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Recent questions tagged 2003
Questions
A charge q is located at the centre of a cube. <br> The electric flux through any face is -
neet
physics
past papers
2003
24
asked
Jul 24, 2018
by
pady_1
1
answer
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is -
neet
physics
past papers
2003
23
asked
Jul 24, 2018
by
pady_1
1
answer
Consider a compound slab consisting of two different materials having equal thicknesses and thermal conductivities K and 2K, respectively. The equivalent thermal conductivity of the slab is -
neet
physics
past papers
2003
22
asked
Jul 24, 2018
by
pady_1
1
answer
An ideal gas heat engine operates in a carnot cycle between $227^{\circ}C$ and $127^{\circ}C$. It absorbs 6 kcal at the higher temperature. The amount of heat (in kcal) converted into work is equal to -
neet
physics
past papers
2003
21
asked
Jul 24, 2018
by
pady_1
1
answer
We consider the radiation emitted by the human body. Which of the following statements is true :
neet
physics
past papers
2003
20
asked
Jul 24, 2018
by
pady_1
1
answer
A equiconvex lens is cut into two halves along (i) XOX' and (ii) YOY' as shown in the figure. Let f, f' f" be the focal lengths of the complete lens, of each half in case (i), and of each half in case (ii), respectively Choose the correct statement from the following-
neet
physics
past papers
2003
19
asked
Jul 24, 2018
by
pady_1
1
answer
In case of a forced vibration, the resonance wave becomes very sharp when the :
neet
physics
past papers
2003
18
asked
Jul 24, 2018
by
pady_1
1
answer
A particle of mass m oscillates with simple harmonic motion between points $x_1$ and $x_2$, the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph :
neet
physics
past papers
2003
17
asked
Jul 24, 2018
by
pady_1
1
answer
The time period of a mass suspended from a spring is T. If is the spring is cut into four equal parts and the same mass is suspend from one of the parts, then the new time period will be -
neet
physics
past papers
2003
16
asked
Jul 24, 2018
by
pady_1
1
answer
An observer moves towards a stationary source of sound with a speed $1/5^{th}$ of the speed of sound. The wavelength and frequency of the source emitted are $\lambda$ and $f$ respectively. The apparent frequency and wavelength recorded by the observer are respectively :
neet
physics
past papers
2003
15
asked
Jul 24, 2018
by
pady_1
1
answer
A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will
neet
physics
past papers
2003
14
asked
Jul 24, 2018
by
pady_1
2
answers
A man throws ball with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time ? (Given $g = 9.8 m/s^2$)
neet
physics
past papers
2003
13
asked
Jul 24, 2018
by
pady_1
1
answer
Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses in now filled with a liquid of specific density 3. The gravitational force will now be :
neet
physics
past papers
2003
12
asked
Jul 24, 2018
by
pady_1
2
answers
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces :
neet
physics
past papers
2003
11
asked
Jul 24, 2018
by
pady_1
1
answer
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is K. If radius of the ball be R, then the fraction of total energy associated with its rotational energy will be :
neet
physics
past papers
2003
10
asked
Jul 24, 2018
by
pady_1
1
answer
A man weighs 80 kg He stands on a weighing scale in a lift which is moving upwards with a uniform acceleration of $5m/s^2$. What would be the reading on the scale ? ($g = 10 m/s^2$)
neet
physics
past papers
2003
9
asked
Jul 24, 2018
by
pady_1
2
answers
A monkey of mass 20 kg is holding a vertical rope. The rope will not break when a mass of 25 kg is suspended from it but will break if the mass exceeds 25 kg. What is the maximum acceleration with which the monkey can climb up along the rope ? ($g = 10 m/s^2$)
neet
physics
past papers
2003
8
asked
Jul 24, 2018
by
pady_1
1
answer
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B.
