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Recent questions tagged 2004
ASK
The refracting angle of a prism is A and the refractive index of the material of the prism is $\cot (A/2)$. The angle of minimum deviation of the prism is :
jeemain
eamcet
physics
2004
q24
asked
Nov 20, 2013
by
meena.p
1
answer
Assertion (A): Optical fibres are widely used in communication network. Reason (R): Optical fibers are small in size, light weight, flexible and there is no scope for interference in them.
jeemain
eamcet
physics
2004
q23
asked
Nov 20, 2013
by
meena.p
1
answer
Assertion (A): Optical fibres are widely used in communication network. Reason (R): Optical fibers are small in size, light weight, flexible and there is no scope for interference in them.
jeemain
eamcet
physics
2004
q23
asked
Nov 20, 2013
by
meena.p
0
answers
An iron load of 2 kg is suspended in air from the free end of a sonometer wire of length 1 m. A tuning fork is : (Specific gravity of iron=8)
jeemain
eamcet
physics
2004
q22
asked
Nov 20, 2013
by
meena.p
0
answers
The wavelengths of two notes in air are $\large\frac{36}{195}$$m$ and $\large\frac{36}{193}$$m$. Each note produces 10 beats per second separately with a third note of fixed frequency.The velocity of sound in air in m/s is :
jeemain
eamcet
physics
2004
q21
asked
Nov 20, 2013
by
meena.p
1
answer
A black body of mass $34.38\;g$ and surface area$19.2\;cm^2$ is at an initial temperature of $400\;K$. It is allowed to cool inside an evacuated enclosure kept at constant $0.04^{\circ}c$ per second. The specific heat of the body in $J\;kg^{-1} K^{-1}$ is : (Stefan's constant $\sigma = 5.73 \times 10^{-8} Wm ^{-2} K^{-4})$
jeemain
eamcet
physics
2004
q20
asked
Nov 13, 2013
by
meena.p
1
answer
If 4 moles of an ideal monoatomic gas at temperature $400 \;K$ is mixed with 2 moles of another ideal monoatomic gas at temperature $700\;K$ the temperature of the mixture is :
jeemain
eamcet
physics
2004
q19
asked
Nov 13, 2013
by
meena.p
1
answer
The pressure and density of a given mass of a diatomic gas $\bigg(\gamma =\large\frac{7}{5}\bigg)$ change adiabatically from $(P,d)\;to \; (P',d'')$. If $\large\frac{d''}{d}$$=32$, then $\large\frac{P'}{P}$ is $(\gamma$= ratio of specific heats)
jeemain
eamcet
physics
2004
q18
asked
Nov 13, 2013
by
meena.p
1
answer
Two identical vessels A and B with frictionless pistons contains the same ideal gas at the same temperature and the same volume V. The masses of gas in A and B and $m_A$ and $m_B$ respectively. The gases are allowed to expand isothermally to the same final volume 2V. The change in pressures of the gas in A and B are found to be $\Delta P$ and $1.5 \Delta\;P$respectively. Then:
jeemain
eamcet
physics
2004
q17
asked
Nov 13, 2013
by
meena.p
1
answer
A metallic solid sphere is rotating about its diameter as axis of rotation . If the temperature is increased by $200^{\circ}C$, the percentage increase in its moment of inertia is : (Coefficient of linear expansion of the metal $=10^{-5/^{\circ}C}$)
jeemain
eamcet
physics
2004
q16
asked
Nov 13, 2013
by
meena.p
1
answer
There are two holes one each along the opposite sides of a wide rectangular tank. The cross- section of each hole is $0.01m^2$ and the vertical distance between the holes is one meter. The tank is filled with water the net force on the tank in newton when the water flows out of the holes is : (Density of water $=1000\;kg/m^3)$
jeemain
eamcet
physics
2004
q15
asked
Nov 13, 2013
by
meena.p
1
answer
Water in a river 20 m deep is flowing at a speed of $10\;ms^{-1}$. The shearing stress between the horizontal layers of water in the river in $Nm^{-2}$ is : (Coefficient of viscosity of water $=10^{-3}SI$ units)
jeemain
eamcet
physics
2004
q14
asked
Nov 13, 2013
by
meena.p
0
answers
One end of a uniform glass capillary tube of radius $r=0.025\;cm$ is immersed vertically in water to a depth $h=1\;cm$. The excess pressure in $N/m^2$ required to blow an air bubble out of the tube: (Surface tension of water$= 7 \times 10^{-2} N/m$ Density of water$= 10^3 kg/m^3$ Acceleration due to gravity $=10 m/s^2$)
jeemain
eamcet
physics
2004
q13
asked
Nov 13, 2013
by
meena.p
1
answer
One end of a uniform glass capillary tube of radius $r=0.025\;cm$ is immersed vertically in water to a depth $h=1\;cm$. The excess pressure in $N/m^2$ required to blow an air bubble out of the tube: (Surface tension of water$= 7 \times 10^{-2} N/m$ Density of water$= 10^3 kg/m^3$ Acceleration due to gravity $=10 m/s^2$)
jeemain
eamcet
physics
2004
q13
asked
Nov 13, 2013
by
