Free Printable Units and Measurements

1.

Dimension of Kinetic Energy

a)

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

b)

M L T^{- 2}

c)

M L T^{- 1}

d)

M L^{- 1} T^{- 1} \times L^{3} T^{- 1}

2.

In a system of units if force (F), acceleration (A) and time (T) are taken as fundamentals units then the dimensional formula of energy is

a)

$FA^2T$

b)

$FAT^2$

c)

$F^2AT$

d)

$FAT$

3.

If force (F), work (W) and velocity (v) are taken as fundamental quantities. What is the dimensional formula of time (T)?

a)

[WFv]

b)

$\left[WFv^{-1}\right]$

c)

$\left[W^{-1}Fv^{-1}\right]$

d)

$\left[WF^{-1}v^{-1}\right]$

4.

Young's modulus of steel is 19 x 10^10 N/m^2. Express it in dyne/cm^2. Here dyne is CGS unit of force

a)

$19\ \times\ 10^9$

b)

$19\ \times10^{12}$

c)

$19\ \times\ 10^{11}$

d)

$19\times\ 10^{10}$

5.

Find the dimension of potential V ( I denotes current )

a)

$ML^2T^{-1}$

b)

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

c)

$ML^3IT^{-3}$

d)

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

6.

Mark the quantities having same dimensions

a)

Impulse

b)

Linear Momentum

c)

density

d)

relative density

7.

A dimensionless quantity

a)

never has a unit

b)

always has a unit

c)

may have a unit

d)

does not exist

8.

If centripetal force is of the form m^a v^b r^c ( m is mass, v is velocity, r is radius ), find the values of a, b and c

a)

a = 1 b = -2 c = -1

b)

a = 1 b = 2 c = -1

c)

a = 1 b = 2 c = 1

d)

a = -1 b = 2 c = -1

9.

Which one of the following represents the correct dimensions of the coefficient of viscosity?

a)

$\left[ML^{-1}T^{-2}\right]$

b)

$\left[MLT^{-1}\right]$

c)

$\left[ML^{-1}T^{-1}\right]$

d)

$\left[ML^{-2}T^{-2}\right]$

10.

Types of dimensions

a)

Dimensional Constant

b)

Dimensionless Constant

c)

Dimensional Variables

d)

Dimensionless Variables

Units and Measurements

Total questions: 10

Worksheet time: 9mins

Similar Resources on Wayground