A body of mass \(2 \, {kg}\) is placed on a smooth horizontal surface. Two forces \(F_1 = 20 \, {N}\) and \(F_2 = 10\sqrt{3} \, {N}\) are acting on the body in the directions making angles of \(30^\circ\) and \(60^\circ\) to the surface. The reaction of the surface on the body is:
Identify correct statements regarding the Human Genome Project: Statements :I. The method of DNA sequencing was developed by Jeffreys.II. Identification of genes that express as RNA is referred to as Expressed Sequence Annotation.III. About 1.4 million locations where single base DNA differences occur in humans.IV. Y-chromosome has 231 genes.
Arrange the following in increasing order of their pK\(_b\) values.
Calculate the EMF of the Galvanic cell: $ \text{Zn} | \text{Zn}^{2+}(1.0 M) \parallel \text{Cu}^{2+}(0.5 M) | \text{Cu} $ Given: $ E^\circ_{\text{Zn}^{2+}/\text{Zn}} = -0.763 \, \text{V} $ and $ E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.350 \, \text{V} $
Find the values of a, b, c, and d for the following redox equation: $ a\text{I}_2 + b\text{NO} + 4\text{H}_2\text{O} = c\text{HNO}_3 + d\text{HI} $
Explain the following nitration reaction:
The corresponding logic gate for the given truth table is
The value of current $ I $ in the adjoining circuit will be
If the probability density function of a random variable is given by $$ f(x) = \begin{cases} 12x^2(1 - x), & 0 \leq x \leq 1 \\ 0, & \text{elsewhere} \end{cases} $$ then the mean and variance are respectively:
The area of a parallelogram whose diagonals are given by $ \vec{u} + \vec{v} $ and $ \vec{v} + \vec{w} $, where: $ \vec{u} = 2\hat{i} - 3\hat{j} + \hat{k}, \quad \vec{v} = -\hat{i} + \hat{k}, \quad \vec{w} = 2\hat{j} - \hat{k} $ is:
