Recent questions tagged eamcet

A vehicle sounding a whistle of frequency 256 Hz is moving on a straight road, towards a hill with a velocity of $10\;ms^{-1}$. The number of beats per second observed by a person travelling in the vehicle is : (Velocity of sound=330 \;ms^{-1})

asked Nov 7, 2013 by meena.p

1 answer

Two identical bodies have temperatures $277^{\circ}C $ and $67^{\circ}C$. If the surroundings temperature is $27^{\circ}C$, the ratio of loss of heats of the two bodies during the same interval of time is (approximately) :

asked Nov 7, 2013 by meena.p

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The tyre of a motor car contains air at $15^{\circ}C$. If the temperature increases to $35^{\circ}C$ the approximate percentage increase in pressure is (ignore to expansion of tyre):

asked Nov 7, 2013 by meena.p

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The ratio of specific heats of a gas is $ \gamma$. The change in internal energy of one mole of the gas, when the volume changes from V to 2V at constant pressure P is :

asked Nov 7, 2013 by meena.p

1 answer

The relation between the coefficient of real expansion $(\gamma_r)$ and coefficient of apparent expansion $(\gamma _a)$ of a liquid and the coefficient of linear expansion $(\alpha _g)$ of the material of the container is :

asked Nov 7, 2013 by meena.p

1 answer

An iron sphere of mass $20 \times 10^{-3}\;kg$ falls through a viscous liquid with terminal velocity $0.5\;ms^{-1}.$ The terminal velocity $(in\; ms^{-1})$ of another iron sphere of mass $54 \times 10^{-2}\;kg$ is :

asked Nov 7, 2013 by meena.p

1 answer

The heat evolved for the rise of water when one end of the capillary tube of radius r is immersed vertically into water is : (Assume surface tension=T and density of water to be p)

asked Nov 7, 2013 by meena.p

1 answer

The radii and Young's moduli of two uniform wires A and B are in the ratio 2: 1 and 1:2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire A is one percent, the percentage in length of the wire B is :

asked Nov 7, 2013 by meena.p

1 answer

A body of mass m is is suspended to an ideal spring of force constant k. The expected change in the position force F acting vertically downwards is :

asked Nov 7, 2013 by meena.p

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Degenerate electron pressure will not be sufficient to prevent core collapse of white dwarf if its mass becomes n times of solar mass. Value of n is :

asked Nov 7, 2013 by meena.p

1 answer

Identify the increasing order of the angular velocities of the following :

asked Nov 7, 2013 by meena.p

1 answer

The instantaneous velocity of a point B of the given rod of length 0.5 m is 3 m/s in the represented direction. The angular velocity of the rod for the minimum velocity of end A is

asked Nov 7, 2013 by meena.p

1 answer

The minimum force required to move a body up an inclined plane is three times the minimum force required to prevent it from sliding down the plane. If the coefficient of friction between the body and the inclined plane is $\large\frac{1}{2 \sqrt 3},$ the angle of the inclined plane is :

asked Nov 7, 2013 by meena.p

1 answer

Consider the following statements A and B and identify the correct answer: (A): In an elastic collision , if a body suffers a head on collision with another of same mass at rest, the first body comes to rest while the other starts moving with the velocity of the first one . (B): Two bodies of equal mass suffering a head on elastic collision merely exchanges their velcities :

asked Nov 7, 2013 by meena.p

1 answer

The center of mass of three particles of masses 1 kg,2 kg and 3 kg is at (2,2,2). The position of the fourth mass of 4 kg to be placed in the system as that the new center of mass is at (0,0,0) is :

asked Nov 7, 2013 by meena.p

2 answers

The machine gun fires 240 bullets per minute. If the mass of each bullet is 10 g and the velocity of the bullets is $600\; ms^{-1}$ the power (in kW) of the gun is :

asked Nov 7, 2013 by meena.p

1 answer

The equation of trajectory of a projectile is $y= 10 x - \bigg(\large\frac{5}{9} \bigg)x^2$. If we assume $g=10\;ms^{-2},$ the range of projectile (in meter) is :

asked Nov 7, 2013 by meena.p

0 answers

The equation of trajectory of a projectile is $y=10x-\bigg(\large\frac{5}{9}\bigg)x^2$. If we assume $g=10\;ms^{-2}, the range of projectile (in metre) is :

asked Nov 7, 2013 by meena.p

0 answers

A body projected vertically upwards crosses a point twice in its journey at a height h just after $t_1$ and $t_2$ seconds. Maximum height reached by the body is :

asked Nov 7, 2013 by meena.p

1 answer

At a given instant of time the position vector of a particle moving in a circle with a velocity $3 \hat i- 4 \hat j + 5 \hat k$ is $\hat i+9 \hat j -3 \hat k$. Its angular velocity at that time is :

asked Nov 7, 2013 by meena.p

1 answer

Names of units of some physical quantities are given in List I and their dimensions formulae are given in List- II. Match the correct pairs in the lists:

asked Nov 7, 2013 by meena.p

1 answer

The solution of $\large\frac{dx}{dy}+\frac{x}{y}$$=x^2$ is :

asked Nov 7, 2013 by meena.p

1 answer

The solution of $(1+x^2) \large\frac{dy}{dx}$$+2xy-4x^2=0$ is :

