Wave Optics

1. A.
   same wavelength
2. B.
   same frequency
3. C.
   same intensity
4. D.
   same speed

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1. A.
   straight
2. B.
   parabolic
3. C.
   circular
4. D.
   hyperbolic

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1. A.
   $2n\pi$
2. B.
   $2n\pi + \dfrac{\pi}{4}$
3. C.
   $2n\pi + \dfrac{\pi}{2}$
4. D.
   $2n\pi + \pi$

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1. A.
   (i) and (iii) only
2. B.
   (iii) and (iv) only
3. C.
   (i), (iii) and (iv) only
4. D.
   All of them

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1. A.
   distance between the slits and the screen only
2. B.
   wavelength of light used only
3. C.
   both wavelength of light used and the slits separation
4. D.
   slits separation only

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1. A.
   longitudinal mechanical wave only
2. B.
   transverse mechanical wave only
3. C.
   electromagnetic waves only
4. D.
   all these waves

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Both Assertion (A) and Reason (R) are false.

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Assertion (A) is false and Reason (R) is also false.

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1. A.
   Wave nature of light
2. B.
   Particle nature of light
3. C.
   Transverse nature of light
4. D.
   Both wave nature and transverse nature of light

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1. A.
   720 nm
2. B.
   590 nm
3. C.
   480 nm
4. D.
   364 nm

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1. A.
   $1{\cdot}2$ mm
2. B.
   $0{\cdot}2$ mm
3. C.
   $4{\cdot}2$ mm
4. D.
   $6{\cdot}8$ mm

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1. A.
   $8{\cdot}1 \times 10^{-7}$ m
2. B.
   $7{\cdot}2 \times 10^{-7}$ m
3. C.
   $6{\cdot}5 \times 10^{-7}$ m
4. D.
   $6{\cdot}0 \times 10^{-7}$ m

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1. A.
   disappear
2. B.
   become blurred
3. C.
   be widened
4. D.
   be compressed

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1. A.
   540 nm
2. B.
   480 nm
3. C.
   420 nm
4. D.
   720 nm

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1. A.
   zero
2. B.
   $I_0$
3. C.
   $2I_0$
4. D.
   $4I_0$

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1. A.
   0 and $2a^2$
2. B.
   0 and $4a^2$
3. C.
   $a^2$ and $2a^2$
4. D.
   $2a^2$ and $4a^2$

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Both Assertion (A) and Reason (R) are false.

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1. A.
   0.88 mm
2. B.
   0.59 mm
3. C.
   0.33 mm
4. D.
   0.44 mm

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1. A.
   4th
2. B.
   6th
3. C.
   8th
4. D.
   10th

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1. A.
   If both Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
2. B.
   If both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
3. C.
   If Assertion (A) is true but Reason (R) is false.
4. D.
   If both Assertion (A) and Reason (R) are false.

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1. A.
   If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. B.
   If both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
3. C.
   If Assertion (A) is true and Reason (R) is false.
4. D.
   If both Assertion (A) and Reason (R) are false.

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1. A.
   2
2. B.
   3
3. C.
   4
4. D.
   6

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1. A.
   1
2. B.
   2
3. C.
   3
4. D.
   4

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1. A.
   2
2. B.
   4
3. C.
   6
4. D.
   9

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1. A.
   $\sin^{-1}\,(0{\cdot}12)$
2. B.
   $\sin^{-1}\,(0{\cdot}225)$
3. C.
   $\sin^{-1}\,(0{\cdot}32)$
4. D.
   $\sin^{-1}\,(0{\cdot}45)$

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1. A.
   2
2. B.
   3
3. C.
   6
4. D.
   10

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1. A.
   $\beta$
2. B.
   $\mu\beta$
3. C.
   $\dfrac{\beta}{\mu}$
4. D.
   $\dfrac{\beta}{\mu^2}$

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1. A.
   Both (i) and (ii) remain constant.
2. B.
   (i) remains constant, but (ii) decreases.
3. C.
   (i) remains constant, but (ii) increases.
4. D.
   Both (i) and (ii) increase.

