The benches of a gallery in a cricket stadium are 1 m wide and 1 m high. A batsman strikes the ball at a level one metre above the ground and hits a mammoth sixer. The ball starts at 35 m/s at an angle of 53° with the horizontal. The benches are perpendicular to the plane of motion and the first bench is 110 m from the batsman. On which bench will the ball hit ?
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In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?
Let C denote the set of people who like cricket, and T denote the set of people who like tennis ∴ n(C ∪ T) = 65, n(C) = 40, n(C ∩...
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A batsman hits a cricket ball which then rolls on a level ground. After covering a short distance
(c) A batsman hits a cricket ball, which then rolls on a level ground. After covering a short distance, the ball comes to rest because there is frictional force on...
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(ii) A large proportion of children in a population is a result of (a) High birth rates (b) High death rates (c) High life expectancies
(a) High birth rates
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A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.
Here, a = 10 cm, l = 12.5 cm, b = 10 cm, h = 8 cm (i) Lateral surface area of the cubical box = 4a2 = 4 × (10)2 cm2...
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A ball is dropped from a height of 10m. If the energy of the ball reduces by 40percent after striking ground, how high ball bounce
Solution: H1 =10 m, v1 =? Loss of energy =40% H2 =? On striking the floor, K.E = P.E ½ mv12 = mg H1 V1 = ?(2gH1)= ?( 2x9.8x10) V1= ?196= 14 m/s As the body loses 40% of its energy, final...
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In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis
Let C denote the set of people who like cricket, and T denote the set of people who like tennis ∴ n(C ∪ T) = 65, n(C) = 40, n(C ∩...
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Which of the following systems may be adequately described by classical physics ? (a) motion of a cricket ball
(a) motion of a cricket ball (b) motion of a dust particle Explanation: Classical physics adequately describes the motion of a ball and the motion of dust particles. It also describes Newton’s law of motion,...
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Swapnil, Aakash and Vinay begin to jog around a circular stadium. They complete one lap in 36 seconds, 48 seconds and 42 seconds
(c) They will be together at the starting point after the L.C.M of 36, 48 and 42 L.C.M. of 36, 48, 42 = 1008 seconds
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A ‘professional’ cricket player is one who makes a living by playing cricket. Find the opposite of ‘professional’ in the last paragraph.
The opposite of ‘professional’ is ‘amateur’.
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A class room is 7m long, 6.5m wide and 4m high. It has one door 3m × 1.4m
l = 7m, n = 6.5m and h = 4m ∴ Area of the room = 2( l + b)h = 2(7 + 6.5) 4 = 108m2 Area of door = 3 ×...
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