Physics-
General
Easy

Question

In the circuit shown in the diagram, E is the e.m.f of the cell, connected to two resistances, each of magnitude R and a capacitor of capacitance C as shown in the diagram. If the switch key K is closed at time t = 0, the growth of potential V across the capacitor will be correctly given by

  1. V left parenthesis t right parenthesis equals E open square brackets 1 minus e x p invisible function application open parentheses negative fraction numerator t over denominator R C end fraction close parentheses close square brackets    
  2. V left parenthesis t right parenthesis equals fraction numerator E over denominator 2 end fraction open square brackets 1 minus e x p invisible function application open parentheses negative fraction numerator 2 t over denominator R C end fraction close parentheses close square brackets    
  3. V left parenthesis t right parenthesis equals E open square brackets 1 minus e x p invisible function application open parentheses negative fraction numerator 2 t over denominator R C end fraction close parentheses close square brackets    
  4. V left parenthesis t right parenthesis equals fraction numerator E over denominator 2 end fraction open square brackets 1 minus e x p invisible function application open parentheses negative fraction numerator t over denominator R C end fraction close parentheses close square brackets    

The correct answer is: V left parenthesis t right parenthesis equals fraction numerator E over denominator 2 end fraction open square brackets 1 minus e x p invisible function application open parentheses negative fraction numerator 2 t over denominator R C end fraction close parentheses close square brackets

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A source is moving across a circle given by the equation x to the power of 2 end exponent plus y to the power of 2 end exponent equals R to the power of 2 end exponent in with constant speed v subscript s end subscript equals fraction numerator 330 pi over denominator 6 square root of 3 end fraction m divided by s clockwise sense A detector is stationary at the point ( 2R, 0 ) w.r.t. the centre of the circle. The frequency emitted by the source is f subscript s end subscript times open parentheses text  velocity of sound  end text 330 m s to the power of negative 1 end exponent close parentheses The coordinates of the source when the detector detects mimimum frequency is

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Physics-General
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Physics-General
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Physics-

A traveling wave on stretched string can be understood by the function y = f(x -vt). Here v is the wave speed ‘x’ is co-ordinate of point and ‘y’ is its instantaneous displacement. To describe the wave completely, we must specify the function f. If the wave moves in negative x-direction y (x, t) = f(x + vt) and if it moves in positive x-direction y (x, t) = f(x - vt). The general relation for a traveling wave must satisfy the relation fraction numerator d to the power of 2 end exponent f over denominator d x to the power of 2 end exponent end fraction equals fraction numerator 1 over denominator v to the power of 2 end exponent end fraction times fraction numerator d to the power of 2 end exponent y over denominator d t to the power of 2 end exponent end fraction, if plane wave exists. The particle velocity and wave velocity are related by Vpa = - (slope) (wave velocity ). Answer the following questionsConsider the snapshot of a wave traveling in positive x-direction

A traveling wave on stretched string can be understood by the function y = f(x -vt). Here v is the wave speed ‘x’ is co-ordinate of point and ‘y’ is its instantaneous displacement. To describe the wave completely, we must specify the function f. If the wave moves in negative x-direction y (x, t) = f(x + vt) and if it moves in positive x-direction y (x, t) = f(x - vt). The general relation for a traveling wave must satisfy the relation fraction numerator d to the power of 2 end exponent f over denominator d x to the power of 2 end exponent end fraction equals fraction numerator 1 over denominator v to the power of 2 end exponent end fraction times fraction numerator d to the power of 2 end exponent y over denominator d t to the power of 2 end exponent end fraction, if plane wave exists. The particle velocity and wave velocity are related by Vpa = - (slope) (wave velocity ). Answer the following questionsConsider the snapshot of a wave traveling in positive x-direction

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