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1. A.
   $\mathrm{I} \propto \sqrt{\mathrm{A}}$
2. B.
   $\mathrm{I} \propto \mathrm{A}$
3. C.
   $\mathrm{I} \propto \mathrm{A}^{2}$
4. D.
   $\mathrm{I} \propto \dfrac{1}{\mathrm{A}^{2}}$

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1. A.
   230 nm
2. B.
   345 nm
3. C.
   460 nm
4. D.
   690 nm

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1. A.
   half
2. B.
   twice
3. C.
   four times
4. D.
   one-fourth

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1. A.
   $2R$
2. B.
   $R$
3. C.
   $\dfrac{R}{2}$
4. D.
   $\dfrac{R}{4}$

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1. A.
   equal in both the forward and the backward directions.
2. B.
   maximum in the forward direction and zero in the backward direction.
3. C.
   large in the forward direction and small in the backward direction.
4. D.
   small in the forward direction and large in the backward direction.

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1. A.
   420 nm
2. B.
   750 nm
3. C.
   630 nm
4. D.
   500 nm

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1. A.
   1.4
2. B.
   1.5
3. C.
   1.6
4. D.
   1.8

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
3. C.
   Assertion (A) is true, but Reason (R) is false.
4. D.
   Assertion (A) is false and Reason (R) is also false.

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1. A.
   Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. B.
   Both Assertion (A) and Reason (R) are true and Reason (R) is NOT the correct explanation of Assertion (A).
3. C.
   Assertion (A) is true and Reason (R) is false.
4. D.
   Assertion (A) is false and Reason (R) is also false.

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1. A.
   will decrease, but the intensity of bright fringe remains the same.
2. B.
   will increase, but the intensity of bright fringe decreases.
3. C.
   will decrease, but the intensity of bright fringe increases.
4. D.
   and the intensity both remain the same.

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1. A.
   (i) and (ii)
2. B.
   (ii) and (iii)
3. C.
   (iii) and (iv)
4. D.
   (iv) and (i)

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1. A.
   Zero
2. B.
   $I_0$
3. C.
   $2 I_0$
4. D.
   $4 I_0$

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1. A.
   The intensity of pattern will increase
2. B.
   The intensity of pattern will decrease
3. C.
   The number of fringes will become double
4. D.
   No pattern will be observed on the screen

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1. A.
   same amplitude and have a varying phase difference.
2. B.
   same wavelength and a constant phase difference.
3. C.
   different wavelengths and same intensity.
4. D.
   different wavelengths and a constant phase difference.

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1. A.
   $\omega_2 > \omega_1 > \omega_3$
2. B.
   $\omega_1 > \omega_2 > \omega_3$
3. C.
   $\omega_2 > \omega_3 > \omega_1$
4. D.
   $\omega_3 > \omega_1 > \omega_2$

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1. A.
   480 nm
2. B.
   560 nm
3. C.
   640 nm
4. D.
   680 nm

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1. A.
   $\beta$
2. B.
   $\beta\mu$
3. C.
   $\dfrac{\beta}{\mu}$
4. D.
   $\dfrac{\beta}{\mu^2}$

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1. A.
   It remains constant in both cases.
2. B.
   It decreases in both cases.
3. C.
   It remains constant in (i) but decreases in (ii).
4. D.
   It decreases in (i) but remains constant in (ii).

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1. A.
   bright fringes are formed at both points.
2. B.
   dark fringes are formed at both points.
3. C.
   a bright fringe is formed at $\mathrm{P_1}$ and a dark fringe is formed at $\mathrm{P_2}$.
4. D.
   a bright fringe is formed at $\mathrm{P_2}$ and a dark fringe is formed at $\mathrm{P_1}$.

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