To determine radius of curvature of cancave mirror using spherometer
Answers
Experiment: Determine the radius of curvature of a concave mirror using a spherometer.
Spherometer
When a spherometer is placed on a curved surface such that all its legs are touching it, the middle leg will be a little higher or lower than the plane of the outer legs by a small amount h which is related to R, the radius of curvature of the surface.
GH = h
GOE = 2R
AH = a, the distance between the central leg and the outer leg.
From geometry,
AH × HB = GH × HE
a × a = h (2R – h)
a2 = 2Rh – h2
2RH = a2 + h2
R = a2/2h + h2/2h
R = a2/2h + h/2
H is the centre of equilateral triangle formed by the outer legs A, B, C.
cos 30° = AM/AH
√3/2 = l/2a
a = l/√3
R = l2/6h + h/2
Material Required
Spherometer, plane glass slab, concave mirror, half metre rod
Answer:
in order to find out the the radius of the curvature of concave mirror using spherometer
Let's start
When a spherometer is placed on a curves surface such that all it's legs are touching it, the middle leg will be little higher or lower than the plane the plane of the outer legs by small isn't h which is tested to R
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