Monocyclic compounds $\text{P , Q , R}$ and $S$ are the major products formed in the reaction sequences given below.
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The product having the highest number of unsaturated carbon atom$(s)$ is-

Thymine is .......

For any integer $n \geq 1$,the sum $\sum_{k=1}^n k(k+2)$ is equal to

Which of the following statements is correct?

The equation of a curve in polar coordinates is $\frac{l}{r} = 2 \sin^2 \frac{\theta}{2}$. This equation represents:

If a slab of insulating material $4 \times 10^{-3} \ m$ thick is introduced between the plates of a parallel plate capacitor,the separation between plates has to be increased by $3.5 \times 10^{-3} \ m$ to restore the capacity to its original value. The dielectric constant of the material will be