If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable,

Which of the following liberates O2 upon hydrolysis?

A colourless aqueous solution contains nitrates of two metals, X and Y. When it was added to an aqueous solution of NaCl

Newman projections P, Q, R and S are shown below :Which one of the following options represents identical molecules?

Which of the following structures has the IUPAC name3-ethynyl-2-hydroxy-4-methylhex-3-en-5-ynoic acid?

The Fischer projection of D-erythrose is shown below : D-erythrose and its isomers are listed as P, Q, R, and S in Colu

In thermodynamics, the p-V work done is given by$$w = - \int {dV{p_{ext}}} $$For a system undergoing a particular proce

With respect to the compounds I-V, choose the correct statement(s).

In the reaction scheme shown below Q, R and S are the major products.The correct structure of

Choose the correct statement(s) among the following :

With respect to hypochlorite, chlorate and perchlorate ions, choose the correct statement(s).

The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion,

5.00 mL of 0.10 M oxalic acid solution taken in a conical flask is titrated against NaOH from a burette using phenolphth

Consider the reaction,A $$\rightleftharpoons $$ Bat 1000 K. At time t', the temperature of the system was increased to

Consider a 70% efficient hydrogen-oxygen fuel cell working under standard conditions at 1 bar and 298 K. Its cell reacti

Aluminium reacts with sulphuric acid to form aluminium sulphate and hydrogen. What is the volume of hydrogen gas in litr

$$_{92}^{238}U$$ is known to undergo radioactive decay to form $$_{82}^{206}Pb$$ by emitting alpha and beta particles. A

In the following reaction, compound Q is obtained from compound P via an ionic intermediateWhat is the degree of unsatur

Suppose a, b denote the distinct real roots of the quadratic polynomial x2 + 20x $$-$$ 2020 and suppose c, d denote the

If the function f : R $$ \to $$ R is defined by f(x) = |x| (x $$-$$ sin x), then which of the following statements is TR

Let the functions f : R $$ \to $$ R and g : R $$ \to $$ R be defined byf(x) = ex $$-$$ 1 $$-$$ e$$-$$|x $$-$$ 1|and g(x)

Let a, b and $$\lambda $$ be positive real numbers. Suppose P is an end point of the latus return of the parabola y2 = 4

Let C1 and C2 be two biased coins such that the probabilities of getting head in a single toss are $${{2 \over 3}}$$ and

Consider the rectangles lying the region $$\left\{ {(x,y) \in R \times R:0\, \le \,x\, \le \,{\pi \over 2}} \right.$$ a

Let the function f : R $$ \to $$ R be defined by f(x) = x3 $$-$$ x2 + (x $$-$$ 1)sin x and let g : R $$ \to $$ R be an a

Let M be a 3 $$ \times $$ 3 invertible matrix with real entries and let I denote the 3 $$ \times $$ 3 identity matrix. I

Let S be the set of all complex numbers z satisfying |z2 + z + 1| = 1. Then which of the following statements is/are TRU

Let x, y and z be positive real numbers. Suppose x, y and z are the lengths of the sides of a triangle opposite to its a

Let L1 and L2 be the following straight lines.$${L_1}:{{x - 1} \over 1} = {y \over { - 1}} = {{z - 1} \over 3}$$ and $${

Which of the following inequalities is/are TRUE?

Let m be the minimum possible value of $${\log _3}({3^{{y_1}}} + {3^{{y_2}}} + {3^{{y_3}}})$$, where $${y_1},{y_2},{y_3}

Let a1, a2, a3, .... be a sequence of positive integers in arithmetic progression with common difference 2. Also, let b1

Let f : [0, 2] $$ \to $$ R be the function defined by$$f(x) = (3 - \sin (2\pi x))\sin \left( {\pi x - {\pi \over 4}} \r

In a triangle PQR, let a = QR, b = RP, and c = PQ. If |a| = 3, |b| = 4 and $${{a\,.(\,c - \,b)} \over {c\,.\,(a - \,b)}}

For a polynomial g(x) with real coefficients, let mg denote the number of distinct real roots of g(x). Suppose S is the

let e denote the base of the natural logarithm. The value of the real number a for which the right hand limit$$\mathop {

A football of radius R is kept on a hole of radius r (r < R) made on a plank kept horizontally. One end of the plank

A small roller of diameter 20 cm has an axle of diameter 10 cm (see figure below on the left). It is on a horizontal flo

A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below. Correct

A circular coil of radius R and N turns has negligible resistance. As shown in the schematic figure, its two ends are co

A light disc made of aluminium (a nonmagnetic material) is kept horizontally and is free to rotate about its axis as sho

An open-ended U-tube of uniform cross-sectional area contains water (density 103 kg m−3 ). Initially the water level sta

The filament of a light bulb has surface area 64 mm2 . The filament can be considered as a black body at temperature 250

Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of only one p

A particle of mass m moves in circular orbits with potential energy V(r) = Fr, where F is a positive constant and r is i

A uniform electric field, $$\overrightarrow E = - 400\sqrt 3 \widehat y$$ NC−1 is applied in a region. A charged parti

Shown in the figure is a semicircular metallic strip that has thickness t and resistivity $$\rho $$. Its inner radius is

Consider one mole of helium gas enclosed in a container at initial pressure P1 and volume V1. It expands isothermally to

One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0, 0). A point partic

Put a uniform meter scale horizontally on your extended index fingers with the left one at 0.00 cm and the right one at

When water is filled carefully in a glass, one can fill it to a height h above the rim of the glass due to the surface t

As shown schematically in the figure, two vessels contain water solutions (at temperature T) of potassium permanganate (

A circular disc of radius R carries surface charge density $$\sigma \left( r \right) = {\sigma _0}\left( {1 - {r \over R

A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of 2 ms−