List of practice Questions

The difference between blood and lymph is:

System shown in figure is in equilibrium and at rest. The spring and string are massless, now the string is cut. The acceleration of mass 2m and m just afterthe string is cut will be

If the bond length of CO bond in carbon monoxide is $1.128 \mathring{A}, $ then what is the value of CO bond length in $Fe(CO)_5? $

A plane passes through $ (1 ,-2 ,1 )$ and is perpendicular to two planes $2x - 2y + z = 0$ and $x - y + 2z = 4, $ then the distance of the plane from the point $ (1, 2, 2)$ is

For x > 0, $ lim_{ x \to 0} \Bigg [ (sin \, x)^{1/x} + \bigg( \frac{1}{x}\bigg)^{sin \, x} \Bigg ] $ is

Let, $\overrightarrow{a}=\widehat{i}+2\widehat{j}+\widehat{k}, \overrightarrow{c}=\widehat{i}+\widehat{j}+\widehat{k}.$ A vector coplanar to $\overrightarrow{a}$ and $\overrightarrow{c}$ of magnitude $\frac{1}{\sqrt{3}},$ then the vector is

If a, b,c are the sides of a triangle ABC such that $x^2 - 2(a+b+c)x+3\lambda(ab+bc+ca)=0$ has real roots, then

If $r, s, t$ are prime numbers and p , q are the positive integers such th a t LCM of p , q is $r^2 s^4 t^2$ then the number of ordered pairs (p, q) is

Half-life of a radioactive substance A is 4 days. The probability that a nucleus will decay in two half-lives is

f(x) is cubic polynomial with f(2) = 18 and f(1) = -1. Also f(x) has local maxima at x = -1 and f '(x) has local minima at x = 0, then

The smallest ketone and its next homologue are reacted with $NH_2OH$ to form oxime

(I) 1, 2-dihydroxy benzene (II) 1, 3-dihydroxy benzene (III) 1, 4-dihydroxy benzene (IV) Hydroxy benzene The increasing order of boiling points of above mentioned alcohols is

$CuSO_4$decolourises on addition of KCN, the product is

A solution when diluted with $H_2 0$ and boiled, it gives a white precipitate. On addition of excess $NH_4 CI / NH_4 0H$, the volume of precipitate decreases leaving behind a white gelatinous precipitate. Identify the precipitate which dissolves in $NH_4 OH / NH_4 CI.$

$\xrightarrow{Cl_2,hv\, \, }N(isomeric\, products) C_5 H_{11} Cl$ $\xrightarrow{\, \, Fractional\, distillation \, }M(isomeric\, products)$ What are N and M?

$ MgSO_4 $ on reaction with $ NH_4OH $ and $ Na_2HPO_4 $ forms a white crystalline precipitate. What is its formula?

$MgSO_4$ on reaction with $NH_4 OH $ and $ Na_2 HPO_4$ forms a white crystalline precipitate. What is its formula?

A solid sphere of radius R has moment of inertia I about its geometrical axis. It is melted into a disc of radius r and thickness t. If it's moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to I, then the value of r is equal to

Which of the following statement is (are) correct in the given figure ?

A solid sphere is in pure rolling motion on an inclined surface having inclination $?$

A double star system consists of two stars A and B which have time periods $T_ A $ and $T_B $ . Radius $ R_A $ and $ R_B $ and mass $ M_A $ and $M_B $ . Choose the correct option

If $e_1$ is the eccentricity of the ellipse $\frac {x^2}{16}+\frac{y^2}{25}=1$ and $e_2$ is the eccentricity of the hyperbola passing through the foci of the ellipse and $e_1e_2=1$ then equation of the hyperbola is

Angle of banking for a vehicle speed of $ 10\,m/s $ for a radius of curvature $ 10\,m $ is (assume $ g=10\,m/s^{2} $ )

Equation of progressive wave is $\hspace25mm y = A \sin \big(10 \pi x + 11 \pi t + \frac{\pi}{3}$.

Which of the following have highest electron affinity?