Step 1: Diffraction is the bending of light around the edges of an obstacle or aperture. It occurs when light passes through a narrow slit or around an object and spreads out. Diffraction is most noticeable when the size of the slit is comparable to the wavelength of light.
Step 2: When monochromatic light passes through a single slit, it creates a pattern on a screen. The pattern consists of a central bright fringe, with alternating dark and bright fringes on either side. The central maximum is the brightest and widest, with subsequent maxima and minima decreasing in intensity.
Step 3: The angular position of the minima in the diffraction pattern is given by the condition:
\[ a \sin \theta = n \lambda \quad \text{for} \quad n = 1, 2, 3, \dots \] where:
- \( a \) is the width of the slit,
- \( \theta \) is the angle of diffraction,
- \( \lambda \) is the wavelength of the light,
- \( n \) is the order of the minima.
Step 4: The diffraction pattern consists of a central maximum, with minima at \( \theta = \pm \sin^{-1} \left( \frac{n \lambda}{a} \right) \), and smaller maxima between the minima.
Conclusion:
The diffraction pattern for light passing through a single slit has a central bright fringe with progressively weaker bright fringes on either side, separated by dark minima.
Manav and Namit were partners in a firm sharing profits and losses in the ratio of 3 : 2. Their Balance Sheet as at 31st March 2024 was as follows:
Liabilities | Assets | ||
---|---|---|---|
Capitals: | Machinery | ₹8,00,000 | |
Manav | ₹4,00,000 | Investments | ₹5,00,000 |
Namit | ₹6,00,000 | Debtors | ₹12,00,000 |
Bank Overdraft | ₹9,00,000 | Stock | ₹3,00,000 |
Creditors | ₹10,00,000 | Cash in Hand | ₹1,00,000 |
Total | ₹29,00,000 | Total | ₹29,00,000 |
The firm was dissolved on the above date and the following transactions took place:
[(i)] Stock was given to creditors in full settlement of their account.
[(ii)] Investments were taken over by Manav at 120% of book value.
[(iii)] Bad debts amounted to ₹ 2,00,000.
[(iv)] Machinery was realised at 50% discount.
[(v)] Realisation expenses amounted to ₹ 1,00,000 which were paid by Namit.
Prepare Realisation Account.