A resistance $$R$$ and inductance $$L$$ and a capacitor $$C$$ all are connected in series with an $$\mathrm{AC}$$ supply. The resistance of $$R$$ is $$24 \mathrm{~ohm}$$ and for a given frequency, the inductive reactance of $$L$$ is 36 ohm and capacitive reactance of $$C$$ is $$24 \mathrm{~ohm}$$. If the current in the circuit is $$5 \mathrm{~amp}$$. Find the potential difference across $$R, L$$ and $$C$$.
Truth table for system of four NAND gate and one NOT gate as shown in figure is.
![BITSAT 2023 Physics - Semiconductor Devices and Logic Gates Question 1 English Option 1](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lx413bor/f4a93566-7fcf-4db4-bea0-fa634b942bb0/29a4fbb0-2470-11ef-ade3-4f3c90942dca/file-jaoe38c1lx413bos.png?format=png)
![BITSAT 2023 Physics - Semiconductor Devices and Logic Gates Question 1 English Option 2](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lx413rsy/16ffc126-bc98-42bd-9738-9a48da2751bd/36181620-2470-11ef-ade3-4f3c90942dca/file-jaoe38c1lx413rsz.png?format=png)
![BITSAT 2023 Physics - Semiconductor Devices and Logic Gates Question 1 English Option 3](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lx4148uu/5bda5472-74da-42e1-94d4-cd53ac52a93b/43446e70-2470-11ef-ade3-4f3c90942dca/file-jaoe38c1lx4148uv.png?format=png)
![BITSAT 2023 Physics - Semiconductor Devices and Logic Gates Question 1 English Option 4](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lx414oek/a4ce981c-24ae-47c6-8727-9c4519e63d5b/4f46ecc0-2470-11ef-ade3-4f3c90942dca/file-jaoe38c1lx414oel.png?format=png)
A boat crosses a river from part $$A$$ to part $$B$$, which are just on the opposite side. The speed of the water. $$v_\omega$$ and the of boat is $$v_B$$ relative to still water. Assume $$v_B=\sqrt{2} v_\omega$$. What is the time taken by the boat, if it has to cross the river directly on the $$A B$$ line ($$D=$$ width of the river) ?
Two rings of radius $$R$$ and $$n R$$ made of same material have the ratio of moment of inertia about an axis passing through centre is $$1: 64$$. The value of $$n$$ is