Question
Two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
  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 and R is also false.
Assertion: The diamond shines due to multiple total intemal reflections.
Reason: The critical angle for diamond is 24.4°.

Answer

  1. Both A and R are true but R is not the correct explanation of A.

Explanation:

The brilliance of diamond is due to total internal reflection of tight. $\mu$ t for diamond is 2.42, so that critical angle for diamond air interface is C = 24.4° $\big($from sin $\text{C}=\frac{1}{\mu}\big).$ The diamond is cut suitable so that light entering the diamond from any face suffers multiple total internal reflections at the various faces and remains within the diamond Hence the diamond sparkles.

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For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
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Assertion: The core of transformer is made laminated in order to increase the eddy currents.
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For question, statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a) (b) (c) and (d) as given below.

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Assertion (A): Cadmium rods, used in a nuclear reactor, control the rate of fission.

Reason (R): Cadmium rods, used in a nuclear reactor, control the rate of fission.

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Assertion (A): Voltmeter is connected in parallel with the circuit.
Reason (R): Resistance of a voltmeter is very large.
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Assertion: The minimum distance between an object and its real image formed by a convex lens is 2f.
Reason: The distance between an object and its real image is minimum when its magnification is two.
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Assertion (A): An induced emf is generated when magnet is withdrawn from the solenoid.
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Assertion (A): Balmer series lies in the visible region of electromagnetic spectrum.

Reason (R): $\frac{1}{\lambda}=\text{R}\Big(\frac{1}{2^2}-\frac{1}{\text{K}^2}\Big)$, where K = 3, 4, 5, ...

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Assertion: Insulator do not allow flow of current through them.
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Assertion: A double convex lens $(\mu = 1.5)$ has focal length 10cm. When the lens is immersed in water $\big(\mu=\frac{4}{3}\big)$ its focal length becomes 78.24cm.
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  2. Both A and R are true, but R is NOT the correct explanation of A.
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Assertion (A): For the fission of heavy nuclei, neutrons are more effective than protons.

Reason (R): Neutrons are heavier than protons.