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Recent questions tagged 2013
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Two short bar magnets of length 1 cm each have magnetic moments $1.20\; Am^2$ and $1.00\; Am^2 $ respectively. They are placed on a horizontal table parallel to each other with their N poles pointing towards the South. They have a common magnetic equator and are separated by a distance of 20.0 cm. The value of the resultant horizontal magnetic induction at the mid - point O of the line joining their centres is close to (Horizontal component of earth’s magnetic induction is $3.6 \times 10^{–5} Wb/m^2$)
jeemain
physics
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2013
90
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The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of electric field strength is :
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physics
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2013
89
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Diameter of plano-convex lens is 6 cm and thickness at the centre is 3 mm. If speed of light in material of lens is $2 \times 10^8$ m/s, the focal length of the lens is :
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physics
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2013
88
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The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to $\alpha$ times its original magnitude, where $\alpha$ equals
jeemain
physics
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2013
87
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This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement – I : A point particle of mass m moving with speed v collides with stationary point particle of mass M. If the maximum energy loss possible is given as $f (\frac{1}{2} mv^2 )$ then $f = (\frac{m}{M+m})$. Statement – II : Maximum energy loss occurs when the particles get stuck together as a result of the collision.
jeemain
physics
past papers
2013
86
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The I – V characteristic of an LED is
jeemain
physics
past papers
2013
85
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ago
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pady_1
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If a piece of metal is heated to temperature $\theta$ and then allowed to cool in a room which is at temperature $\theta_0$ the graph between the temperature T of the metal and time t will be closest to :
jeemain
physics
past papers
2013
84
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2 days
ago
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pady_1
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A circular loop of radius 0.3 cm lies parallel to a much bigger circular loop of radius 20 cm. The centre of the small loop is on the axis of the bigger loop. The distance between their centres is 15 cm. If a current of 2.0 A flows through the smaller loop, then the flux linked with bigger loop is
jeemain
physics
past papers
2013
83
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2 days
ago
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pady_1
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A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is: <br> <img src="http://clay6.com/mpaimg/1013_a.jpg "/>
jeemain
physics
past papers
2013
82
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2 days
ago
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An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and cylinder have equal cross sectional area A. When the piston is in equilibrium, the volume of the gas is $V_0$ and its pressure is $P_0$. The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency:
jeemain
physics
past papers
2013
81
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2 days
ago
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A hoop of radius r and mass m rotating with an angular velocity $\omega_0$ is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?
jeemain
physics
past papers
2013
80
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2 days
ago
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pady_1
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Two capacitors $C_1$ and $C_2$ are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then :
jeemain
physics
past papers
2013
79
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2 days
ago
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A projectile is given an initial velocity of $(\hat{i} + 2 \hat{j}) m/s$, where $\hat{i}$ is along the ground and ˆj is along the vertical. If $g = 10 m/s^2$, the equation of its trajectory is:
jeemain
physics
past papers
2013
78
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ago
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What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?
jeemain
physics
past papers
2013
77
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2 days
ago
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This question has statement I and statement II. Of the four choices given after the statements, choose the one that best describes the two statements. <br> Statement- I: Higher the range, greater is the resistance of ammeter. <br> Statement- II: To increase the range of ammeter, additional shunt needs to be used across it.
jeemain
physics
past papers
2013
76
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2 days
ago
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pady_1
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A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1 %. What is the fundamental frequency of steel if density and elasticity of steel are $7.7 \times 10^3 \;kg/m^3$ and $2.2 \times 10^{11}N/m^2$ respectively?
