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Measurement and Dimensional Analysis

Total questions: 11

Worksheet time: 9mins

Name
Class
Date
1.
You know 1000 mg = 1 g.  Convert 2.5 grams into milligrams.
a)
25 mg
b)
25,000 mg
c)
250 mg
d)
2500 mg
2.
You know that 12 inches = 1 foot.  Convert 60 inches to feet.
a)
720 feet
b)
5 feet
c)
5 inches
d)
72 feet
3.

5 gallons to ? L

1gal = 3.785 L

a)

18.925

b)

.1895

c)

1895

d)

1895000

4.

10 mm=? nano meters

a)

104

b)

105

c)

106

d)

107

5.

Dimensions of Torque (Torque=Force X Radius) is

a)

MLT2MLT^{-2}

b)

ML2T1ML^2T^{-1}

c)

ML2T3ML^2T^{-3}

d)

none of these

6.

 F=G m1 m2r2F=G\ \frac{m_{1\ }m_2}{r^2}  
In this given equation the Dimensions of G are

a)

 M1L2T2M^{-1}L^2T^{-2}  

b)

 M1L3T2M^{-1}L^3T^{-2}  

c)

 M1L2T2M^{-1}L^2T^2  

d)

none of these

7.

 h=Eν  where E is energy and ν is frequency (ν=1T where T is time)h=\frac{E}{\nu}\ \ where\ E\ is\ energy\ and\ \nu\ is\ frequency\ \left(\nu=\frac{1}{T}\ where\ T\ is\ time\right) Dimensions of h Planks constant is

a)

 ML2T2M^{ }L^2T^{-2}  

b)

 ML2T2M^{ }L^{-2}T^{-2}  

c)

 M1L2T2M^{-1}L^2T^{-2}  

d)

 ML2T1M^{ }L^2T^{-1}  

8.

Unit of angle in radians defined as arc length to radius is

a)

 L0L^0  

b)

 L2L^2  

c)

 LL  

d)

 L1L^{-1}  

9.

 mass=X1V2C2  mass=\frac{X}{\sqrt{1-\frac{V^2}{C^2}}}\ \   where V is velocity of the particle and C is speed of light. In this relation the Unit of X is

a)

Kg s / m

b)

kg m/s

c)

kg

d)

none of these

10.

Parsec is the unit of

a)

length

b)

angle

c)

time

d)

none of these

11.

arc sec and arc min are unit of

a)

length

b)

angle

c)

time

d)

none of these