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 Multiple Choice QuestionsMultiple Choice Questions

51.

The current (I) in the inductance is varying with time according to the plot shown in a figure.

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52.

A coil of self -inductance L is connected in series with a bulb b and an AC source. Brightness of the bulb decreases when

  • frequency of the AC source is decreases

  • number of turns in the coil is reduced

  • a capacitance of reactance Xc=XL is  included in the same circuit

  • a capacitance of reactance Xc=XL is  included in the same circuit

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53.

A current loop in a magnetic field

  • experiences a torque whether the field is uniform or non-uniform in all orientations

  • can be in equilibrium in one orientations

  • can be an equilibrium in two orientations, both the equilibrium states are unstable

  • can be an equilibrium in two orientations, both the equilibrium states are unstable

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54.

The rate of increase of thermo - emf with temperature at the neutral temperature of a thermocouple

  • is zero

  • depends upon the choice of the two materials of the thermocouple

  • is negtive

  • is negtive

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55.

The current i in a coil varies with time as shown in the figure. The variation of induced emf with time would be


C.

We know

straight e space equals space minus space straight L di over dt
During space 0 space to space straight T over 4 comma space di over dt space equals space constant
So comma
straight e space equals negative ve

For space straight T over 4 space to space straight T over 2 comma space di over dt space equals space 0

For space straight T over 2 space to space fraction numerator 3 straight T over denominator 4 end fraction comma space di over dt equals 0
straight e equals 0
For space straight T over 2 space to space fraction numerator 3 straight T over denominator 4 end fraction comma space di over dt space equals space constant
straight e equals plus ve

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56.

If potential (in volts) in a region is expressed as V (x, y, z) = 6 xy-y +2 yz, the electric field (in N/C) at point (1,1,0) is 

  • negative left parenthesis 3 bold i with bold hat on top space plus space 5 bold j with bold hat on top space plus 3 bold k with bold hat on top right parenthesis
  • negative left parenthesis 6 bold i with bold hat on top space plus space 5 bold j with bold hat on top space plus 2 bold k with bold hat on top right parenthesis
  • negative left parenthesis 2 bold i with bold hat on top space plus space 3 bold j with bold hat on top space plus bold k with bold hat on top right parenthesis
  • negative left parenthesis 2 bold i with bold hat on top space plus space 3 bold j with bold hat on top space plus bold k with bold hat on top right parenthesis
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57.

A conducting circular loop is placed in a uniform magnetic field, B = 0.0025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mms-1. The induced emf when the radius is 2 cm, is

  • 2 πμ V

  • πμ V

  • πμ V/2

  • πμ V/2

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58.

Which of the following statement is false or the properties of electromagnetic waves?

  • Both electric and magnetic field vectors attain the maxima and minima at the same place and same time

  • The energy in electromagnetic waves is divided equally between electric and magnetic  vectors

  • Both electric and magnetic field vectors are parallel to each other and perpendicular to the direction of propagation of wave

  • Both electric and magnetic field vectors are parallel to each other and perpendicular to the direction of propagation of wave

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59.

A condenser of capacity C is charged to a potential difference of V1. The plates to the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V2 is

  • open parentheses fraction numerator straight C left parenthesis straight V subscript 1 minus straight V subscript 2 right parenthesis squared over denominator straight L end fraction close parentheses to the power of 1 divided by 2 end exponent
  • fraction numerator straight C left parenthesis straight V subscript 1 superscript 2 minus straight V subscript 2 superscript 2 right parenthesis over denominator straight L end fraction
  • fraction numerator straight C space left parenthesis straight V subscript 1 superscript 2 space plus straight V subscript 2 superscript 2 right parenthesis over denominator straight L end fraction
  • fraction numerator straight C space left parenthesis straight V subscript 1 superscript 2 space plus straight V subscript 2 superscript 2 right parenthesis over denominator straight L end fraction
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60.

The thermal emf E in volt of a certain thermocouple is found to vary with temperature difference θ in oC between the two junctions according to the relation
straight E space equals space 30 space straight theta space minus straight theta squared over 15
The neutral temperature for the thermocouple will be

  • 450o C

  • 400o C

  • 225o C

  • 225o C

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