For a television network,  $5 \times 10^{5}$  channels are granted. If the central frequency of the microwave link is 25 GHz and the allotted bandwidth for each channel is 2KHz, then how much percentage of the link is used for the network?

A) 4%

B) 10%

C) 25%

D) 5%


 In the diode-based rectifier  circuit  given below, If $V_{s}-V_{m}\sin \omega t$ and the diode is ideal, then the average value of $V_{L}$ is 


A) $\frac{R_{L}}{(R_{L}+R_{S})}\frac{V_{m}}{\pi}$

B) $R_{L} V_{m} \sin \omega t$

C) $\frac{R_{L}}{(R_{L}+R_{S})}V_{m}$

D) $\frac{R_{L}}{(R_{L}+R_{S})}V_{m} \sin \omega t$


 A half-spherical glass lens with a refractive index 1.5 is placed in a liquid with a refractive index of 1.3 (see the following figure) . The radius of the half spherical lens is 10 cm. A parallel  beam of light travelling  in the liquid  is refracted by the glass  lens, Then the absolute  value of the position  of the  image from the centre of the glass lens will be 


A) 10 cm

B) 65 cm

C) 5 cm

D) 11.5 cm


 The position vector of a particle  moving in a plane is given by $r= a \cos \omega t \hat{i}+b \sin  \omega t \hat{j}$,  where $\hat{i}$  and $\hat{j}$  are the unit  vectors  along the rectangular axes X and Y ;a,b and $\omega$  are constants  and t is time . The acceleration  of the particle is directed along the vector 

A) $-a\hat{i}+b\hat{j}$

B) $b \hat{i}+a \hat{j}$

C) -r

D) $\frac{dr}{dt}$


Consider 'a' vehicle moving with a velocity 54 km/h. at a distance of 400m, from the traffic light brakes are applied. The acceleration of the vehicle, after the application of brakes, is $-0.3 m/s^{2}$. The vehicle's  position relative to the traffic light is 

A) 25 m

B) 375 m

C) 425 m

D) 30 m