jeemain
physics
past papers
2013
75
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2 days
ago
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pady_1
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<img src="http://clay6.com/mpaimg/1012_a.jpg"/> <br> The above p-v diagram represents the thermodynamic cycle of an engine, operating with an ideal monoatomic gas. The amount of heat extracted from the source in a single cycle is
jeemain
physics
past papers
2013
74
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ago
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pady_1
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Let $[\varepsilon_0]$ denote the dimensional formula of the permittivity of vaccum. If M = mass, L = length, T = time and A = electric current, then :
jeemain
physics
past papers
2013
73
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ago
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pady_1
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answers
The graph between angle of deviation (δ) and angle of incidence (i) for a triangular prism is represented by:
jeemain
physics
past papers
2013
72
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2 days
ago
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pady_1
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Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface tension is T, density of liquid is $\rho$ and $L$ is its latent heat of vaporization.
jeemain
physics
past papers
2013
71
asked
2 days
ago
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pady_1
0
answers
In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n – 1). If n >> 1, the frequency of radiation emitted is proportional to
jeemain
physics
past papers
2013
70
asked
2 days
ago
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pady_1
0
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A metallic rod of length $‘l’$ is tied to a string of length $2l$ and made to rotate with angular speed $\omega$ on a horizontal table with one end of the string fixed. If there is a vertical magnetic field ‘B’ in the region, the e.m.f. induced across the ends of the rod is: <br> <img src="http://clay6.com/mpaimg/1007_a.jpg "/>
jeemain
physics
past papers
2013
69
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2 days
ago
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pady_1
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Two coherent point sources $S_1$ and $S_2$ are separated by a small distance ‘d’ as shown. The fringes obtained on the screen will be: <br> <img src="http://clay6.com/mpaimg/1006_a.jpg "/>
jeemain
physics
past papers
2013
68
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ago
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pady_1
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The anode voltage of a photocell is kept fixed. The wavelength $\lambda$ of the light falling on the cathode is gradually changed. The plate current I of the photocell varies as follows:
jeemain
physics
past papers
2013
67
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2 days
ago
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pady_1
0
answers
A beam of unpolarised light of intensity $I_{_0}$ is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of $45^{\circ}$ relative to that of A. The intensity of the emergent light is:
jeemain
physics
past papers
2013
66
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2 days
ago
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pady_1
0
answers
Two charges, each equal to q, are kept at $x = -a$ and $x= a$ on the x-axis. A particle of mass m and charge $q_{_0} = \frac{q}{2}$ is placed at the origin. If charge $q_{_0}$ is given a small displacement ( y a) along the y-axis, the net force acting on the particle i proportional to :
jeemain
physics
past papers
2013
65
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2 days
ago
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pady_1
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A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density $\sigma$ at equilibrium position. The extension $x_0$ of the spring when it is in equilibrium is: <br> (Here k is spring constant)
jeemain
physics
past papers
2013
64
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2 days
ago
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pady_1
0
answers
The supply voltage to a room is 120 V. The resistance of the lead wires is 6 $\Omega$. A 60 W bulb is already switched on. What is the decrease of voltage across the bulb, when a 240 W heater is switched on in parallel to the bulb?
jeemain
physics
past papers
2013
63
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2 days
ago
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pady_1
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answers
A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated frequency which could be detected by it.
