Physics-
General
Easy
Question
The convex surface of a thin concav–convex lens of glass of refractive index 1.5 has a radius of curvature of 20 cm The concave surface has a radius of curvature of 60 cm The convex side is silvered and placed on a horizontal surface as shown in the figure The focal length of the combination has the magnitude
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)
- 8.6 cm
- 7.5 cm
- 1.5 cm
- 15 cm
The correct answer is: 7.5 cm
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486672/1/930095/Picture68.png)
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A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486672/1/930095/Picture68.png)
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A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486669/1/930094/Picture69.png)
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A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486669/1/930094/Picture69.png)
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A point object O is placed at a distance of 0.3 m from a convex lens of focal length 0.2m It is then cut into two halves each of which is displaced by 0.0005 m as shown in figure
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486655/1/930093/Picture70.png)
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![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486655/1/930093/Picture70.png)
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physics-
A bi-convex lens is formed with two thin planoconvex lenses as shown in the figure Refractive index n of the first lens is 1.5 and that of the second lens s 1.2 Both the curved surfaces are of the same radius of curvature R = 14 cm For this bi-convex lens, for an object distance of 40 cm, the image distance will be
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)
A bi-convex lens is formed with two thin planoconvex lenses as shown in the figure Refractive index n of the first lens is 1.5 and that of the second lens s 1.2 Both the curved surfaces are of the same radius of curvature R = 14 cm For this bi-convex lens, for an object distance of 40 cm, the image distance will be
![](data:image/png;base64,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)
physics-General
physics-
The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by
The graph between the lateral magnification (m) produced by a lens and the distance of the image (v) is given by
physics-General
physics-
A small sphere is attached to a cord and rotates in a vertical circle about a point
. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at
![](data:image/png;base64,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)
A small sphere is attached to a cord and rotates in a vertical circle about a point
. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at
![](data:image/png;base64,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)
physics-General
physics-
Two forces, each equal to
, act as shown in figure. Their resultant is
![](data:image/png;base64,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)
Two forces, each equal to
, act as shown in figure. Their resultant is
![](data:image/png;base64,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)
physics-General
chemistry-
The reaction given below is called: ![C subscript 2 H subscript 5 O H plus S O C l subscript 2 ⟶ C subscript 2 H subscript 5 C l plus S O subscript 2 plus H C l](data:image/png;base64,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)
The reaction given below is called: ![C subscript 2 H subscript 5 O H plus S O C l subscript 2 ⟶ C subscript 2 H subscript 5 C l plus S O subscript 2 plus H C l](data:image/png;base64,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)
chemistry-General
chemistry-
- butyl alcohol
A True statement about is
- butyl alcohol
A True statement about is
chemistry-General
chemistry-
General formula of primary alcohol is:
General formula of primary alcohol is:
chemistry-General
maths-
If
, then ![A to the power of 2 end exponent B equals](data:image/png;base64,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)
If
, then ![A to the power of 2 end exponent B equals](data:image/png;base64,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)
maths-General
chemistry-
Diethyl ether is soluble in:
Diethyl ether is soluble in:
chemistry-General
chemistry-
Glycerol reacts with potassium bisulphate to produce
Glycerol reacts with potassium bisulphate to produce
chemistry-General