Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics-

General

Easy

Question

A transparent solid cylindrical rod has a refractive index of $fraction numerator 2 over denominator square root of 3 end fraction$ . It is surrounded by air. A light ray is incident at the mid–point of one end of the rod as shown in the figure

The incident angle q for which the light ray grazes along the wall of the rod is

$\sin^{- 1} (\frac{1}{2})$
$\sin^{- 1} (\frac{\sqrt{3}}{2})$
$\sin^{- 1} (\frac{2}{\sqrt{3}})$
$\sin^{- 1} (\frac{1}{\sqrt{3}})$

The correct answer is: $sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses$

$1 cross times sin invisible function application 9 0 equals fraction numerator 2 over denominator square root of 3 end fraction sin invisible function application left parenthesis 90 minus alpha right parenthesis$

$rightwards double arrow cos invisible function application alpha equals fraction numerator square root of 3 over denominator 2 end fraction$
So $sin invisible function application alpha equals square root of 1 minus fraction numerator 3 over denominator 4 end fraction end root equals fraction numerator 1 over denominator 2 end fraction$
Now, $1 cross times sin invisible function application theta equals fraction numerator 2 over denominator square root of 3 end fraction sin invisible function application alpha$
$equals fraction numerator 2 over denominator square root of 3 end fraction cross times fraction numerator 1 over denominator 2 end fraction equals fraction numerator 1 over denominator square root of 3 end fraction$
$rightwards double arrow theta equals sin to the power of negative 1 end exponent invisible function application fraction numerator 1 over denominator square root of 3 end fraction$

Related Questions to study

An object is placed 20 cm in front of a plano–convex lens of focal length 15 cm. The plane surface of the lens is silvered. The image will be formed at a distance

An object is placed 20 cm in front of a plano–convex lens of focal length 15 cm. The plane surface of the lens is silvered. The image will be formed at a distance

physics-General

A ray of light is incident at the glass-water interface at an angle I, it emerges finally parallel to the surface of water, then the value of m_g would be:

A ray of light is incident at the glass-water interface at an angle I, it emerges finally parallel to the surface of water, then the value of m_g would be:

physics-General

A parallel beam of light falls on a convex lens. The path of the rays is shown in the figure. It follows that

A parallel beam of light falls on a convex lens. The path of the rays is shown in the figure. It follows that

physics-General

parallel

Find the size of image formed in the situation shown in figure.

Find the size of image formed in the situation shown in figure.

physics-General

Locate the image of the point object O in the situation shown in figure. The point C denotes the centre of curvature of the separating surface

Locate the image of the point object O in the situation shown in figure. The point C denotes the centre of curvature of the separating surface

physics-General

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface of water, the radius of the circle in centimeter is

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface of water, the radius of the circle in centimeter is

physics-General

parallel

Consider the situation shown in figure. Water (m_w = 4/3) is filled in a beaker upto a height of 10 cm. A plane mirror is fixed at a height of 5 cm from the surface of water. Distance of image from the mirror after reflection from the mirror after reflection from it of an object O at the bottom of the beaker is

Consider the situation shown in figure. Water (m_w = 4/3) is filled in a beaker upto a height of 10 cm. A plane mirror is fixed at a height of 5 cm from the surface of water. Distance of image from the mirror after reflection from the mirror after reflection from it of an object O at the bottom of the beaker is

physics-General

One side of a glass slab is silvered as shown in figure. A ray of light is incident on the other side at angle of incidence i = 45º. Refractive index of glass is given as 1.5. The deviation of the ray of light from its initial path when it comes out of the slab is

One side of a glass slab is silvered as shown in figure. A ray of light is incident on the other side at angle of incidence i = 45º. Refractive index of glass is given as 1.5. The deviation of the ray of light from its initial path when it comes out of the slab is

physics-General

Consider the following diagram The incident ray parallel to the optical axis passing through

Consider the following diagram The incident ray parallel to the optical axis passing through

physics-General

parallel

A layered lens as shown in the figure is made of two materials indicated by different shades. A point object is placed on its axis. The lens will form.

A layered lens as shown in the figure is made of two materials indicated by different shades. A point object is placed on its axis. The lens will form.

physics-General

A prism of refractive index $open parentheses fraction numerator 3 over denominator 2 end fraction close parentheses$ is immersed in water of refractive index $open parentheses fraction numerator 4 over denominator 3 end fraction close parentheses$ . For the total internal reflection the correct choice is

A prism of refractive index $open parentheses fraction numerator 3 over denominator 2 end fraction close parentheses$ is immersed in water of refractive index $open parentheses fraction numerator 4 over denominator 3 end fraction close parentheses$ . For the total internal reflection the correct choice is

physics-General

For a prism PQR the incident and emergent rays are parallel. The minimum value of refractive index of the prism material is

For a prism PQR the incident and emergent rays are parallel. The minimum value of refractive index of the prism material is

physics-General

parallel

When the prism is in the minimum deviation position (Figure). Choose the correct one.

When the prism is in the minimum deviation position (Figure). Choose the correct one.

physics-General

Figure shows a cross - section of light pipe made of glass fibre of refractive index 1.68. The outer coating of the pipe is made of a material of refractive index 1.44. What is the range of angles of the incident rays with the axis of the pipe for which total internal reflection inside the pipe takes place ?

Figure shows a cross - section of light pipe made of glass fibre of refractive index 1.68. The outer coating of the pipe is made of a material of refractive index 1.44. What is the range of angles of the incident rays with the axis of the pipe for which total internal reflection inside the pipe takes place ?

physics-General

A vessel contains a slab of glass 8cm thick and of refractive index 1.6 over the slab, the vessel is filled by oil of refractive index m upto height 4.5 cm and also by another liquid i.e., water of refractive index $fraction numerator 4 over denominator 3 end fraction$ and height 6cm as shown in figure. An observer looking down from above, observes that, a mark at the bottom of the glass slab appears to be raised up to position 6cm from the bottom of the slab. The refractive index of the oil is

A vessel contains a slab of glass 8cm thick and of refractive index 1.6 over the slab, the vessel is filled by oil of refractive index m upto height 4.5 cm and also by another liquid i.e., water of refractive index $fraction numerator 4 over denominator 3 end fraction$ and height 6cm as shown in figure. An observer looking down from above, observes that, a mark at the bottom of the glass slab appears to be raised up to position 6cm from the bottom of the slab. The refractive index of the oil is

physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.