Refraction at curved surfaces
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364829 When an object is at a distance \({x}\) and \({y}\) from the optical centre of a lens, a real and a virtual image are formed, respectively with same magnification. The focal length of lens is

1 \({x+y}\)
2 \({(x+y) / 2}\)
3 \({x+y / 2}\)
4 \({\sqrt{x y}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364830 A convex lens made of glass has focal length \(0.15\;m\) in air. If the refractive index of glass is 3/2 and that of water is 4/3, the focal length of lens when immersed in water is

1 \(0.45\;m\)
2 \(0.15\;m\)
3 \(0.30\;m\)
4 \(0.6\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364831 Read the Statement -A and Statement -B carefully to mark the correct options given below:
Statement A :
When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.
Statement B :
Concave lens always forms a virtual and erect image.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct
4 Both Statements are incorrect.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364832 The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then, the refractive index of the material of the lens is

1 greater than zero but less than 1.5
2 greater than 1.5 but less than 2.0
3 greater than 2.0 but less than 2.5
4 greater than 2.5 but less than 2.0
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364829 When an object is at a distance \({x}\) and \({y}\) from the optical centre of a lens, a real and a virtual image are formed, respectively with same magnification. The focal length of lens is

1 \({x+y}\)
2 \({(x+y) / 2}\)
3 \({x+y / 2}\)
4 \({\sqrt{x y}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364830 A convex lens made of glass has focal length \(0.15\;m\) in air. If the refractive index of glass is 3/2 and that of water is 4/3, the focal length of lens when immersed in water is

1 \(0.45\;m\)
2 \(0.15\;m\)
3 \(0.30\;m\)
4 \(0.6\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364831 Read the Statement -A and Statement -B carefully to mark the correct options given below:
Statement A :
When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.
Statement B :
Concave lens always forms a virtual and erect image.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct
4 Both Statements are incorrect.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364832 The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then, the refractive index of the material of the lens is

1 greater than zero but less than 1.5
2 greater than 1.5 but less than 2.0
3 greater than 2.0 but less than 2.5
4 greater than 2.5 but less than 2.0
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364829 When an object is at a distance \({x}\) and \({y}\) from the optical centre of a lens, a real and a virtual image are formed, respectively with same magnification. The focal length of lens is

1 \({x+y}\)
2 \({(x+y) / 2}\)
3 \({x+y / 2}\)
4 \({\sqrt{x y}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364830 A convex lens made of glass has focal length \(0.15\;m\) in air. If the refractive index of glass is 3/2 and that of water is 4/3, the focal length of lens when immersed in water is

1 \(0.45\;m\)
2 \(0.15\;m\)
3 \(0.30\;m\)
4 \(0.6\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364831 Read the Statement -A and Statement -B carefully to mark the correct options given below:
Statement A :
When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.
Statement B :
Concave lens always forms a virtual and erect image.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct
4 Both Statements are incorrect.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364832 The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then, the refractive index of the material of the lens is

1 greater than zero but less than 1.5
2 greater than 1.5 but less than 2.0
3 greater than 2.0 but less than 2.5
4 greater than 2.5 but less than 2.0
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364829 When an object is at a distance \({x}\) and \({y}\) from the optical centre of a lens, a real and a virtual image are formed, respectively with same magnification. The focal length of lens is

1 \({x+y}\)
2 \({(x+y) / 2}\)
3 \({x+y / 2}\)
4 \({\sqrt{x y}}\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364830 A convex lens made of glass has focal length \(0.15\;m\) in air. If the refractive index of glass is 3/2 and that of water is 4/3, the focal length of lens when immersed in water is

1 \(0.45\;m\)
2 \(0.15\;m\)
3 \(0.30\;m\)
4 \(0.6\;m\)
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364831 Read the Statement -A and Statement -B carefully to mark the correct options given below:
Statement A :
When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.
Statement B :
Concave lens always forms a virtual and erect image.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both Statements are correct
4 Both Statements are incorrect.
PHXII09:RAY OPTICS AND OPTICAL INSTRUMENTS

364832 The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then, the refractive index of the material of the lens is

1 greater than zero but less than 1.5
2 greater than 1.5 but less than 2.0
3 greater than 2.0 but less than 2.5
4 greater than 2.5 but less than 2.0