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Determination of the time period for oscillation of a simple pendulum by using Simple Harmonic Motion(SHM) method and hence calculate the value of acceleration due to gravity(g)

Theory

Description
 When all four legs of a spherometer are made to touch the spehrical surface, the radiusof curvature(R) of the spherical surface given by:
R = (a2 ⁄ 6h) + (h ⁄ 2)
Where 'a' is the main distance between the outer legs of the spherometer and 'h' is the highest of the central leg above of below the plane.

Table & Data Collection

Table-I:

Readings no. No of obs. Linear Scale Reading (mm) Circular Scale Divison Least Count (mm) Fractional part (mm) Total reading (mm) Mean (mm)
 Base  1            
 Plate  2            
   3      0.01      
 Spherical  1            
 Glass  2            
 surface  3            

Calculations & Results

Calculation
 h = reading on spherical glass surface - reading on base plate
= h2 - h1 (mm)
 least count = pitch / total number of divisions on circular scale (mm)
 measurement of 'a'
Put the spherometer on the page, mark the 3 points where it touches the page, and measure the distance between these points, a1, a2, a3 (mm)
 Mean Value = a1+a2+a3 / 3 mm
 R = a2 ⁄ 6h + h ⁄ 2 (cm) (10 mm = 1cm)
 Result:
The radius of curvature of given spherical surface is __ cm

Discussion

Point Explanation