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2. Units and Measurements
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Q33 of 44 Page 9

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.

Given:


Area of periphery =1 cm2


Radial distance of point = 5 cm


We know that the solid angle ω subtended by an object is given by




Therefore, the solid angle subtended is 0.04 steradian.


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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.


32

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

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.

35

Time for 20 oscillations of a pendulum is measured as t1= 39.6 s; t2= 39.9 s; t3= 39.5 s. What is the precision in the measurements? What is the accuracy of the measurement?

Questions · 44
2. Units and Measurements
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