JEE Advanced 2019 Paper 1 Offline | Geometrical Optics Question 19 | Physics

JEE Advanced 2019 Paper 1 Offline

MCQ (More than One Correct Answer)

-1

A thin convex lens is made of two materials with refractive indices n₁ and n₂, as shown in the figure. The radius of curvature of the left and right spherical surfaces are equal. f is the focal length of the lens when n₁ = n₂ = n. The focal length is f + $$\Delta $$f when n₁ = n and n₂ = n + $$\Delta $$n.

Assuming $$\Delta $$n << (n - 1) and 1 < n < 2, the correct statement(s) is/are

JEE Advanced 2019 Paper 1 Offline Physics - Geometrical Optics Question 47 English

JEE Advanced 2019 Paper 1 Offline Physics - Geometrical Optics Question 47 English

If $${{\Delta n} \over n} < 0$$ then $${{\Delta f} \over f}$$ > 0

For n = 1.5, $$\Delta $$n = 10^-3 and f = 20 cm, the value of $$\left| {\Delta f} \right|$$ will be 0.02 cm (round off to 2^nd decimal place).

$$\left| {{{\Delta f} \over f}} \right| < \left| {{{\Delta n} \over n}} \right|$$

The relation between $${{{\Delta f} \over f}}$$ and $${{{\Delta n} \over n}}$$ remains unchanged if both the convex surfaces are replaced by concave surfaces of the same radius of curvature.

JEE Advanced 2018 Paper 2 Offline

MCQ (More than One Correct Answer)

-1

A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $$f,$$ as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image of the bent wire? (These figures are not to scale.)

JEE Advanced 2018 Paper 2 Offline Physics - Geometrical Optics Question 54 English

JEE Advanced 2018 Paper 2 Offline Physics - Geometrical Optics Question 54 English

JEE Advanced 2018 Paper 2 Offline Physics - Geometrical Optics Question 54 English Option 1

JEE Advanced 2018 Paper 2 Offline Physics - Geometrical Optics Question 54 English Option 2

JEE Advanced 2018 Paper 2 Offline Physics - Geometrical Optics Question 54 English Option 3

JEE Advanced 2018 Paper 2 Offline Physics - Geometrical Optics Question 54 English Option 4

JEE Advanced 2017 Paper 1 Offline

MCQ (More than One Correct Answer)

-1

For an isosceles prism of angle $$A$$ and refractive index $$\mu $$, it is found that the angle of minimum deviation $${\delta _m} = A.$$

Which of the following options is/are correct?

For the angle of incidence $${i_1} = A,$$ the ray inside the prism is parallel to the base of the prism

For this prism, the refractive index $$\mu $$ and the angle of prism $$A$$ are related as

$$A = {1 \over 2}{\cos ^{ - 1}}\left( {{\mu \over 2}} \right)$$

At minimum deviation, the incident angle $${i_1}$$ and the refracting angle $${r_1}$$ at the first refracting surface are related by $${r_1} = \left( {{i_1}/2} \right)$$

For this prism, the emergent ray at the second surface will be tangential to the surface when the angle of incidence at the first surface is

$${i_1} = {\sin ^{ - 1}}\left[ {\sin A\sqrt {4{{\cos }^2}{A \over 2} - 1} - \cos A} \right]$$

JEE Advanced 2016 Paper 1 Offline

MCQ (More than One Correct Answer)

-2

A plano-convex lens is made of material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away form the lens. Which of the following statement(s) is(are) true?

The refractive index of the lens is 2.5

The radius of curvature of the convex surface is 45 cm

The faint image is erect and real

The focal length of the lens is 20 cm

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