If \( \alpha \) and \( \beta \) are non-real numbers satisfying \( x^3 - 1 = 0 \), then the value of \[ \left| \begin{matrix} \lambda+1 & \alpha & \beta \\ \beta & \lambda + \beta & 1 \\ 1 & \lambda + \alpha & \lambda + \alpha \end{matrix} \right| \] is:
Arrange the following compounds in the increasing order of their reactivity towards HCN: I. Acetaldehyde II. Acetone III. Di-tert-butyl ketone
Which species have delocalised electrons?
Which of the following are true statements? I. The heat capacity of a substance is the amount of heat that substance can hold per unit of temperature. II. The specific heat for a single substance is the same for all phases of that substance. III. When heat is added to a fluid, its temperature will change less if it is allowed to expand.
The following data was obtained for the reaction,
Choose the most appropriate options. Identify the product B of the following reactions.
The rate of the chemical reaction between substance A and B is found to follow the rate law. rate = \( k[A]^2[B] \), where k is the rate constant. The concentration of A is reduced to half of its original value. To make the reaction occur at 50% of its original rate, the concentration of B should be
