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A particle executes SHM with an amplitude of 10 cm and frequency 2hz. At t = 0 the particle is at a point where potential energy and kinetic energy are same. Find the equation of displacement of particle.
03
Sep
A particle executes SHM with an amplitude of 10 cm and frequency 2hz. At t = 0 the particle is at a point where potential energy and kinetic energy are same. Find the equation of displacement of particle. A point particle of mass 0.1 kg is executing SHM with amplitude of 0.1 m . When [...]
You are given two resistors X and Y whose resistances are to be determined using an ammeter of resistance 0.5Ω and a voltmeter of reistance 20kΩ. It is known that x is in the range of a few ohms. While Y is in the range of several thousand ohms. In each case, while of the following two connections (fig.) would you choose for resistance measurement? Justify your answer
03
Sep
You are given two resistors X and Y whose resistances are to be determined using an ammeter of resistance 0.5Ω and a voltmeter of reistance 20kΩ. It is known that x is in the range of a few ohms. While Y is in the range of several thousand ohms. In each case, while of the [...]
A point particle of mass 0.1 kg is executing SHM with amplitude of 0.1 m . When the particle passes through the mean position, its K.E. is 8 X 10^-3 J. Obtain the equation of motion of this particle if the initial phase of oscillation is pie/4.
03
Sep
A point particle of mass 0.1 kg is executing SHM with amplitude of 0.1 m . When the particle passes through the mean position, its K.E. is 8 X 10^-3 J. Obtain the equation of motion of this particle if the initial phase of oscillation is pie/4. A point particle of mass 0.1 kg is [...]
A galvanometer reads 5⋅0V at full scale deflection and is graded according to its resistance per volt at full scale deflection as 5000ΩV−1. (i) How will you convert it into a voltmeter that reads 20V at full scale deflection? (ii) Will it still be graded 5000ΩV−1? (iii) Will you prefer this voltmeter to one that is graded 2000ΩV−1?
03
Sep
A galvanometer reads 5⋅0V at full scale deflection and is graded according to its resistance per volt at full scale deflection as 5000ΩV−1. (i) How will you convert it into a voltmeter that reads 20V at full scale deflection? (ii) Will it still be graded 5000ΩV−1? (iii) Will you prefer this voltmeter to one that [...]
A particle is executing SHM under the action of force whose maximum magnitude is 50 N. Find the magnitude of force acting on the particle at the time when its energy is half kinetic and half potential.
03
Sep
A particle is executing SHM under the action of force whose maximum magnitude is 50 N. Find the magnitude of force acting on the particle at the time when its energy is half kinetic and half potential. A particle of mass 0.50 kg executes a simple harmonic motion under a force F = -(50 N/m)x. [...]
In figure, (i) find the potential difference between the points A and B. (ii) Now we wish to measure this potential difference by using a voltmeter of resistance 2 kohm. Find the reading of the voltmeter and percentage error. (iii) solve part (ii) if the voltmeter were of resistance 20 kohm. What conclusion do you draw from the results you get in the above parts?
03
Sep
In figure, (i) find the potential difference between the points A and B. (ii) Now we wish to measure this potential difference by using a voltmeter of resistance 2 kohm. Find the reading of the voltmeter and percentage error. (iii) solve part (ii) if the voltmeter were of resistance 20 kohm. What conclusion do you [...]
A particle of mass 0.50 kg executes a simple harmonic motion under a force F = -(50 N/m)x. If it crosses the centre of oscillation with a speed of 10 m/s, find the amplitude of motion.
03
Sep
A particle of mass 0.50 kg executes a simple harmonic motion under a force F = -(50 N/m)x. If it crosses the centre of oscillation with a speed of 10 m/s, find the amplitude of motion. A particle of mass 0.50 kg executes a simple harmonic motion under a force F = -(50 N/m)x. If [...]
A 20 g particle is oscillating simple harmonically with a period of 2 second and maximum kinetic energy 2 J. The total mechanical energy of the particle is zero. Find (a) Amplitude of oscillation
03
Sep
A 20 g particle is oscillating simple harmonically with a period of 2 second and maximum kinetic energy 2 J. The total mechanical energy of the particle is zero. Find (a) Amplitude of oscillation A 20 g particle is oscillating simple harmonically with a period of 2 second and maximum kinetic energy 2 J. The [...]
The scale of galvanometer is divided into 150 equal divisions. The galvanometer has a current sensitivity of 10 divisions/mA and the voltage sentivity of 2 divisions/mV. How the galvanometer be designed to read (i) 6A per division and (ii) 1 V per division?
03
Sep
The scale of galvanometer is divided into 150 equal divisions. The galvanometer has a current sensitivity of 10 divisions/mA and the voltage sentivity of 2 divisions/mV. How the galvanometer be designed to read (i) 6A per division and (ii) 1 V per division? A galvanometer has a resistance of G ohm and range of V [...]
Two particles executing SHM with same angular frequency and amplitudes A and 2A on same straight line with same mean position cross each other in opposite direction at a distance A/3 from mean position. Find
03
Sep
Two particles executing SHM with same angular frequency and amplitudes A and 2A on same straight line with same mean position cross each other in opposite direction at a distance A/3 from mean position. Find A particle is executing SHM with time period T and amplitude A. The particle starts SHM from amplitude position. Find [...]