A thin equi-convex lens of refractive index \(1.2\) is dipped in oil of index \(1.44.\) The lens has a power of \(2\) D (in air). When it is immersed in the oil, the focal length of the lens becomes:
1. \(50\) cm 
2. \(-50\) cm 
3. \(-50/1.2\) cm 
4. \(-50 \times1.2\) cm 
Subtopic:  Lens Makers' Formula |
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Red light and violet light are simultaneously incident onto a convex lens, made of glass. The refractive index of glass for red light \((\mu_R)\) is less than that for violet light \((\mu_V).\) The focal length of the lens is:
1. greater for red than for violet.
2. greater for violet than for red.
3. the same for violet and red.
4. undefined, because the two colours of light interfere with each other.
Subtopic:  Lens Makers' Formula |
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Given below are two statements: 
Statement I: Chromatic aberration has different signs for concave and convex lenses.
Statement II: Chromatic aberration is absent in mirrors.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Lens Makers' Formula |
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If a convex lens \((\mu=1.5)\) is immersed in water \(\left(\mu=\dfrac{4}{3}\right)\) then its focal length in water is:
1. \(\dfrac14\) of that in air
2. \(\dfrac89\) of that in air
3. \(\dfrac98\) of that in air
4. \(4\) times that in air
Subtopic:  Lens Makers' Formula |
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Given below are two statements: 
Assertion (A): A convex lens made of glass \((\mu=1.5),\) when placed in a liquid of refractive index \(\mu=3,\) functions like a diverging lens.
Reason (R): The focal length of the lens is determined by the expression: \({\large\frac{1}{f}}=(\mu_r-1){\large\Big(\frac{1}{R_1}-\frac{1}{R_2}\Big)}\) which depends on the relative refractive index of the material of the lens with respect to that of the external medium.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Lens Makers' Formula |
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