The product of the following reaction is P. 4-hydroxybenzaldehyde \xrightarrow{\text{(i) PhMgBr (1 equiv)} \atop \text{(ii) aq. NH}_4\text{Cl}} P The number of hydroxyl groups pres
\text{C}_2\text{H}_5\text{Br} \xrightarrow{\text{alc. KOH}} \text{A} \xrightarrow[\text{CCl}_4]{\text{Br}_2} \text{B} \xrightarrow[\text{Excess}]{\text{KCN}} \text{C} \xrightarrow[
Train A is moving along two parallel rail tracks towards north with 72\text{ km h}^{-1} and train B is moving towards south with speed 108\text{ km h}^{-1}. Velocity of train B wit
On celcius scale the temperature of body increases by 40^{\circ} \mathrm{C}. The increase in temperature on Fahrenheit scale is :
A sonometer wire of resonating length 90\text{ cm} has a fundamental frequency of 400\text{ Hz} when kept under some tension. The resonating length of the wire with fundamental fre
The sum of all the solutions of the equation (8)^{2x} - 16 \cdot (8)^x + 48 = 0 is :
Order of Covalent bond; A. \text{KF} > \text{KI};\; \text{LiF} > \text{KF} B. \text{KF} \text{KF} C. \text{SnCl}_4 > \text{SnCl}_2;\; \text{CuCl} > \text{NaCl} D. \text{LiF} > \tex
The dissociation constant of acetic is \text{x} \times 10^{-5}. When 25\text{ mL} of 0.2\text{ M } \text{CH}_3\text{COONa} solution is mixed with 25\text{ mL} of 0.02\text{ M } \te
Let \mathrm{f}(\mathrm{x}) be a function such that \mathrm{f}(\mathrm{x}+\mathrm{y})=\mathrm{f}(\mathrm{x}) \cdot \mathrm{f}(\mathrm{y}) for all \mathrm{x}, \mathrm{y} \in \mathrm{
\int_{\frac{3 \sqrt{2}}{4}}^{\frac{3 \sqrt{3}}{4}} \frac{48}{\sqrt{9-4 \mathrm{x}^{2}}} \mathrm{dx} is equal to
If two charges \mathrm{q}_1 and \mathrm{q}_2 are separated with distance '\mathrm{d}' and placed in a medium of dielectric constant \mathrm{K}. What will be the equivalent distance
Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5\text{ cm} then its radius of gyration about PQ will be \sqrt{\mathrm{x}}\text{ cm}. The value of \math
Vectors \mathrm{a}\hat{\mathrm{i}} + \mathrm{b}\hat{\mathrm{j}} + \hat{\mathrm{k}} and 2\hat{\mathrm{i}} - 3\hat{\mathrm{j}} + 4\hat{\mathrm{k}} are perpendicular to each other whe
If \{a_i\}_{i=1}^n, where n is an even integer, is an arithmetic progression with common difference 1, and \sum_{i=1}^n a_i = 192, \sum_{i=1}^{\frac{n}{2}} a_{2i} = 120, then n is
If f(\theta) = \sin\theta + \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} (\sin\theta + t\cos\theta) \cdot f(t) dt, then \left|\int_0^{\frac{\pi}{2}} f(\theta) d\theta\right| is
A vertical electric field of magnitude 4.9 \times 10^5\text{ N C}^{-1} just prevents a water droplet of a mass 0.1\text{ g} from falling. The value of charge on the droplet will be
A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10\text{ g} are put one on the top of the other at the 10.0\text{ cm} mark the scale is found
The correct order of bond orders of \text{C}_2^{2-}, \text{N}_2^{2-} and \text{O}_2^{2-} is
The K_{\text{sp}} for bismuth sulphide \text{Bi}_2\text{S}_3 is 1.08 \times 10^{-73}. The solubility of \text{Bi}_2\text{S}_3 in \text{mol L}^{-1} at 298\text{ K} is
Which of the following are isostructural pairs? A. \mathrm{SO}_4^{2-} and \mathrm{CrO}_4^{2-} B. \mathrm{SiCl}_4 and \mathrm{TiCl}_4 C. \mathrm{NH}_3 and \mathrm{NO}_3^- D. \mathrm
\lim_{x \rightarrow 0} \frac{\int_0^{x^2} \sin\sqrt{t}\,dt}{x^3} is equal to:
Let A = \{n \in \mathbb{N} : n\text{ is a 3-digit number}\}, B = \{9k + 2 : k \in \mathbb{N}\} and C = \{9k + l : k \in \mathbb{N}\} for some l\, (0 < l < 9). If the sum of all the
A cube of side a has point charges +Q located at each of its vertices except at the origin where the charge is -Q. The electric field at the centre of cube is:
Moment of inertia \mathrm{M.I.} of four bodies, having same mass and radius, are reported as; I_1 = \mathrm{M.I.} of thin circular ring about its diameter, I_2 = \mathrm{M.I.} of c
The solubility product of \text{PbI}_2 is 8.0\times 10^{-9}. The solubility of lead iodide in 0.1\text{ molar} solution of lead nitrate is x\times 10^{-6}\text{ mol}/\text{L}. The
Experimentally reducing a functional group \textbf{cannot} be done by which one of the following reagents ?
The dipole moments of \text{CCl}_4, \text{CHCl}_3 and \text{CH}_4 are in the order
Two solutions, A and B, each of 100\text{L} was made by dissolving 4\text{g} of \text{NaOH} and 9.8\text{g} of \text{H}_2\text{SO}_4 in water, respectively. The \text{pH} of the re
Five numbers are in A. P. , whose sum is 25 and product is 2520. If one of these five numbers is -\frac{1}{2}, then the greatest number amongst them is
If f(a + b + 1 - x) = f(x), for all x, where a and b are fixed positive real numbers, then \frac{1}{a+b}\int_a^b x(f(x) + f(x+1))dx is equal to