A 0.12 m pencil is oriented perpendicular to the principal axis of n concave sph

Question

A 0.12 m pencil is oriented perpendicular to the principal axis of n concave spherical mirror that has a radius of curvature of 0.30 m. If the pencil is 0.25 m from the mirror, the magnitude of Image height is closest to: (a) 0.27 m (b) 0.21m (c) 0.24 m .(d) 0.15 m (e) 0.18 m The figure (not drawn to scale) shows a ray of light that originates in an aquarium. It travels through water, is incident on the glass side, and emerges into the air (Ignore any partial reflections). The correct values of the angles a and 0 are closest to: a = 0.5 5 degree and beta = 27 degree a = 27 degree and beta = 42 degree a = 27 degree and beta = 30 degree a = 27 degree and beta = 18 degree a = 33 degree and beta = 52 degree

Explanation / Answer

for Concave mirror,

f = R/2 = + 0.15 m

and object location, do = 0.25 m

applying mirror equation,

1/f = 1/do + 1/di

1/0.15 = 1/0.25 + 1/di

di = 0.375 m

m = -di/do = hi/ho

- 0.375 / 0.25 = hi / 0.12

hi = - 0.18 m

magnitude = 0.18 m

Ans(e)

10. for ray from water to glass,,

applying snell's law :

ni sin@i = nr sin@r

1.33 sin30 = 1.45 sin(alpha)

alpha = 27 deg

for glass to air:

1.45 sin27 = 1 * sin(beta)

beta = 42 deg

Ans(b)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.