Two short magnets of equal dipole moments M are fastened perpendicularly at their centres as given in the figure. The magnitude of the magnetic filed at a distance d from the centre on the bisector of the right angle is 

1. μ04πmd3

2. μ04π2Md3

3. μ04π22Md3

4.  μ04π2Md3

Subtopic:  Magnetic Field & Field Lines |
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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 |
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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 |
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A stone is moved in a horizontal circle of radius 4 m by means of a string at a height of 20 m above the ground. The string breaks and the particle files off horizontally, striking the ground 10 m away. The centripetal acceleration during circular motion is

 


A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity . The force exerted by the liquid at the other end is

 


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 |
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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 |
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