Two coherent light waves, each having amplitude 'a', superpose to produce an interference pattern on a screen. The intensity of light as seen on the screen varies between: (A) 0 an... Two coherent light waves, each having amplitude 'a', superpose to produce an interference pattern on a screen. The intensity of light as seen on the screen varies between: (A) 0 and 2a2 (B) 0 and 4a2 (C) a2 and 2a2 (D) 2a2 and 4a2 Questions number 13 to 16 are Assertion (A) and Reason (R) type questions. Select the correct answer from the codes (A), (B), (C) and (D) as given below. (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A). (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A). (C) Assertion (A) is true, but Reason (R) is false. (D) Both Assertion (A) and Reason (R) are false. Assertion (A): During formation of a nucleus, the mass defect produced is the source of the binding energy of the nucleus. Reason (R): For all nuclei, the value of binding energy per nucleon increases with mass number. Assertion (A): In Rutherford's alpha particle scattering experiment, the presence of only few alpha particles at angle of scattering π led him to the discovery of nucleus. Reason (R): The size of nucleus is approximately 10-5 times the size of an atom and therefore only few alpha particles are rebounded. Assertion (A): The impurities in p-type Si are not pentavalent atoms. Reason (R): The hole density in valance band in p-type semiconductor is almost equal to the acceptor density.

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Understand the Problem

The image contains physics and chemistry questions, specifically:

  1. The first question pertains to the interference pattern produced by two coherent light waves and asks for the range of intensity variation on the screen.
  2. Questions 13 to 16 are assertion-reason type questions that require selecting the correct relationship between the assertion and the reason.

We will classify these physics and chemistry questions.

Answer

The intensity of light varies between 0 and 4a²

The intensity of light varies between 0 and 4a² when two coherent light waves with amplitude 'a' interfere. Thus, the answer is option (B).

Answer for screen readers

The intensity of light varies between 0 and 4a² when two coherent light waves with amplitude 'a' interfere. Thus, the answer is option (B).

More Information

When two light waves superpose, the resultant intensity depends on the phase difference between the waves. Constructive interference results in a maximum intensity of 4a², while destructive interference results in a minimum intensity of 0.

Tips

A common mistake is to only consider the constructive interference and forget about destructive interference. Always remember to consider both scenarios to find the full range of intensity variation.

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