Subject

Physics

Class

JEE Class 12

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JEE Physics 2006 Exam Questions

Multiple Choice Questions

21.

A material ‘B’ has twice the specific resistance of ‘A’. A circular wire made of ‘B’ has twice the diameter of a wire made of ‘A’. Then for the two wires to have the same resistance, the ratio

  • 2

  • 1

  • 1/4

  • 1/2


A.

2

straight R subscript 1 space equals space fraction numerator straight rho subscript straight A calligraphic l subscript straight A over denominator πR subscript straight A superscript 2 end fraction
straight R subscript 2 space equals space fraction numerator straight rho subscript straight B calligraphic l subscript straight B over denominator πR subscript straight B superscript 2 end fraction
calligraphic l subscript straight A over calligraphic l subscript straight B space equals space fraction numerator straight rho subscript straight B straight R subscript straight A superscript 2 over denominator straight rho subscript straight A straight R subscript straight B superscript 2 end fraction space
equals space fraction numerator 2 straight rho subscript straight A space straight R subscript straight A superscript 2 over denominator straight rho subscript straight A 4 straight R subscript straight A superscript 2 end fraction
rightwards double arrow calligraphic l subscript straight A over calligraphic l subscript straight B space equals space 2 space space
144 Views

22.

In a series resonant LCR circuit, the voltage across R is 100 volts and R = 1 kΩ with C = 2µF. The resonant frequency ω is 200 rad/s. At resonance the voltage across L is

  • 4 × 10−3 V

  • 2.5 × 10−2 V

  • 40 V

  • 250 V


D.

250 V

straight i space equals space 100 over 1000 space equals space 0.1 space straight A
straight V subscript straight L space equals space straight V subscript straight C space equals space fraction numerator 0.1 over denominator 200 space straight x space 2 space straight x space 10 to the power of negative 6 end exponent end fraction space equals space 250 space straight V
560 Views

23.

In a Wheatstone’s bridge, there resistances P, Q and R connected in the three arms and the fourth arm is formed by two resistances S1 and S2 connected in parallel. The condition for bridge to be balanced will be

  • straight P over straight Q space equals space fraction numerator straight R space left parenthesis straight S subscript 1 plus straight S subscript 2 right parenthesis over denominator straight S subscript 1 straight S subscript 2 end fraction
  • straight P over straight Q space equals space fraction numerator straight R over denominator straight S subscript 1 plus straight S subscript 2 end fraction
  • straight P over straight Q space equals space fraction numerator 2 straight R over denominator straight S subscript 1 plus straight S subscript 2 end fraction
  • straight P over straight Q space equals space fraction numerator straight R left parenthesis straight S subscript 1 plus straight S subscript 2 right parenthesis over denominator 2 straight S subscript 1 straight S subscript 2 end fraction

A.

straight P over straight Q space equals space fraction numerator straight R space left parenthesis straight S subscript 1 plus straight S subscript 2 right parenthesis over denominator straight S subscript 1 straight S subscript 2 end fraction
144 Views

24.

Needles N1, N2 and N3 are made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will

  • attract all three of them

  • attract N1 and N2 strongly but repel N3

  • attract N1 strongly, N2 weakly and repel N3 weakly

  • attract N1 strongly, but repel N2 and N3 weakly


C.

attract N1 strongly, N2 weakly and repel N3 weakly

166 Views

25.

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T0, while Box B contains one mole of helium at temperature (7/3) T0. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature. (Ignore the heat capacity of boxes). Then, the final temperature of the gases, Tf, in terms of T0 is

  • straight T subscript straight f space equals space 5 over 2 straight T subscript 0
  • straight T subscript straight f space equals space 3 over 7 straight T subscript 0
  • straight T subscript straight f space equals space 7 over 3 straight T subscript 0
  • straight T subscript straight f space equals space 3 over 2 straight T subscript 0

D.

straight T subscript straight f space equals space 3 over 2 straight T subscript 0
increment straight U space equals space 0
rightwards double arrow 3 over 2 straight R left parenthesis straight T subscript straight f minus straight T subscript 0 right parenthesis space plus space 1 space straight x space 5 over 2 space straight R space left parenthesis straight T subscript straight f minus 7 over 3 straight T subscript 0 right parenthesis equals 0
straight T subscript straight f space equals space 3 over 2 straight T subscript 0
343 Views

26.

The current I drawn from the 5 volt source will be

  • 0.17 A

  • 0.33 A

  • 0.5 A

  • 0.67 A


C.

0.5 A

320 Views

27.

In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a

  • circle

  • helix

  • straight line

  • ellipse


C.

straight line

178 Views

28.

An electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experience

  • a torque only

  • a translational force only in the direction of the field

  • a translational force only in a direction normal to the direction of the field

  • a torque as well as a translational force


D.

a torque as well as a translational force

164 Views

29.

Two insulating plates are both uniformly charged in such a way that the potential difference between them is V2 −V1 = 20 V. (i.e. plate 2 is at a higher potential). The plates are separated by d = 0.1 m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2?


(e = 1.6 × 10−19 C, me = 9.11 × 10−31 kg)

  • 32 × 10−19 m/s

  • 2.65 × 106 m/s

  • 7.02 × 1012 m/s

  • 1.87 × 106 m/s


B.

2.65 × 106 m/s

1 half mv squared space equals space eV
straight v space equals space square root of fraction numerator 2 eV over denominator straight m end fraction end root space equals space 2.65 space straight x space 10 to the power of 6 space straight m divided by straight s
311 Views

30.

The Kirchhoff’s first law (∑ i= 0)   and second law (∑iR = ∑E), where the symbols have their usual meanings, are respectively based on

  • conservation of charge, conservation of energy

  • conservation of charge, conservation of momentum

  • conservation of energy, conservation of charge

  • conservation of momentum, conservation of charge


A.

conservation of charge, conservation of energy

Kirchhoff's  Ist law or KCl states that the algebraic sum of current meeting at any junction is equal to zero. Thus, no charge has been accumulated at any junction i.e., the charge is conserved, and hence KCl is based on conservation of charge.

155 Views

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