The deviation produced by the prism depends on the refractive index, the angle of the prism, and the angle of incidence. The total deviation \( \delta \) can be calculated using the following relation:
\[ \delta = (\theta_1 + \theta_2) - \text{Prism angle} \]
Where:
Since the refractive index is \( \sqrt{2} \) and the light is passing through a right-angled prism, the angle of deviation can be computed by:
\[ \delta = 60^\circ \]
Thus, the angle of deviation produced by the prism is: \( \delta = 60^\circ \)
Simar, Tanvi, and Umara were partners in a firm sharing profits and losses in the ratio of 5 : 6 : 9. On 31st March, 2024, their Balance Sheet was as follows:
Liabilities | Amount (₹) | Assets | Amount (₹) |
Capitals: | Fixed Assets | 25,00,000 | |
Simar | 13,00,000 | Stock | 10,00,000 |
Tanvi | 12,00,000 | Debtors | 8,00,000 |
Umara | 14,00,000 | Cash | 7,00,000 |
General Reserve | 7,00,000 | Profit and Loss A/c | 2,00,000 |
Trade Payables | 6,00,000 | ||
Total | 52,00,000 | Total | 52,00,000 |
Umara died on 30th June, 2024. The partnership deed provided for the following on the death of a partner:
If \(\begin{vmatrix} 2x & 3 \\ x & -8 \\ \end{vmatrix} = 0\), then the value of \(x\) is: