Holy Cross College Physics Olympiad 2016

2016 HOLY CROSS COLLEGE

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13th Inter College Science Festival-2015, Holy Cross College.

Physics Olympiad

1) A satellite moves around the Earth in a circular orbit of radius R

a) what is the speed (V0 ) of the satellite ? Suddenly an explosion breaks the satellite into two pieces, with masses M & 4M . Immediately after the explosion the small piece of mass M is stationary with respect to the earth and falls directly towards the Earth b) what is the speed

(Vi )

of the large piece immediately after the explosions ?

c) Because of the increase in it's speed , this large piece now moves in a new elliptical orbit. Find it's distance away from the center of the earth when it reaches the other end of the ellipse 2) When the system is in equilibrium from the following figure find the mass of m 2 , m3

m1 ,

3) What is the total mass of the Earth's atmosphere ? [Here radius of the Earth is R  6.37  106 m and the atmospheric pressure at the Earth's surface is 1.01  105 Pa (This is an estimation only . you can ignore the mountains and treat the Earth as a

13th Inter College Science Festival-2015, Holy Cross College.

Physics Olympiad

sphere. The atmosphere is not very thick compared to the radius of the Earth, so you may assume that the acceleration due to gravity is approximately constant and

this value is 9.8ms 2 throughout the height of the atmosphere )

4) From the above figure each of the three infinitely long straight and parallel wire is carrying current I . P is situated at the midpoint between the top and middle wire . What is the total magnetic field at point P. 5) A movable bar [at x=0, t=0] is being move at a constant speed from left to right along two conducting rails as shown in the following figure . The conducting rails makes an angel 45 degree with each other and together with the moving bar makes an triangle . If the system is immersed in a magnetic field directed out of the paper with magnitude 0.5 T what is the magnitude of induced EMF in the right angle at time t=2 second

13th Inter College Science Festival-2015, Holy Cross College.

Physics Olympiad

6) The electric field component of an electromagnetic wave traveling in vacuum is given by E  E0 sin( kx  t ) . Here k  107 m 1 . E0  300Vm 1 . Calculate the frequency of oscillation. 7) The magnitude of the four displacement vectors shown in the following diagram A= 17 m , B=11m , C= 12 m , D= 23m. Determine the magnitude and direction for the resultant that occurs when these vectors are added together.

8) From the following diagram determine the equivalent resistance R between point A and B .

13th Inter College Science Festival-2015, Holy Cross College.

Physics Olympiad

9) If the surface frictional force is 150 N and object is moving with uniform velocity along the slanted side . Calculate work done by the person to take the object at the top.

10) The following diagram shows a standing wave pattern . What is the wave length of the wave

13th Inter College Science Festival-2015, Holy Cross College.

Physics Olympiad