asked Nov 7, 2013 by meena.p

1 answer

The solution of $(x^2+y^2)dx =2xy \;dy$ is :

asked Nov 7, 2013 by meena.p

1 answer

$\int _{-1} ^ 1 \large\frac{\cos h x }{1+e^{2x}}$$dx$ is equal to :

asked Nov 7, 2013 by meena.p

1 answer

$\int \limits_0^{\pi/2} \large\frac{dx}{1+ \tan^3 x}$ is equal to :

asked Nov 7, 2013 by meena.p

1 answer

Dividing the interval [0,6] into 6 equal parts and by using trapezoidal rule the value of $\int \limits_0^6 x^3 dx$ is approximately:

asked Nov 7, 2013 by meena.p

1 answer

Observe the following statements : $A : \int \bigg(\large\frac { x^2-1}{x^2} \bigg)e. ^{\large\frac{x^2-1}{x}}\; dx= e^{\large\frac{x^2-1}{x}}+c.$$\qquad R:\int f'(x)e^{f(x)}dx=f(x)+c.$ Then which of the following is true ?

asked Nov 7, 2013 by meena.p

1 answer

If $\int \large\frac{dx}{x^2+2x+2}$$=f(x) +c,$ then f(x) is equal

asked Nov 7, 2013 by meena.p

1 answer

If $\int \sqrt {\large\frac{x}{a^3-x^3}}dx=g(x)+c,$ then $g(x) $ is equal to :

asked Nov 7, 2013 by meena.p

1 answer

If $f(x,y )= \large\frac{\cos (x-4y)}{\cos (x+4y)}$, then $\large\frac{\partial f}{\partial x} \bigg|_{y-\large\frac{x}{2}}$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

If $u= \sin ^{-1} \bigg( \large\frac{x^2+y^2}{x+y}\bigg)$ then $x \large\frac{\partial u}{\partial x}$$+ y \large\frac{\partial u}{\partial y}$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

The perimeter of a sector is a constant. If its area is to be maximum, the sectorial angle is :

asked Nov 6, 2013 by meena.p

1 answer

In the interval $(-3,3)$ the function $f(x) =\large\frac{x}{3}+\frac{3}{x}$$x \neq 0$ is :

asked Nov 6, 2013 by meena.p

1 answer

If 0 is the angle between the curves $xy=2$ and $x^2+4y=0$ and $x^2+4y=0$, then $\tan \theta$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

If $f(x)= \left\{ \begin{array}{1 1} \frac{1- \sqrt 2 \sin x}{\pi-4x} & \quad if\;x \neq \frac{\pi}{4} \\ \alpha & \quad if\;x= \frac{\pi}{4} \end{array}. \right. $ is continuous at $\large\frac{\pi}{4}, $ then $\alpha$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

If $l_1=\lim \limits _{x \to 2^{+}} (x+[x]). l_2 \lim \limits_{x \to 2^{-}} (2x-[x])$ and $l_3=\lim \limits_{x \to x/2} \large\frac{\cos x}{(x-\pi/2)}$ then :

asked Nov 6, 2013 by meena.p

1 answer

If $\lim \limits_{x \to 0} \bigg(\large\frac{\cos 4x+a \cos 2x+b}{x^4}\bigg)$ is finite, then the values of a,b are respectively :

asked Nov 6, 2013 by meena.p

1 answer

$\lim \limits_{x \to \infty} [ \sqrt {x^2+2x-1}-x]$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

If $ 0 < p < q,$ then $\lim \limits _{n \to x}( q^n+p^n)^{1/n}$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

$f(x) =e^x \sin x,$ then $f^{(6)} (x) $ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

If $x^y=y^x$. then $x(x-y \log x) \large\frac{dy}{dx}$ is equal to :

asked Nov 6, 2013 by meena.p

1 answer

The polar equation of the circle with center $\bigg( 2, \large\frac{\pi}{2}\bigg)$ and radius 3 units is :

asked Nov 6, 2013 by meena.p

1 answer

If the eccentricity of a hyperbola is $\sqrt 3$; then the eccentricity of its conjugate hyperbola is :

asked Nov 6, 2013 by meena.p

1 answer

The sides of the rectangle of greatest area that can be inscribed in the ellipse $x^2+4y^2=64$ are:

asked Nov 6, 2013 by meena.p

1 answer

Equations of the latus rectum of the ellipse $9x^2+4y^2-18x -8y-23=0$ are :

asked Nov 6, 2013 by meena.p

2 answers

If b and c are the lengths of the segments of any focal chord of a parabola $y^2=4ax$, then the length of the semi-latus rectum is :

asked Nov 6, 2013 by meena.p

1 answer

The length of the tangent drawn to the circle $x^2+y^2-2x+4y-11=0$ from the point $(1,3)$ is:

asked Nov 6, 2013 by meena.p

1 answer

Observe the following statements: I. The circle $x^2+y^2-6x-4y-7=0$ touches x-axis. II. The circle $x^2+y^2+6x+4y-7=0$ touches x-axis.Which of the following is a correct statement?

asked Nov 6, 2013 by meena.p

1 answer

The number of common tangent to the two circles $x^2+y^2-8x+2y=0$ and $x^2+y^2-2x-16y+25=0$ is :

asked Nov 6, 2013 by meena.p

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