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2. Units and Measurements
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Q32 of 44 Page 9

Calculate the length of the arc of a circle of radius 31.0 cm which subtends an angle of at the centre.

Given:


Radius of circle R = 31.0 cm


Angle subtended by arc L =


We know that the angle θ subtended by an arc of length L at the centre of circle of radius R is given by




Therefore, the length of the arc is 16.23 cm


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30

If the unit of force is 100 N, unit of length is 10 m and unit of time is 100 s, what is the unit of mass in this system of units?

31

Give an example of

(a) a physical quantity which has a unit but no dimensions.


(b) a physical quantity which has neither unit nor dimensions.


(c) a constant which has a unit.


(d) a constant which has no unit.


33

Calculate the solid angle subtended by the periphery of an area of 1cm2 at a point situated symmetrically at a distance of 5 cm from the area.

34

The displacement of a progressive wave is represented by y = A sin(wt – k x ), where x is distance and t is time. Write the dimensional formula of (i) ω and (ii) k.

Questions · 44
2. Units and Measurements
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