2T^{-2}$$
Question 4
1 / -0

The dimensions of resistivity in terms of M, L, T and Q, where Q stands for the dimensions of charge is :

A
$${ ML }^{ 3 }{ T }^{ -1 }{ Q }^{ -2 }$$

B
$${ ML }^{ 3 }{ T }^{ -2 }{ Q }^{ -1 }$$

C
$${ ML }^{ 2 }{ T }^{ -1 }{ Q }^{ -1 }$$

D
$${ MLT }^{ -1 }{ Q }^{ -1 }$$

Solution

$$R=\dfrac{\rho l}{A}$$
Power $$=I^2R$$
Dimension of R is $$\dfrac{ML^2{T}^{-1}}{Q^2T^{-2}}=ML^2TQ^{-2}$$
Now by equation, $$\rho=\dfrac{RA}{L}=ML^2TQ^{-2}L=ML^3TQ^{-2}$$
Hence, option A is correct.
Question 5
1 / -0

Which of the following pair does not have the same dimensions?

A
Moment of inertia and Torque

B
Linear Momentum and impulse

C
Angular Momentum and Plank's constant

D
Work and internal energy

Solution

Moment of inertia $$={mr}^{2}={ML}^{2}$$
Torque $$=M^{1}L^{2}T^{-2}$$
Linear momentum $$=mv=MLT^{-1}$$
Impulse $$=MLT^{-1}$$
Angular momentum $$=ML^{2}T^{-1}$$
Planks constant$$=ML^{2}T^{-2}$$
Work $$=ML^{2}T^{-2}$$
Internal Energy $$=ML^{2}T^{-2}$$
Hence, option A is correct.
Question 6
1 / -0

The dimensional formula for impulse is:

A
$${ MLT }^{ -2 }$$

B
$${ MLT }^{ -1 }$$

C
$${ ML }^{ 2 }{ T }^{ -1 }$$

D
$${ M }^{ 2 }{ LT }^{ -1 }$$

Solution

$$Impulse=force\times
time=ML^{1}T^{-2}\times T^{1}$$$$=MLT^{-1}$$
Question 7
1 / -0

The SI unit of a physical quantity having the dimensional formula of $${ ML }^{ 0 }{ T }^{ -2 }{ A }^{ -1 }$$ is:

A
$$tesla$$

B
$$weber$$

C
$$amp- meter$$

D
$$amp$$- $${ m }^{ 2 }$$

Solution

$$amp$$ $$m^{2}=A^{1}L^{2}$$
$$amp$$ $$meter$$$$=A^{1}L^{1}$$
$$weber$$ $$=ML^{2}A^{-1}T^{-2}$$
$$A\rightarrow $$ ampere
$$Tesla$$ $$=M^{1}L^{0}T^{-2}A^{-1}$$
Hence, option A is correct answer.
Question 8
1 / -0

According to theory of significant figures the value of $$\sqrt { 3.0 } $$ is:

A
$$1.732$$

B
$$1.7$$

C
$$1.73$$

D
$$1.8$$

Solution

$$\sqrt{3.0}=1.732$$
Since 3.0 has 2 significant figure,
So, our answer should have 2 significant figure
i.e. $$1.732\approx 1.7$$
Question 9
1 / -0

The number of significant figures in the numbers $$672.9$$ and $$2.520\times { 10 }^{ 7 }$$ are :

A
$$4, 4$$

B
$$3, 4$$

C
$$4, 3$$

D
$$3, 3$$

Solution

$$672.9 \rightarrow 6, 7, 2, 9 \rightarrow$$ 4 significant digits since all non zero digits are significant.
$$2.520\times 10^{7} \rightarrow 2, 5, 2, 0 \rightarrow 4$$ significant digits, since all the zero on the right side of last non zero digit in the decimal part are significant.
Question 10
1 / -0

The dimensional formula for Areal velocity is :

A
$${ M }^{ 0 }{ L }^{ -2 }{ T }^{ -1 }$$

B
$${ M }^{ 0 }{ L }^{ -2 }{ T }^{ 1 }$$

C
$${ M }^{ 0 }{ L }^{ 2 }{ T }^{ -1 }$$

D
$${ M }^{ 0 }{ L }^{ 2 }{ T }^{ 1 }$$

Solution

It is the area covered per unit time $$\dfrac{dA}{dt}=L^2T^{-1}$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Units and Measurements Test - 23

Result

Units and Measurements Test - 23

Score

-

Rank

-

SHARING IS CARING

Question 1

Force

Power

Gravitational constant

Energy

Solution

Question 2

$${ M }^{ -1 }{ L }^{ 1 }{ T }^{ 0 }$$

$${ M }^{ 0 }{ L }^{ -1 }{ T }^{ -1 }$$

$${ M }^{ -1 }{ L }^{ -1 }{ T }^{ 0 }$$

$${ M }^{ 0 }{ L }^{ 0 }{ T }^{ -1 }$$

Solution

Question 3

$${ ML }^{ 2 }{ T }^{ -2 }$$

$${ MLT }^{ -2 }$$

$${ ML }^{ 2 }{ T }^{ -1 }$$

$${ ML }^{ -2 }{ T }^{ -1 }$$

Solution

Question 4

$${ ML }^{ 3 }{ T }^{ -1 }{ Q }^{ -2 }$$

$${ ML }^{ 3 }{ T }^{ -2 }{ Q }^{ -1 }$$

$${ ML }^{ 2 }{ T }^{ -1 }{ Q }^{ -1 }$$

$${ MLT }^{ -1 }{ Q }^{ -1 }$$

Solution

Question 5

Moment of inertia and Torque

Linear Momentum and impulse

Angular Momentum and Plank's constant

Work and internal energy

Solution

Question 6

$${ MLT }^{ -2 }$$

$${ MLT }^{ -1 }$$

$${ ML }^{ 2 }{ T }^{ -1 }$$

$${ M }^{ 2 }{ LT }^{ -1 }$$

Solution

Question 7

$$tesla$$

$$weber$$

$$amp- meter$$

$$amp$$- $${ m }^{ 2 }$$

Solution

Question 8

$$1.732$$

$$1.7$$

$$1.73$$

$$1.8$$

Solution

Question 9

$$4, 4$$

$$3, 4$$

$$4, 3$$

$$3, 3$$

Solution

Question 10

$${ M }^{ 0 }{ L }^{ -2 }{ T }^{ -1 }$$

$${ M }^{ 0 }{ L }^{ -2 }{ T }^{ 1 }$$

$${ M }^{ 0 }{ L }^{ 2 }{ T }^{ -1 }$$

$${ M }^{ 0 }{ L }^{ 2 }{ T }^{ 1 }$$

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.