neet
physics
past papers
2003
7
asked
Jul 24, 2018
by
pady_1
1
answer
When a long spring is stretched by 2 cm, its potential energy is U. If the spring is stretched by 10 cm, the potential energy stored in it will be :
neet
physics
past papers
2003
6
asked
Jul 24, 2018
by
pady_1
1
answer
A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom -
neet
physics
past papers
2003
5
asked
Jul 24, 2018
by
pady_1
1
answer
A stationary particle explodes into two particles of masses $m_1$ and $m_2$ which move in opposite directions with velocities $v_1$ and $v_2$. The ratio of their kinetic energies $\frac{E_1}{E_2}$ is :
neet
physics
past papers
2003
4
asked
Jul 24, 2018
by
pady_1
1
answer
A thin circular ring M and radius ‘r’ is rotating about its axis with a constant angular velocity $\omega$. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be -
neet
physics
past papers
2003
3
asked
Jul 24, 2018
by
pady_1
1
answer
A particle moves along a circle of radius $\frac{20}{\pi}$ m with constant tangential acceleration. If the velocity of the particle is $80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is : -
neet
physics
past papers
2003
2
asked
Jul 24, 2018
by
pady_1
1
answer
If a ball is thrown vertically upwards with speed u, the distance covered during the last ‘t’ seconds of its ascent is :
neet
physics
past papers
2003
1
asked
Jul 24, 2018
by
pady_1
1
answer
Using Demoivre's theorem,find the least value of n for which $\bigg(\large\frac{i+\sqrt 3 i}{\sqrt 2(1+i)}\bigg)^n$ is purely imaginary.
isc
class12
modelpaper
2003
part-2
sec-d
q16
q16-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Solve : $(1+y+x^2y)dx+(x+x^3)dy=0$
isc
class12
modelpaper
2003
part-2
sec-d
q16
q16-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Solve : $\large \frac{d^2y}{dx^2}\normalsize =\log x$
isc
class12
modelpaper
2003
part-2
sec-d
q15
q15-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the real values of $x$,$y$ satisfying the equality $\large \frac{x-2+(y-3)i}{1+i}\normalsize=1-3i$
isc
class12
modelpaper
2003
part-2
sec-d
q15
q15-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the locus of a complex number $z=x+iy$ satisfying the relation $\mid12z+3i\mid\geq \mid 2z+5\mid$.Illustrate the locus in the Argand plane.
isc
class12
modelpaper
2003
part-2
sec-d
q14
q14-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Solve : $\large\frac{dy}{dx}=\frac{(1+\cos ^2x)\sin^2y}{(1+\sin^2y)\cos^2x}$
isc
class12
modelpaper
2003
part-2
sec-d
q14
q14-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
A problem in mathematics is given to three students A,B and C.Their chances of solving the problem are $\large\frac{1}{3}$,$\large\frac{1}{4}$ and $\large\frac{1}{5}$ respectively.Calculate the probability that the problem will be solved.
isc
class12
modelpaper
2003
part-2
sec-c
q13
q13-b
asked
Apr 22, 2013
by
sreemathi.v
1
answer
The probability that a contractor will get a plumbing contract is $\large\frac{2}{3}$ and an electric contract is $\large\frac{4}{9}$.If the probability of getting at least one contract is $\large\frac{4}{5}$,find the probability that he will get both the contracts.
isc
class12
modelpaper
2003
part-2
sec-c
q13
q13-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Construct the consumer price index number for 1990,taking 1989 as the base year and using simple average of price relative method for the following data :
isc
class12
modelpaper
2003
part-2
sec-c
q12
q12-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Sample of polythene bags from a manufacturer are tested by a buyer for bursting pressure with the following data :
isc
class12
modelpaper
2003
part-2
sec-c
q12
q12-a
asked
Apr 22, 2013
by
sreemathi.v
1
answer
A psychologist had a random sample of 22 students.He grouped them into 11 pairs.In each pair,one student was taught by method A and other by method B and were examined after the completion of the course.The marks obtained by them are tabulated below :
isc
class12
modelpaper
2003
part-2
sec-c
q11
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Prove that every element a in Boolean algebra has a unique inverse.