meena.p
0
answers
A metalic ring of radius r and cross sectional area A is fitted into a wooden circular disc of radius $R(R > 1)$. If the Young's modulus of the material of the ring is Y, the force with which the metal ring expands is :
jeemain
eamcet
physics
2004
q12
asked
Nov 13, 2013
by
meena.p
1
answer
The time period of a simple pendulum is T. When the length is increased by 10 cm,its period is $T_1$. When the length is decreased by 10 cm, its period is $T_2$. Then, the relation between $T,T_1\;and T_2$ is :
jeemain
eamcet
physics
2004
q11
asked
Nov 13, 2013
by
meena.p
1
answer
The escape velocity of a body on the earth's surface is $v_e$. A body is thrown up with a speed $\sqrt 5 v_c$. Assuming that the sun and planets do not influence the motion of the body, velocity of the body at infinite distance, is :
jeemain
eamcet
physics
2004
q10
asked
Nov 13, 2013
by
meena.p
1
answer
A particle of mass 1 kg is projected with an initial velocity $10\;ms^{-1}$ at an angle of projection $45^{\circ}$ with the horizontal. The average torque acting on the projectile, between the time at which it is projected and the time at which it strikes the ground, about the point of projection in newton-meter is :
jeemain
eamcet
physics
2004
q9
asked
Nov 13, 2013
by
meena.p
1
answer
A thin uniform square lamina of side a is placed in the xy-plane with its sides parallel to x and y-axes and with its center coinciding with origin. Its moment of inertia about an axis passing through a point on the y-axis at a distance $y=2a$ and parallel to x-axis is equal to its moment of inertia about an axis passing through a point on the x-axis at a distance $x=d$ and perpendicular to xy-plane. Then value of d is :
jeemain
eamcet
physics
2004
q8
asked
Nov 13, 2013
by
meena.p
1
answer
Consider the following statements A and B and identify the correct answer:A : When a person walks on a rough surface the direction of frictional force exerted by the surface on the person is opposite to the direction of his motion. B : When a cycle is in motion, the force of friction exerted by the ground on the front wheel is in the backward direction:
jeemain
eamcet
physics
2004
q7
asked
Nov 13, 2013
by
meena.p
1
answer
Two particles of equal mass have velocities $\overrightarrow {v_1}=4 \hat i$ and $\overrightarrow{v_2} =4 \hat j ms^{-1}$. First particle has an acceleration $\overrightarrow{a_1}=(5 \hat i+5 \hat j)ms^{-2}$ while the accleration of the other particle is zero. The center of mass of the two particles moves in a path of :
jeemain
eamcet
physics
2004
q6
asked
Nov 13, 2013
by
meena.p
1
answer
The block of mass 2 kg is initially at rest on a horizontal force $\overrightarrow {F}=(9-x^2) \hat i$ newtons acts on it, when the block is at $x=0$. The maximum kinetic energy of the block between $x=0$ and $x=3m$ in joule is :
jeemain
eamcet
physics
2004
q5
asked
Nov 13, 2013
by
meena.p
1
answer
A 2 kg ball moving at $24 ms^{-1}$ undergoes inelastic head-on collision with a 4 kg ball moving in the opposite direction at $48\;ms^{-1}$. If the coefficient of restitution is $2/3$, their velocities in $ms^{-1}$ after impact are :
jeemain
eamcet
physics
2004
q4
asked
Nov 13, 2013
by
meena.p
1
answer
The horizontal and vertical displacements x and y of a projectile at a given time t are given by $x=6t$ meter and $y=8 t -5t^2$ metre. The range of the projectile in meter is :
jeemain
eamcet
physics
2004
q3
asked
Nov 13, 2013
by
meena.p
1
answer
At a given instant of time two particles are having the position vectors $4 \hat i+4 \hat j+57 \hat k$ metres and $2 \hat i+2 \hat j+5 \hat k$ respectively. If the velocity of the first particle be $0.4 \hat i ms^{-1},$ the velocity of second particle in meter per second if they collide after 10 sec is :
jeemain
eamcet
physics
2004
q2
asked
Nov 13, 2013
by
meena.p
1
answer
The position of a particle at time t is given by the equation $x(t) =\large\frac{v_0}{A}$$(1-e^{At})\; v_0=$ constant and $A > 0$ . Dimensions of $v_0$ and $A$ respectively are:
jeemain
eamcet
physics
2004
q1
asked
Nov 13, 2013
by
meena.p
0
answers
Solve the differential equation $\large\frac{d^2y}{dx^2}\normalsize=\sin 2x$
isc
class12
modelpaper
2004
part-2
sec-d
q16
q16-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Using DeMoivre's theorem find the value of $(2-2i)^{\large\frac{1}{3}}$.
isc
class12
modelpaper
2004
part-2
sec-d
q16
16-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Solve the differential equation $(1-x^2)\large\frac{dy}{dx}\normalsize-xy=x$. Given $y=2$ when $x=0$.
