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Worksheets

Units and Dimensions

Total questions: 21

Worksheet time: 17mins

Name
Class
Date
1.

Which of the following is the unit of latent heat:

a)

J

b)

J mol-1

c)

J Kg-1

d)

J Kg-1 mol-1

2.

Unit of angular acceleration is SI system:

a)

N kg-1

b)

m sec-2

c)

rad sec-2

d)

km kg-1

3.

erg m-1 can be the unit of the measure of

a)

force

b)

momentum

c)

power

d)

acceleration

4.

The unit of force and length are doubled, the unit of energy will be :

a)

1/4 times

b)

1/2 times

c)

2 times

d)

4 times

5.

Length cannot be measured by

a)

fermi

b)

debye

c)

micron

d)

light year

6.

Given that v is the speed, r is radius and g is acceleration due to gravity . Which of the following is dimensionless?

a)

v2 r / g

b)

v2 / r g

c)

v2 g / r

d)

v2 g r

7.

If force (F), acceleration (a) and time (T) are used as the fundamental units, the dimensional formula for length will be:

a)

F0 a T2

b)

F a0 T2

c)

F a2 T0

d)

F a T

8.

Angular momentum has the same dimensions as :

a)

Planck's constant

b)

Universal gravitational constant

c)

Rydberg constant

d)

Boltzmann constant

9.

If P is the pressure , ρ is the density and E is the energy of a bubble , the quantity P-5/6 ρ1/2 E1/3 has got the dimensions of :

a)

length

b)

mass

c)

time

d)

velocity

10.

the dimensions of energy are

a)

M L1 T 2M\ L^{-1}\ T\ ^{-2}

b)

M L2 T 2M\ L^{-2}\ T\ ^{-2}

c)

M L2 T 2M\ L^2\ T\ ^{-2}

d)

M L2 T 1M\ L^2\ T\ ^{-1}

11.

When quantities with units are added or subtracted, they need to be expressed in the _____________ unit.

a)

Different

b)

Same

c)

Derived

d)

Fundamental

12.

Find out the dimensionless quantity

a)

Pressure

b)

Reynolds Number

c)

Viscosity

d)

Density

13.

erg m-1 can be the unit of the measure of

a)

force

b)

momentum

c)

power

d)

acceleration

14.

The unit of force and length are doubled, the unit of energy will be :

a)

1/4 times

b)

1/2 times

c)

2 times

d)

4 times

15.

What are the 3 major types of Error in Error Analysis?

a)

Careless Error, Precision Error, Careful Error

b)

Careless Error, Precision Error, Instrumental Error

c)

Zero Error, Careless Error, Random Error

d)

Systematic Error, Random Error, Least count Error

16.
Calculate 12.34 + 1.234 + 0.1234 and give your answer with the correct number of significant figures.
a)
13.6974
b)
13.697
c)
13.70
d)
13.7
17.
Calculate 345.009 g - 23.00 g and give your answer with the correct number of significant figures.
a)
322.01 g
b)
322 g
c)
322.009 g
d)
322.0
18.

The value of 1o is = ....... radian

a)

1.745 x 10-2

b)

3.6

c)

1.947 x 10-11

d)

360

19.

The velocity of a particle v at an instant 't' is given by

v = at + bt2. The dimensions of b is

a)

[L]

b)

[LT-1]

c)

[LT-2]

d)

[LT-3]

20.

the dimensions of viscosity coefficient are

a)

M L1 T 2M\ L^{-1}\ T\ ^{-2}

b)

M L1 T 1M\ L^{-1}\ T\ ^{-1}

c)

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

d)

M L2 T 2M\ L^{-2}\ T\ ^{-2}

21.

the following equation is dimensionally

 v2 =v02 +2 a dv^2\ =v_0^2\ +2\ a\ d  
Where :
 v is the velocity
a is the acceleration
d is the distance

a)

Correct

b)

incorrect