Recent questions tagged 2008

In galvanometer $5\%$ of the total current in the circuit passes through it. If the resistance of the galvanometer is G the shunt resistance 'S' connected to the galvanometer is

asked Oct 20, 2013 by meena.p

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A copper constantan thermocouple produces an e.m.f of $40\;\mu V$ per $^{\circ}C$. The smallest temperature difference that can be measured with this thermocouple is $42.5 ^{\circ}C$, When a galvanometer capable of detecting as low as $10^{-6}\;amp$ is employed. The resistances of that galvanometer is

asked Oct 20, 2013 by meena.p

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When a battery connected across a resistor of $416 \Omega$, the voltage across the resistor is 12 V. When the same battery is connected across a resistor of $10 \Omega$, Voltage across it is 11V. The internal resistance of the battery in Ohms is

asked Oct 20, 2013 by meena.p

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A current of 2 A. flows in an electric circuit as shown in figure. The potential difference $(V_R-V_s)$, in volts ($V_R$ and $V_s$ are potentials at R and S respectively ) is

asked Oct 20, 2013 by meena.p

1 answer

Two charges $+q$ and $-q$ are kept apart. Then at any point on the right bisector of line joining the two charges.

asked Oct 20, 2013 by meena.p

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A change of $1 \mu C$ is divided into two parts such that their charges are in the ratio of $2:3$. These two charges are kept at a distance 1 m apart in vacuum. Then, the electric force between them (in Newtons) is

asked Oct 20, 2013 by meena.p

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The magnetised wire of moment 'M' and length 'l' is bent in the form of semicircle of rdius 'r'. then its magnetic moment is

asked Oct 20, 2013 by meena.p

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With a standard rectangular bar magnet the time period of a vibration magnetometer is 4 seconds. The bar magnet is cut parallel to its length into four equal pieces. The time period of vibration magnetometer when one piece is used (in seconds) (bar magnet breadth is small ) is

asked Oct 20, 2013 by meena.p

1 answer

In Fraunhoffer diffraction experiment , L is the distance between screen and the obstacle, b is the size of the obstacle and $\lambda$ is wavelength of incident light. The general condition for the applicability of Frauhoffer diffraction is

asked Oct 18, 2013 by meena.p

1 answer

An achromatic combination of lenses produces

asked Oct 18, 2013 by meena.p

1 answer

Statement (S) : Using Huygen's eye piece measurement can be taken but are not correct. Reason(R) : The cross wires, scale and final image are not magnified proportionately because the image of the object is magnified by two lenses, whereas the cross wire scale is magnified by one lens only.Identify the correct one of the following :

asked Oct 18, 2013 by meena.p

1 answer

The refractive index of a material of a plano concave lens is $\large\frac{5}{3}$, the radius of curvature is $0.3\;m$. The focal length of the lens in air is

asked Oct 18, 2013 by meena.p

1 answer

A car is moving with a speed of 72 kmph towards a hill. Car blows horn at a distance of 1800 m from the hill. If echo is heard after 10 seconds, the speed of sound (in m/sec.) is

asked Oct 18, 2013 by meena.p

1 answer

When a sound wave of wavelength $'\lambda'$ is propagating in a medium, the maximum velocity of the particle is equal to the wave velocity. The amplitude of wave is

asked Oct 18, 2013 by meena.p

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Two slabs A and B of equal surface area are placed one over the other such that their surfaces are completely in contact. The thickness of slab A is twice that of B. The coefficient of thermal conductiviy of slab A is twice that of B. The first surface of slab A is maintained at $100^{\circ}C$, while the second surface of slab B is maintained at $25^{\circ}$. The temperature at the contact of their surfaces is

asked Oct 18, 2013 by meena.p

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Which of the following is true in the case of an adiabatic process , where $ \gamma=Cp/Cv?$

asked Oct 18, 2013 by meena.p

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In the adiabatic compression, the decrease in volume is associated with

asked Oct 18, 2013 by meena.p

1 answer

There is some change in length when a 33000 N tensile force is applied on a steel rod of area of cross- section $10^{-3}m^2.$ The change of temperature required to produce the same elongation if the steel rod is heated, is (The modulus of Elasticity is $3 \times 10^{11}\;N/m^2$ and the coefficient of linear expansion of steel is $1.1 \times 10^{-5}/^{\circ}C)$.

asked Oct 18, 2013 by meena.p

1 answer

One litre of oxygen at a pressure of 1 atm. and two litres of nitrogen at a pressure of $0.5\;atm.$ are introduced into a vessel of volume 1 litre. If there is no change in temperature, the final pressure of the mixture of gas (in atm) is

asked Oct 18, 2013 by meena.p

1 answer

Two rain drops reach the Earth different terminal velocities having ratio $9:4$. Then the ratio of their volume is

asked Oct 18, 2013 by meena.p

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The surface tension of soap solution is $0.03 N/m$. The work done in blowing to form a soap bubble of surface area $40\;cm^2$, in Joules, is

asked Oct 18, 2013 by meena.p

1 answer

A load of 1 kg weight is attached to one of a steel wire of area of cross- section $3\; mm ^2$ and young's modulus $10^{11}\;Nm^2$. The other end is suspended vertically from a book on a wall, then the load is pulled horizontally and released. When the load passes through its lowest position the fractional change in length is $(g= 10 m/sec^2)$

asked Oct 18, 2013 by meena.p

1 answer

A particle is execting simple harmonic motion with an amplitude A and time period T. The displacement of the particles after 2T period from its initial position is

asked Oct 18, 2013 by meena.p

1 answer

The orbit of geo-stationary satellite is circular, the time period of satellite depends on (a) mass of the satellite (b) mass of the Earth (c) radius of the orbit (d) height of the satellite from the surface of Earth Which of the following is correct?