jeemain
physics
past papers
2013
62
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2 days
ago
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pady_1
0
answers
In an LCR circuit as shown below both switches are open initially. Now switch $S_1$ is closed, $S_2$ kept open. (q is charge on the capacitor and $\tau = RC$ is capacitive time constant). Which of the following statement is correct? <br> <img src="http://clay6.com/mpaimg/1001_a.jpg"/>
jeemain
physics
past papers
2013
61
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2 days
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pady_1
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The term independent of $x$ is expansion of $\begin{pmatrix} \frac{x+1}{x^{2/3}-x^{1/3} + 1 } - \frac{x-1}{x - x^{1/2}} \end{pmatrix}^{10}$ is
jeemain
math
past papers
2013
60
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2 days
ago
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pady_1
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Distance between two parallel planes $2x + y + 2z = 8$ and $4x + 2y + 4z + 5 = 0$ is
jeemain
math
past papers
2013
59
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2 days
ago
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pady_1
0
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If the equation $x^2 + 2x + 3 = 0$ and $ax^2 + bx + c = 0, a, b, c \in R$, have a common root, then a : b : c$ is
jeemain
math
past papers
2013
58
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2 days
ago
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pady_1
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The $z$ is a complex number of unit modulus an argument $\theta$, then $arg \begin{pmatrix}\frac{1+z}{1+ \overline{z}} \end{pmatrix}$ equals
jeemain
math
past papers
2013
57
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2 days
ago
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pady_1
0
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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
jeemain
math
past papers
2013
56
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2 days
ago
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pady_1
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answers
If the vectors $\overline{AB} = 3 \hat{i} + 4 \hat{k}$ and $\overline{AC} = 5 \hat{i} - 2 \hat{j} + 4 \hat{k}$ are the sides of a triangles ABC, then the length of the median through A is
jeemain
math
past papers
2013
55
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2 days
ago
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pady_1
0
answers
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
jeemain
math
past papers
2013
54
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2 days
ago
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pady_1
0
answers
If the lines $\frac{x-2}{1} = \frac{y-3}{1} = \frac{z-4}{-k}$ and $\frac{x-1}{k} = \frac{y-4}{2} = \frac{z-5}{1}$ are coplanar, then $k$ can have
jeemain
math
past papers
2013
53
asked
2 days
ago
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pady_1
0
answers
If $y = \sec(\tan^{-1}x)$, then $\frac{dy}{dx} $ at $x=1$ is equal to
jeemain
math
past papers
2013
52
asked
2 days
ago
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pady_1
0
answers
The numbers of values of k, for which the system of equations <br> $( k + 1) x + 8y = 4k $ <br> kx + (k + 3)y = 3k - 1$ <br> has no solution, is
jeemain
math
past papers
2013
51
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2 days
ago
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pady_1
0
answers
If $P = \begin{bmatrix} 1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 \end{bmatrix}$ is the adjoint of a $3 \times 3$ matrix A and $|A| = 4$, then $\alpha$ is equal to
jeemain
math
past papers
2013
50
asked
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ago
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pady_1
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Statement -I : The value of the integral $\begin{align*} \int_{\pi/6}^{\pi/3} \frac{dx}{1+\sqrt{\tan x} } \end{align*}$ is equal to $\frac{\pi}{6}$. <br> Statement-II : $\begin{align*} \int_a^b f(x) dx = \int_a^b f(a+b-x) dx \end{align*}$
jeemain
math
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2013
49
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2 days
ago
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pady_1
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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 $\frac{dP}{dx} = 100 - 12\sqrt{x}$. If the firm employs 25 more workers, then the new level of production of items is
jeemain
math
past papers
2013
48
asked
2 days
ago
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pady_1
0
answers
Let $T_n$ be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If $T_{n+1} - T_n = 10$, then the value of $n$ is
jeemain
math
past papers
2013
47
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2 days
ago
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pady_1
0
answers
$\displaystyle{\lim_{x \to 0} \frac{(1 - \cos 2x) ( 3 + \cos x)}{ x \tan 4 x}}$ is equal to
jeemain
math
past papers
2013
46
asked
2 days
ago
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pady_1
0
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The real number $k$ for which the equation, $2x^3 + 3x+ k = 0$ has two distinct real roots in $[0, 1]$
jeemain
math
past papers
2013
45
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ago
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The expression $\frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A} $ can be written as
jeemain
math
past papers
2013
44
asked
2 days
ago
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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
jeemain
math
past papers
2013
43
asked
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ago
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pady_1
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Consider : <Br> Statement -I : $(P \wedge \sim q ) \wedge ( \sim p \wedge q )$ is a fallacy. <br> Statement-II : $(p \to q) \leftrightarrow ( \sim q \to \sim p)$ is a tautology.
jeemain
math
past papers
2013
42
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2 days
ago
by
pady_1
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The sum of first 20 terms of the sequence 0.7, 0.77, 0.777, ….. , is
jeemain
math
past papers
2013
41
asked
2 days
ago
by
pady_1
0
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