isc
class12
modelpaper
2003
part-2
sec-b
q10
10-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
$x,y$ and $z$ represent three switches in an position and $x^1,y^1$ and $z^1$ represent the three switches in an off position.Construct a switching circuit representing the polynomial $(x^1+y^1)(x+z^1)+y^1(y+z)$.Using the laws of Boolean algebra,show that the above polynomial is equivalent to $x^1z^1+y^1$ and construct an equivalent switching circuit.
isc
class12
modelpaper
2003
part-2
sec-b
q10
q10-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the value of $x$,if $1\ast(x\ast 2)=8$,where the operation $\ast$ is defined by $a\ast b=a+b+\large\frac{ab}{2}\normalsize,\forall a,b,\in R$.
isc
class12
modelpaper
2003
part-2
sec-b
q9
q9-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
A set $S=\{x : x\in R,x\neq -2 \}$ is given.A binary operation $ \ast $ on S is defined by $a \ast b=a+b+\large\frac{ab}{2}\normalsize,\forall a,b,\in R$.Prove that $(S,\ast)$ is an abelian group.
isc
class12
modelpaper
2003
part-2
sec-b
q9
q9-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the volume of the parallelopiped whose three co-terminus edges are represented by the vectors $\hat{i}+\hat{j}+\hat{k},\hat{i}-\hat{j}+\hat{k}$ and $\hat{i}+2\hat{j}-\hat{k}$
isc
class12
modelpaper
2003
part-2
sec-b
q8
q8-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
The position vectors of the vertices of a triangle are given as $2\hat{i}-\hat{j}+\hat{k},\hat{i}-3\hat{j}-5\hat{k}$ and $3\hat{i}-4\hat{j}-4\hat{k}$.Prove that it is a right-angled triangle.
isc
class12
modelpaper
2003
part-2
sec-b
q8
q8-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
If $y=e^{m\cos^{-1}x}$,prove that $(1-x^2)\large\frac{d^2y}{dx^2}-\normalsize x\large\frac{dy}{dx}\normalsize=m^2y.$
isc
class12
modelpaper
2003
part-2
sec-a
q7
q7-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Show that the area included between the $x$-axis and the curve $a^2y=x^2(x+a)$ is $\large\frac{a^2}{12}$.
isc
class12
modelpaper
2003
part-2
sec-a
q7
q7-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Three numbers are given whose sum is $180$ and the ratio between first two of them is $1: 2$.If the product of the number is greatest,find the numbers.
isc
class12
modelpaper
2003
part-2
sec-a
q6
asked
Apr 22, 2013
by
sreemathi.v
1
answer
A sphere $x^2+y^2+z^2-3ax-3by-3cz=0$ has a constant radius $3r$.It cuts the axes at the point A,B and C.Show that the centroid of the triangle ABC lies on the sphere $x^2+y^2+z^2=4r^2$
isc
class12
modelpaper
2003
part-2
sec-a
q5
q5-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Show that : $\sin^{-1}\large\frac{4}{5}\normalsize+\cos^{-1}\large\frac{2}{\sqrt 5}\normalsize =\cot^{-1}\large\frac{2}{11}$.
isc
class12
modelpaper
2003
part-2
sec-a
q5
q5-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the equation of the ellipse whose foci are at $(-2,4)$ and $(4,4)$ and whose major and minor axes are 10 and 8 respectively.Also find the eccentricity of the ellipse.
isc
class12
modelpaper
2003
part-2
sec-a
q4
q4-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
If pairs of straight lines $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other pair,prove that $pq=-1$.
isc
class12
modelpaper
2003
part-2
sec-a
q4
q4-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Using matrices,solve the following system of equations : $x+2y=5,y+2z=8,2x+z=5$.
isc
class12
modelpaper
2003
part-2
sec-a
q3
q3-b
asked
Apr 22, 2013
by
sreemathi.v
2
answers
Using properties of determinants,find the value of the following determinant : $\begin{vmatrix}x^3 & x^2 & x\\y^3 & y^2 & y\\z^3 & z^2 & z\end{vmatrix}$.
isc
class12
modelpaper
2003
part-2
sec-a
q3
q3-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
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