Wind blowing from South at 10 m/s but to a cyclist, it appears to be blowing from the East at 10 m/s. The cyclist has a velocity:

1.  $10\hat{\mathrm{i}}-10\hat{\mathrm{j}}$

2.  $10\hat{\mathrm{i}}+10\hat{\mathrm{j}}$

3.  $-10\hat{\mathrm{i}}+10\hat{\mathrm{j}}$

4.  $-10\hat{\mathrm{i}}-10\hat{\mathrm{j}}$

 

The internal resistance of primary cell is 4Ω. It generates a current of 0.2 A in an external resistance of 21Ω. The rate at which chemical energy is consumed is providing the current is

 

1.  0.42 J/s

There are four point charges +q, -q, +q and –q are places at the corners A, B, C and D respectively of a square of side a. The potential energy of the system is times . 

 

1.  

The potential difference across the 3Ω resistor shown in figure is 

 

1.  zero

There are N cells in the circuit of figure. The emf and internal resistance of each cell is E and rrespectively. The points A and B in the circuit divide the curit into n and (N-n) cells. The current in the circuit is

1.  E/r

The earth’s magnetic field at a certain place has ahorizontal component of 0.3 G and total strength 0.5 G. Find angle of dip in tan^-1.

 

1.  δ =tan^-1

The two spherical conductor A and B. of radii a and b(b>a) are placed concentrically in air. The two arc connected by a copper wire as shown in figure. The equivalent capacitance of the system is

 

1.  

The thermo emf of a thermocupule varies with the temperature θ of the hot junction as 
E= aθ +bθ² volt Where the ratio (a/b) is 700 °C. If the cold junction is kept at 0 °C, then the neutral temperature is

 

1.  700 °C