Recent questions tagged 2013

A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength $2 \pi m$ and frequency of $\frac{1}{\pi}$ Hz is represented by :

asked Aug 20, 2018 by pady_1

1 answer

The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from $T_1 \; K$ to $T_2 \; K$ is :

asked Aug 20, 2018 by pady_1

1 answer

In the given $(V-T)$ diagram, what is the relation between pressures $P_1$ and $P_2$ ?

asked Aug 20, 2018 by pady_1

1 answer

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of $\frac{C_p}{C_v}$ for the gas is -

asked Aug 20, 2018 by pady_1

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A gas is taken through the cycle $A \to B \to C \to A$, as shown. What is the net work done by the gas ?

asked Aug 20, 2018 by pady_1

1 answer

A piece of iron is heated in a flame. It first becomes dull red then becomes reddish yellow and finally turns to white hot. The correct explanation for the above observation is possible by using -

asked Aug 20, 2018 by pady_1

1 answer

The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_v$, respectively. If $\gamma = \frac{C_p}{C_v}$ and R is the universal gas constant, then $C_v$ is equal to -

asked Aug 20, 2018 by pady_1

1 answer

The wettability of a surface by a liquid depends primarily on -

asked Aug 20, 2018 by pady_1

1 answer

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied ?

asked Aug 20, 2018 by pady_1

1 answer

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distances 1m, 2m, 4m, 8m, … , respectively, from the origin. The resulting gravitational potential due to this system at the origin will be -

asked Aug 20, 2018 by pady_1

1 answer

A body of mass 'm' is taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be -

asked Aug 20, 2018 by pady_1

2 answers

A small object of uniform rolls up a curved surface with an initially velocity 'v'. It reaches upto a maximum height of $\frac{3v^2}{4g}$ with respect to the initial position. The object is -

asked Aug 20, 2018 by pady_1

1 answer

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is -

asked Aug 20, 2018 by pady_1

1 answer

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of $12 ms^{–1}$ and the second part of mass 2 kg moves with $8 ms^{–1}$ speed. If the third part files off with $4 ms^{–1}$ speed, then its mass is -

asked Aug 20, 2018 by pady_1

1 answer

A uniform force of $(3 \hat{i} + \hat {j})$ newton acts on a particle of mass 2 kg. Hence the particle is displaced from position $(2 \hat {i} + \hat{k})$ meter to position $(4 \hat{i} + 3 \hat{j} - \hat{k})$ meter. The work done by the force on the particle is -

asked Aug 20, 2018 by pady_1

1 answer

The upper half of an inclined plane of inclination θ is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by -

asked Aug 20, 2018 by pady_1

1 answer

Three blocks with masses m, 2m and 3m are connected by strings, as shown in the figure. After an upward force F is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2m ? (g is the acceleration due to gravity)

asked Aug 20, 2018 by pady_1

1 answer

A stone falls freely under gravity. It covers distances $h_1$, $h_2$ and $h_3$ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between $h_1$, $h_2$ and $h_3$ is -

asked Aug 20, 2018 by pady_1

1 answer

The velocity of a projectile at the initial point A is $(2 \hat{i} + 3 \hat{j})$ m/s. It's velocity (in m/s) at point B is -

asked Aug 20, 2018 by pady_1

1 answer

In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows : $P = \frac{a^3b^2}{cd} . \%$ error in P is :

asked Aug 20, 2018 by pady_1

1 answer

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?

asked Apr 19, 2017 by meena.p

1 answer

The expression $\large\frac{\tan A}{1- \cot A} +\frac{\cot A}{1- \tan A}$ can be written as :

asked Apr 19, 2017 by meena.p

1 answer

If $y= \sec (\tan ^{-1}x)$, then $\large\frac{dy}{dx}$ at $x=1$ is equal to :

asked Apr 19, 2017 by meena.p

1 answer

Given : A circle,$2x^2+2y^2=5$ and an parabola , $y^2 = 4 \sqrt 5 x$ Statement − I : An equation of a common tangent to these curves is $y =x +\sqrt 5$ Statement − II : If the line, $y= mx+ \large\frac{\sqrt 5}{m} $$(m \neq 0)$ is their common tangent, then ‘m’ satisfies $m^4- 3m^2+2=0$

asked Apr 19, 2017 by meena.p

1 answer

The intercepts on x−axis made by tangents to the curve, $y= \int \limits_0^x |t| dt , x \in R$ which are parallel to the line $y = 2x,$ are equal to

asked Apr 19, 2017 by meena.p

1 answer

If $P=\begin{bmatrix} 1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 \end{bmatrix} = 0 $ is the adjoint of $3 \times 3$ matrix $A$ and $|A|=4$ , then $\alpha$ is equal to :

asked Apr 18, 2017 by meena.p

1 answer

$ABCD$ is a trapezium such that $AB$ and $CD$ are parallel and $BC \perp CD$. If $\angle ADB = \theta, BC = p$ and $CD = q,$ then $AB$ is equal to :

