Y.G

a beam of light incident vertically on a glass hemisphere of radius R and refractive index √2 lying with its plane side on a table. the axis of beam concides with the verticle axis passing through the centre of base of the hemisphere and the cross sectional radius is R/√2. find the point where luminous point is formed

11 Answers

1
voldy ·

at the center of the sphere ?

11
Anirudh Narayanan ·

On the centre..........yes sri...light ray is incident along the normal.......so no deviation.

62
Lokesh Verma ·

2/v-0=(√2-1)/R

v=R√2/(√2-1)
v=R√2(√2+1)
v=R(√2+2)

again

new u for second refraction is given by v-{R(1-1/√2)}

=R(√2+2) - {R(1-1/√2)}

= R{ (√2+2) -1 + 1/√2}

= R{ 1 + 3/√2 }

now

2 R{ 1 + 3/√2 } = D

R{ 3+ √2 } = D from the other surface.

62
Lokesh Verma ·

check for any mistakes

11
Subash ·

bhaiyya what is luminous point

1
big looser ......... ·

new u for second refraction is given by v-{R(1-1/√2)}

ye line kaise aai

62
Lokesh Verma ·

that comes from geometry..
It is an improtant calculation..
let me show that too...

Btw is the answer correct?

1
big looser ......... ·

usme likha ha √2R/(√3+1)

62
Lokesh Verma ·

we know a is given by R/√2

so b2+a2=r2

will give b

then b+x=r

this will give x

Btw .. may be i have made some calculation mistake.. I am not very sure.. I think the method should be ok...

Or may be I am solving something else?

1
big looser ......... ·

KYA IS TARAH K CALCULATION BASED IIT MEIN AA SAKTE HAIN... ITS OBJECTIVE

1
big looser ......... ·

lekin u for second surface to
√2R(√2+2) + {R(1-1/√2)} ye hona chaiye ????????????

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