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The length of a sonometer wire between two fixed ends is 110cm. Where the two bridges should be placed so as to divide the wire into three segments whose fundamental frequencies are in the ratio of

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A particles moves such that its acceleration ‘a’ is given by a = -b x where x = displacement from equilibrium position and b is a constant. Find the period of

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A particle is S.H.N. is described by the displacement function: → `x=A Cos(wt+Φ);w=(2pi)/T` If the initial (t = 0) position of the particle is 1 cm and its initial velocity is π cm | s, What are its amplitude and phase

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Calculate the amount of heat necessary to raise the temperature of 2 moles of HEgas from `20^oC` to `50^oC` using:-1) Constant – Volume Process 2) Constant Pressure Process Here for, He; `CV = 1.5 R and CP =

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The transverse displacement of a string (clamped at its both ends) is given by `y(x, t) = 0.06 sin((2π)/3x) cos (120 πt)` where x and y are in m and t in s.The length of the string is 1.5 m and its mass is `3.0 ×10^(–2)` kg. Answer the following : (a) Does the function represent a travelling wave or a stationary wave? (b) Interpret the wave as a superposition of two waves travelling in opposite directions. What is the wavelength, frequency, and speed of each wave ? (c) Determine the tension in the

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A 3m long ladder weighing 20 kg leans on a frictionless wall. Its feet rest on the floor 1 m from the wall as shown in Fig.. Find the reaction forces of the wall and the floor.

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Find the components along the x, y, z axes of the angular momentum l of a particle, whose position vector is r with components x, y, z and momentum is p with components px, py and pz. Show that if the particle moves only in the x-y plane the angular momentum has only a

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A simple pendulum of time period 1s and length l is hung from a fixed support at O, such that the bob is at a distance H vertically above A on the ground (Fig. ). The amplitude is o θ . The string snaps at` θ = θ_ 0 /2`. Find the time taken by the bob to hit the ground. Also find distance from A where bob hits the ground. Assume θ 0 to be small so that ` sinθ_0 and cos θ_0 =1`

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The period of oscillation of a simple pendulum is `T= 2pisqrt(L'/'g)`. Measured value of L is 20 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be `90 s` using a wrist watch of Is resolution.What is the percentage error in the determination of g

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Assertion: The `v-t` graph perpendicular to time axis is not possible in practice.Reason: Infinite acceleration cannot be realised in

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Average Speed and Average Velocity-When an object is in motion, its position changes with time. So, the quantity that describes how fast is the position changing w.r.t. time and in what direction is given by average velocity.It is defined as the change in position or displacement `(Deltax)` divided by the time interval `(Delta t)` in which that displacement occur. However, the quantity used to describe the rate of motion over the actual path, is average speed. It defined as the total distance travelled by the object divided by the total time taken.A cyclist is moving on a circular track of

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Three blocks `A,B and C` of masses `4kg,2 kg and 1 kg` respectively, are in contact on a frictionless surface, as shown in the figure. If a force of `14N` applied on the 4 kg block, then the contact force between A and B is

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A 2 kg block slides on a horizontal floor with a speed of 4 m/s. It strikes a uncompressed spring and compresses it till the block is motionless. The kinetic friction force is 15 N and spring constant is 10000 N/m. The spring compresses

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Kinetic Energy The energy possessed by a body by virtue of its motion is called kinetic energy. In other words, the amount of work done, a moving object can do before coming to rest is equal to its kinetic energy.`.^..' '` Kinetic energy, `KE =1/2mv^2` where, `m` is a mass and `v` is the velocity of a body.The units and dimensions of KE are Joule (in SI) and `[ML^2T^(-2)]`, respectively. Kinetic energy of a body is always positive. It can never be negative.A force which is inversely proportional to the speed is acting on a body.

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A particle of mass `m` moves in the `xy`-plane with a velocity `v` along the straight line AB. If the angular momentum of the particle with respect to origin `O` is `L_A`, when it is at A and `L_B` when it is at B,

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Centre of Mass The centre of mass of a body or a system of bodies is the point which moves as though all of the mass were concentrated there and all external forces were applied to it. Hence, a point at which the entire mass of the body or system of bodies is supposed to be concentrated is known as the centre of mass. If a system consists of more than one particles (or bodies) and net external force on the system in a particular direction is zero with centre of mass at rest. Then, the centre of mass will

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Two sphere of masses `m and M` are situated in air and the gravitational force between them is `F` . The space around the masses is now filled with a liquid of specific gravity. The gravitational force will now

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Give two cases in which there is no Doppler effect in

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What is the relation between uniform circular motion and

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What is the minimum condition for a system to execute

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