asked Apr 18, 2017 by meena.p

1 answer

If z is a complex number of unit modulus and argument $\theta$, then $arg\bigg(\large\frac{1+z}{1+\bar{z}}\bigg)$ equals

asked Apr 18, 2017 by meena.p

1 answer

Let $T_n$ be the number of all possible triangles formed by joining vertices of a n−sided regular polygon. If $T_{n+1} − T_{n} = 1$ then the value of n is :

asked Apr 18, 2017 by meena.p

1 answer

The area (in square units) bounded by the curves $y=\sqrt x, 2y−x+3= 0$, x−axis, and lying in the first quadrant is :

asked Apr 18, 2017 by meena.p

1 answer

The term independent of x in expansion of $\bigg( \large\frac{x+1}{x^{2/3}-x^{1/3}+1} -\frac{x-1}{x-x^{1/2}} \bigg)^{10}$ is :

asked Apr 18, 2017 by meena.p

1 answer

The x−coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as $(0, 1) (1, 1)$ and $(1, 0)$ is :

asked Apr 18, 2017 by meena.p

1 answer

A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is :

asked Apr 18, 2017 by meena.p

1 answer

The equation of the circle passing through the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^2}{9} $$=1$ and having center at $(0,3)$ is :

asked Apr 17, 2017 by meena.p

1 answer

Statement − I : The value of the integral $\int\limits_{\pi/6} ^{\pi/3} \large\frac{dx}{1+\sqrt{\tan x}}$ is equal to $\large\frac{\pi}{6}$. Statement − II : $\int\limits_{a}^{b} f(x)dx =\int \limits_a^b f(a+b-x)dx$

asked Apr 17, 2017 by meena.p

1 answer

$\lim\limits_{x \to 0} \large\frac{(1-cos 2x )(3+\cos x)}{x \tan 4x}$ is equal to

asked Apr 17, 2017 by meena.p

1 answer

If $\int f(x)=dx= \psi(x)$, then $\int x^5 f(x^3)dx $ is equal to :

asked Apr 17, 2017 by meena.p

1 answer

Consider : Statement − I : $(p \wedge \sim q) \wedge p ( \sim p \wedge q)$ is fallacy. Statement - II : $(p \to q) \longleftrightarrow ( \sim q \to \sim p)$ is a tautology

asked Apr 13, 2017 by meena.p

1 answer

If x, y, z are in A.P. and $\tan^{-1}x,\tan^{-1}y$ and $\tan^{-1}z$ are also in A.P then :

asked Apr 12, 2017 by meena.p

1 answer

The circle passing through $(1, −2)$ and touching the axis of $x$ at $(3, 0)$ also passes through the point :

asked Apr 12, 2017 by meena.p

1 answer

If the equations $x^2 + 2x + 3 = 0$ and $ax^2+ bx + c = 0, a, b, c \in R,$ have a common root, then $a : b : c$ is

asked Apr 12, 2017 by meena.p

1 answer

The number of values of k, for which the system of equations : $(k + 1)x + 8y = 4k\\ kx + (k + 3)y = 3k − 1 $ has no solution, is :

asked Apr 12, 2017 by meena.p

1 answer

A ray of light along $x+ \sqrt{3}y =\sqrt 3$ gets reflected upon reaching x−axis, the equation of the reflected ray is :

asked Apr 12, 2017 by meena.p

1 answer

The sum of first $20$ terms of the sequence $0.7, 0.77, 0.777, ……,$ is :

asked Apr 11, 2017 by meena.p

1 answer

The real number k for which the equation, $2x^3+3x+ k = 0$ has two distinct real roots in $[0, 1]$

asked Apr 11, 2017 by meena.p

1 answer

If the vector $\overrightarrow{AB} = 3 \hat i +4 \hat k$ and $\overrightarrow{AC} = 5 \hat i - 2 \hat j +4 \hat k$ are the sides of a triangle ABC, then the length of the median through A is :

asked Apr 11, 2017 by meena.p

1 answer

If the lines $\large\frac{x-2}{1} =\frac{y-3}{1} =\frac{z-4}{-k}$ and $\large\frac{x-1}{k} =\frac{y-4}{2} =\frac{z-5}{1}$ are coplanar, then k can have :

asked Apr 11, 2017 by meena.p

1 answer

Let A and B be two sets containing 2 elements and 4 elements respectively. The number of subsets of $A \times B$ having 3 or more elements is :

asked Apr 10, 2017 by meena.p

1 answer

At present,a firm is manufacturing $2000 \;items$. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by $\large\frac{dp}{dx}$$=100 12 \sqrt {x}$. If the firm employs 25 more workers, then the new level of production of items is :

asked Apr 10, 2017 by meena.p

1 answer

Distance between two parallel planes $2x + y +2z = 8$ and $4x + 2y + 4z + 5 = 0$ is :

asked Apr 10, 2017 by meena.p

1 answer

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