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Mother, father and son line up at random...

Mother, father and son line up at random for a family picture
E: son on one end, F: father in middle

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Read the following paragraph carefully and answer the following: Tie a stone to one end of a string. Take the other end in your hand and rotate the string so that the stone moves along a circle. As long as we are holding the string, we are pulling the stone towards us i.e. towards the centre of the circle and are appliying a force towards it. The force stops acting on it if we release the string. In this case, the stone will fly off along a straight line which is the tangent to the circle at the position of the stone when the string is released, because that the directionn of its velocity at that instant of time. You may recall a similar activity in which a 5 rupee coin kept on a rotating circular disc flies off the disc along the tangent to the disc. Thus, a force acts on any object moving along a circle and it is directed towards the centre of the circle. This is called the Centripetal force. The impressed force on the same is in which direction?

Read the following paragraph carefully and answer the following: Tie a stone to one end of a string. Take the other end in your hand and rotate the string so that the stone moves along a circle. As long as we are holding the string, we are pulling the stone towards us i.e. towards the centre of the circle and are appliying a force towards it. The force stops acting on it if we release the string. In this case, the stone will fly off along a straight line which is the tangent to the circle at the position of the stone when the string is released, because that the directionn of its velocity at that instant of time. You may recall a similar activity in which a 5 rupee coin kept on a rotating circular disc flies off the disc along the tangent to the disc. Thus, a force acts on any object moving along a circle and it is directed towards the centre of the circle. This is called the Centripetal force. What happens if the string is released?

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Figure shows a metal rod PQ resting on the smooth rails AB and positioned between the poles of a permanent magnet. The rails, the rod and the magnetic field are in three mutually perpendicular directions. A galvonometer G connects the rails through a switch K. Length of rod = 15 cm, B = 0.50 T, resistance of the closed loop containing the rod = 9.0mOmega . Assume the field to be uniform. a. Suppose K is open and the rod is moved with a speed of 12cms^(-1) in the direction shown. Give the polarity and magnitude of the induced emf. b. Is there an excess charge built up at the ends of the rods when K is open? What if K is closed? c. With K open and the rod moving uniformly, there is no net force on the electrons in the rod PQ eventhough they do experience magnetic force due to the motion of the rod. Explain. d. What is the retarding force on the rod when K is closed? e. How much power is required (by an external agent) to keep the rod moving at the same speed (=12cms^(-1)) when K is closed? How much power is required when K is open? f. How much power is dissipated as heat in the closed circuit? What is the source of this power? g. What is the induced emf in the moving rod if the magnetic field is parallel to the rails instead of being perpendicular?

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One card is drawn at random from a well shuffled deck of 52 cards. In which of the following cases are the events E and F independent? i. E: 'the card drawn is a spade' F: 'the card drawn is an ace' ii. E: 'the card drawn is black' F: 'the card drawn is king' ii. E: 'the card drawn is a king or queen' F: 'the card drawn is a queen or jack'.

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NEW JOYTHI PUBLICATION-PROBABILITY-SOLUTIONS TO NCERT TEXT BOOK EXERCISE 13.1
  1. Given that E and F are events such that P(E)= 0.6, P(F) = 0.3 and P(En...

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  2. Compute P(A|B), if P(B) = 0.5 and P(AnnB) = 0.32

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  3. If P(A)= 0.8, P(B) = 0.5 and P(B|A) = 0.4, find i. P( A nnB) ii. P(A...

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  4. Evaluate P(A uu B) If 2 P(A) = P(B) = 5/13 and P(A//B) = 2/5.

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  5. If P(A)= (6)/(11) , P(B)= (5)/(11) and P(A uu B) =(7)/(11) find i....

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  6. Determine P(E/F) A coin is tossed three times, where i. E:head on ...

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  7. Determine P(E/F) Two coins are tossed once, where i. E: tail appe...

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  8. A die is thrown three times, A:4 appears on the third toss, B: 6 an...

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  9. Mother, father and son line up at random for a family picture E: son...

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  10. A black and red dice are rolled. a. Find the conditional probabilit...

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  11. A fair die is rolled. Consider events E= {1,3,5}, F= {2,3) and G- {2,3...

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  12. Assume that each born child is equally likely to be a boy or a girl. ...

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  13. An instructor has a question bank consisting of 300 easy True/False qu...

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  14. Given that the two numbers appearing on throwing two dice are differen...

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  15. Consider the experiment of throwing a die, if a multiple 3 comes up, t...

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  16. If P(A)= (1)/(2) , P(B)=0, then P(A|B) is

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  17. If A and B are events such that P(A|B)= P(B|A), then

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