asked Oct 18, 2013 by meena.p

1 answer

The moment of inertia of a thin circular disc about an axis passing through its centre and perpendicular to its diameter and touching the edge of the rim is

asked Oct 18, 2013 by meena.p

2 answers

A steel wire can withstand a load up to 2940 N. A load of 150 kg. is suspended from a rigid support. The maximum angle through which the wire cam be displaced from the mcan position, so that the wire does not break when the load passes through the position of equilibrium, is

asked Oct 18, 2013 by meena.p

1 answer

Starting from rest, the time taken by a body sliding down on a rough inclined plane at $45^{\circ}$ with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is

asked Oct 18, 2013 by meena.p

0 answers

Two particles A and B initially at rest, move towards each other, under mutual force of attraction. At an instance when the speed of A is 'v' and speed of B is '2v', the speed of centre of mass (c.m) is

asked Oct 18, 2013 by meena.p

1 answer

A ball is dropped from a height 'h' on a floor of coefficient of restitution 'e'. The total distance covered by the ball just before second hit is

asked Oct 18, 2013 by meena.p

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A river of salty water is flowing with a velocity 2 m/sec. If the density of the water is $1.2\;gm/c.c$, then the kinetic energy of each cubic metre of water is

asked Oct 18, 2013 by meena.p

1 answer

If a body is projected with an angle $\theta$ to the horizontal, then

asked Oct 18, 2013 by meena.p

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A body thrown vertically up to reach its maximum height in t seconds. The total time from the time of projection to reach a point at half of its maximum height while returning (in seconds) is

asked Oct 18, 2013 by meena.p

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The component of vector $\bar {A}= a_x \hat i + a _y \hat j + a _z \hat k$ along the direction of $\hat i- \hat j$ is

asked Oct 18, 2013 by meena.p

1 answer

The energy (E), angular momentum (L) and universal gravitational constant(G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planks constant (h) is

asked Oct 18, 2013 by meena.p

1 answer

The solution of the differential equation $xy^2 dy-(x^3+y^3)dx=0$ is

asked Oct 18, 2013 by meena.p

1 answer

The solution of the differential equation $\large\frac{dy}{dx}$$-y \tan x=e^x \sec x$ is

asked Oct 18, 2013 by meena.p

1 answer

The solution of the differential equation $\large\frac{dy}{dx}=\frac{x-2y+1}{2x-4y}$ is :

asked Oct 18, 2013 by meena.p

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The solution of the different equation $\large\frac{dy}{dx}=\frac{xy+y}{xy+x}$ is

asked Oct 18, 2013 by meena.p

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The area (in square units) of the region bounded by the curves $2x=y^2-1$ and $x=0$ is

asked Oct 18, 2013 by meena.p

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$\int \limits_{-\pi/2}^{\pi/2} \sin |x| dx=$

asked Oct 18, 2013 by meena.p

1 answer

$\int \limits _0^1 x^{3/2} \sqrt {1-x}dx=$

asked Oct 18, 2013 by meena.p

1 answer

If $\int e^x(1+x). \sec^2(xe^x)dx-f(x)+constant$ then $f(x)=$

asked Oct 18, 2013 by meena.p

1 answer

If $I_n =\int x^n. e^{ex} dx $ for $ n \geq 1$ then $C.I_n+n.I_{n-1}=$

asked Oct 18, 2013 by meena.p

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If $ \int e^x \bigg(\large\frac{1- \sin x}{1-\cos x}\bigg)$$dx-f(x)+constant$ then $f(x)=$

asked Oct 18, 2013 by meena.p

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If $z= \sec^{-1} \bigg(\large\frac{x^4+y^4-8x^2y^2}{x^2+y^2}\bigg)$ then $x \large\frac{dz}{dx}$$+ y \large\frac{dz}{dy}=$

asked Oct 18, 2013 by meena.p

1 answer

The length of the sub tangent at (2,2) to the curve $x^5 =2y^4$ is :

asked Oct 18, 2013 by meena.p

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If m and M respectively denote the minimum and maximum of $f(x)=(x-1)^2+3$ for $x \in [-3,1]$ then the ordered pair $(n,M)$-

asked Oct 18, 2013 by meena.p

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The angle between the curves $y^2=4x+4$ and $y^2=36(9-x)$ is

asked Oct 18, 2013 by meena.p

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The equation to the normal to the curve $y^4=ax^3$ at $(a,a)$ is

asked Oct 17, 2013 by meena.p

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If $y=\sin (\log _e x)$ then $x^2 \large\frac{d^2y}{dx^2}+ x \large\frac{dy}{dx}=$

asked Oct 17, 2013 by meena.p

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