Answer:
Given:
Far point = 80 cm
Spectacle power = -1.0 D
The formula relating lens power (P), focal length (f), and object distance (u) is:
P = 1/f
Since the spectacle power is -1.0 D, we can convert it to focal length using the formula:
f = 1/P
f = 1/-1.0 = -1.0 m^-1 (Note: The negative sign indicates a concave lens used for myopia correction.)
Now, we can use the lens formula to find the object distance (u) when the image distance (v) is at infinity:
1/f = 1/v - 1/u
Since the far point is considered to be at infinity, we can assume v = infinity and simplify the equation:
1/f = 0 - 1/u
1/f = -1/u
Substituting the value of f:
-1.0 m^-1 = -1/u
Simplifying the equation:
u = 1.0 m
Therefore, the myopic person can see clearly up to a distance of 1.0 meter.
Here,
P
=
−
0.80
d
i
o
p
t
r
e
f
100
0.8
125
c
m
v
80
,
u
?
As
1
∴
+
25
16
2000
9
222.22
The person can see objects upto
(b) Here,
1.0
75
4
3
300
7
42.9
.
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Answers & Comments
Answer:
Given:
Far point = 80 cm
Spectacle power = -1.0 D
The formula relating lens power (P), focal length (f), and object distance (u) is:
P = 1/f
Since the spectacle power is -1.0 D, we can convert it to focal length using the formula:
f = 1/P
f = 1/-1.0 = -1.0 m^-1 (Note: The negative sign indicates a concave lens used for myopia correction.)
Now, we can use the lens formula to find the object distance (u) when the image distance (v) is at infinity:
1/f = 1/v - 1/u
Since the far point is considered to be at infinity, we can assume v = infinity and simplify the equation:
1/f = 0 - 1/u
1/f = -1/u
Substituting the value of f:
-1.0 m^-1 = -1/u
Simplifying the equation:
u = 1.0 m
Therefore, the myopic person can see clearly up to a distance of 1.0 meter.
Answer:
Here,
P
=
−
0.80
d
i
o
p
t
r
e
f
=
100
P
=
100
−
0.8
=
−
125
c
m
v
=
−
80
c
m
,
u
=
?
As
1
v
−
1
u
=
1
f
∴
1
u
=
1
v
−
1
f
=
1
−
80
+
1
125
=
−
25
+
16
2000
=
−
9
2000
u
=
−
2000
9
=
−
222.22
c
m
The person can see objects upto
222.22
c
m
(b) Here,
P
=
1.0
d
i
o
p
t
r
e
f
=
100
P
=
100
1
=
100
c
m
u
=
?
v
=
−
75
c
m
As
1
−
1
u
=
1
f
∴
1
u
=
1
v
−
1
f
=
−
1
75
−
1
100
=
−
4
−
3
300
u
=
−
300
7
=
−
42.9
c
m
.