A particle of mass m strikes another particle of same mass of rest. Find the angle between the velocities of particle after the collision, if the collision is elastic.
1. 

 

Subtopic:  Collisions |
Level 4: Below 35%
Please attempt this question first.
Hints

A composite slab is prepared b pasting two plates of thicknesses L1 and L2 and thermal conductivities K1 and K2. The slabs have equal cross-sectional area. Find the equivalent conductivity of the slab.

1. \( {K}_{eq}{=}\frac{{L}_{1}{+}{L}_{2}}{\frac{{L}_{1}}{{K}_{1}}{+}\frac{{L}_{2}}{{K}_{2}}}\)
2. \( {K}_{eq}{=}\frac{{L}_{1}{+}{L}_{2}}{{K}_{1}{K}_{2}}\)
3. \( {K}_{eq}{=}\frac{{L}_{1}}{{K}_{1}{+}{K}_{2}}{+}\frac{{L}_{2}}{{K}_{1}{+}{K}_{2}}\)
4. \( {K}_{eq}{=}\frac{{L}_{1}{L}_{2}}{{L}_{1}{+}{L}_{2}}\)

Subtopic:  Conduction |
Level 3: 35%-60%
Please attempt this question first.
Hints

Photoelectric effect experiments are performed using three different metal plates \(p,q\) and \(r\) having work functions \(Q_{p}=2\)eV\(Q_{q}=2.5\)eV and \(Q_{r}=3.0\)eV, respectively. A light beam containing wavelength of \(550\) nm, \(450\) nm and \(350\) nm with equal intensities illuminates each of the plates. The correct \((I\text-V)\) graph for the experiments is: (Take \(\text{hc}=1240~\text{eV-nm}\))
 
1. 2.
3. 4.
Subtopic:  Photoelectric Effect: Experiment |
Level 4: Below 35%
Please attempt this question first.
Hints
Please attempt this question first.

Three long wires, each carrying current i are placed parallel to each other. The distance between I and II is 3d, between II and III is 4 d and between III and I is 5d. Magnetic field at side of wire II is 

1. 5μ0i24πd

2. 10μ0i24πd

3. 15μ0i24πd

4. 20μ0i24πd

Subtopic:  Biot-Savart Law |
Level 3: 35%-60%
Please attempt this question first.
Hints

In the following diagrams, a particle with small charge – q is free to move up or down, but not sideways near a larger fixed charge Q. The small charge is in equilibrium because in the positions shown, the electrical upward force is equal to the weight of the particle. Which statement is true? 

1. In figure a, -q is in stable equilibrium.

2. In figure a, -q is in neutral equilibrium.

3. In figure b, -q is in stable equilibrium.

4. Neither in fig(a) nor in fig(b) , q is in stable equilibrium.

Subtopic:  Coulomb's Law |
Level 3: 35%-60%
Please attempt this question first.
Hints