isc
class12
modelpaper
2004
part-2
sec-d
q15
q15-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Given $z=x+iy$ and $z_1=1+2i$ determine the region in the complex plane represented by $I<\mid z-z_1\mid\leq 3$.Represent it on the Argand plane.
isc
class12
modelpaper
2004
part-2
sec-d
q15
q15-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
If $z=x+iy$ and $\mid 2z+1\mid=\mid z-2i\mid$ show that $3(x^2+y^2)+4(x+y)=3.$
isc
class12
modelpaper
2004
part-2
sec-d
q14
q14-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Solve the differential equation $2\large\frac{dy}{dx}\normalsize=\large\frac{y}{x}\normalsize+\large\frac{y^2}{x^2}$ by substituting $y=vx$.
isc
class12
modelpaper
2004
part-2
sec-d
q14
q14-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
A bag has 4 red and 5 black balls,a second bag has 3 red and 7 black balls.One ball is drawn from the first bag and two from the second.Find the probability that two balls are black and one is red.
isc
class12
modelpaper
2004
part-2
sec-c
q13
q13-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
A dice is tossed three times.Getting a '3' or a '5' is considered a success.Find the probability of at least two successes.
isc
class12
modelpaper
2004
part-2
sec-c
q13
q13-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Calculate the lower $(Q_1$) and upper $(Q_3)$ quartiles for the following distribution :
isc
class12
modelpaper
2004
part-2
sec-c
q12
q12-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
The number of letters in hundreds received in a town on each day of a fortnight is given below :
isc
class12
modelpaper
2004
part-2
sec-c
q12
q12-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
The mathematical aptitude score (MAS) of ten computer programmers with job performance rating (JPR) is given below.Calculate Spearman's rating of rank correlation and state whether those who have aptitude for maths are likely to be better programmers.
isc
class12
modelpaper
2004
part-2
sec-c
q11
asked
Apr 19, 2013
by
sreemathi.v
0
answers
If a,b,c are elements of Boolean Algebra,prove that $ab+c(a'+b')=ab+c$.
isc
class12
modelpaper
2004
part-2
sec-b
q10
q10-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Write the Boolean expression for the following circuit :
isc
class12
modelpaper
2004
part-2
sec-b
q10
q10-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Prove the right cancellation law in a group.
isc
class12
modelpaper
2004
part-2
sec-b
q9
q9-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Consider the non empty set S={0,1,2,3,4}.Show that $(S,\oplus_5)$ is a group where $\oplus_5$ represents addition modulo 5.Also find 'x' if $x\oplus_5$ 3=4,$x\in S$.
isc
class12
modelpaper
2004
part-2
sec-b
q9
q9-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Find the unit vector perpendicular to the two vectors $\overrightarrow{i}+2\overrightarrow{j}-\overrightarrow{k}$ and $2\overrightarrow{i}+3\overrightarrow{j}+\overrightarrow{k}$.
isc
class12
modelpaper
2004
part-2
sec-b
q8
q8-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Show that the sum of the squares on the sides a parallelogram is equal to the sum of the squares on the diagonals of the parallelogram.
isc
class12
modelpaper
2004
part-2
sec-b
q8
q8-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
If $x=\sin^3t$ and $y=a\cos^3t$,find $\large\frac{dy}{dx}$.
isc
class12
modelpaper
2004
part-2
sec-a
q7
q7-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Sketch and shade the area of the region lying in the first quadrant and bound by $y=9x^2,x=0,y=1$ and $y=4$.Find the area of the shaded region.
isc
class12
modelpaper
2004
part-2
sec-a
q7
q7-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
A closed circular cylinder has a volume of 2156c.c.What will be the radius of its base so that its total surface area is minimum.Find the height of the cylinder when its total surface area is minimum.
isc
class12
modelpaper
2004
part-2
sec-a
q6
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Evaluate :$\Large \int_{\normalsize 0}^{\large \frac{1}{2}} \large \frac{\sin^{-1}x}{(1-x^2)^\frac{3}{2}}$$dx$
isc
class12
modelpaper
2004
part-2
sec-a
q5
q5-b
asked
Apr 18, 2013
by
sreemathi.v
0
answers
show that the function $f(x)=x^2-6x+1$ satisfies the Lagrange's Mean value Theoem.Also find the co-ordinate of a point at which the tangent to the curve represented by the above function is parallel to the chord joining A(1,-4) and B(3,-8).
isc
class12
modelpaper
2004
part-2
sec-a
q5
q5-a
asked
Apr 18, 2013
by
sreemathi.v
0
answers
Find the equation of a plane through the point (-1,-1,2) and perpendicular to the planes $3x+2y-3z=1$ and $5x-4y+z=5.$
isc
class12
modelpaper
2004
part-2
sec-a
q4
q4-b
asked
Apr 18, 2013
by
sreemathi.v
0
answers
Find the radius of the circular section of the sphere $x^2+y^2+z^2=49$ cut by a plane $2x+3y-z-5\sqrt{14}=0.$
isc
class12
modelpaper
2004
part-2
sec-a
q4
q4-a
asked
Apr 18, 2013
by
sreemathi.v
0
answers
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