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
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 energy, conservation of charge
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, N2 weakly and repel N3 weakly
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
1/4
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
straight line
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 translational force only in a direction normal to the direction of the field
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
The current I drawn from the 5 volt source will be
0.17 A
0.33 A
0.5 A
0.5 A
C.
0.5 A
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
40 V
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
7.02 × 1012 m/s