The energy released in fusion reaction \( ^2_1H + ^2_1H \rightarrow ^3_2He + n \) where Binding Energy of \( ^2_1H = 2.23 \text{ MeV} \) and of \( ^3_2He = 7.73 \text{ MeV} \), would be

For a full wave rectifier, if the input frequency is 50 Hz, the output frequency will be:

Three charges, +Q, q and +Q are placed with q at mid point of the line joining the other two charges. For the system of charges to be in equilibrium, the value of q is

An electrical circuit contains a battery of V = 4 V, and a resistance of R = 2 \( \Omega \). A galvanometer of resistance G = 40 \( \Omega \) shunted by S = 10 \( \Omega \) is used to measure current in the circuit. The reading of ammeter is

Polaroids A and B are placed with their axes perpendicular to each other. Unpolarised light of intensity \(I_0\) is incident on A. A third polaroid C is kept between A and B such that its axis makes an angle of \(30^\circ\) with that of B. The Intensity of transmitted light through B is:

The impact parameter for an \(\alpha\)-particle approaching a target nucleus is minimum when the scattering angle \(\theta\) is

A cell of constant emf is first connected to a resistance \( R_1 \) and then connected to a resistance \( R_2 \). If power delivered in both cases is same, then the internal resistance of the cell is

Which of the following can be used by females as injections or implants under the skin for birth control.
(A) Oxytocin
(B) Follicle Stimulating Hormone (FSH)
(C) Progestogens alone
(D) Progestogen-estrogen combinations
Choose the correct answer from the options given below:

The sum of two positive numbers is 60. If the sum of their squares is minimum, then the absolute value of the difference of their cubes is

The electrolyte used in mercury cell is

Which of the following enzymes join the sticky ends in recombinant DNA technology?

Which of the following statements are true?
(A) If \(\vec{r}=x \hat{i}+y \hat{j}+z \hat{k}\), then \(x, y, z\) are called direction ratios of \(\vec{r}\).
(B) For any two vectors \(\vec{a}\) and \(\vec{b}, \vec{a}+\vec{b}=\vec{b}+\vec{a}\).
(C) \(\vec{a} \perp \vec{b}\) if and only if \(\vec{a} \times \vec{b}=\overrightarrow{0}\).
(D) Projection of \(\vec{b}\) on \(\vec{a}\) is \(\frac{\vec{a} \cdot \vec{b}}{|\vec{a}|^2}\).
Choose the correct answer from the options given below :

Answer the question on basis of passage given below:
Organic compounds containing carbon -oxygen double bonds ( \(C = O\) ) are called carbonyl compounds. These are highly polar molecules. Hence, their boiling points are higher than hydrocarbons and ethers. Aldehydes can be prepared from dehydrogenation or oxidation of alcohols and by reduction of acylhalides. Ketones are prepared by oxidation of secondary alcohols or by hydration of alkynes etc. Aldehydes and ketones undergo nucleophilic addition reaction with the number of nucleophiles such as HCN , NaHSO3 ammonia derivatives. Carboxylic acids are prepared by the oxidation of primary alcohols, aldehydes and alkenes, by hydrolysis of nitriles. Carboxylic acids are more acidic than alcohols and phenols.
Which of the following is most reactive towards nucleophilic addition reaction ?