| Column I | Column II | ||
| (A). | Biodegradable | (P). | Polyacrylonitrie |
| (B). | Synthetic | (Q). | PHBV |
| (C). | Natural | (R). | Dacron |
| (D). | Polyester | (S). | Rubber |
Match the terms in Column-I with their description in Column-II and choose the correct option: Column I Column II (A). Biodegradable (P). Polyacrylonitrile (B). Synthetic (Q). PHBV (C). Natural (R). Dacron (D). Polyester (S). Rubber
Solution: * (A). Biodegradable matches with (Q). PHBV. * (B). Synthetic matches with (P). Polyacrylonitrile and (R). Dacron. * (C). Natural matches with (S). Rubber. * (D). Polyester matches with (R). Dacron. Therefore, the correct matching is: * A - Q * B - P, R * C - S * D - R
The heat generated in 1 minute between points A and B in the given circuit, when a battery of 9 V with internal resistance of 1 \(\Omega\) is connected across these points is ______ J. 
The given circuit works as: 
Let the lines $L_1 : \vec r = \hat i + 2\hat j + 3\hat k + \lambda(2\hat i + 3\hat j + 4\hat k)$, $\lambda \in \mathbb{R}$ and $L_2 : \vec r = (4\hat i + \hat j) + \mu(5\hat i + + 2\hat j + \hat k)$, $\mu \in \mathbb{R}$ intersect at the point $R$. Let $P$ and $Q$ be the points lying on lines $L_1$ and $L_2$, respectively, such that $|PR|=\sqrt{29}$ and $|PQ|=\sqrt{\frac{47}{3}}$. If the point $P$ lies in the first octant, then $27(QR)^2$ is equal to}
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