If the water falls from a dam into a turbine wheel 19.6 m below, then the velocity of water at the turbine is (g = 9.8 m/s2) 

(1) 9.8 m/s

(2) 19.6 m/s

(3) 39.2 m/s

(4) 98.0 m/s

Subtopic:  Gravitational Potential Energy |
 88%
From NCERT
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Two identical cylindrical vessels with their bases at the same level each contain a liquid of density; ρ. The height of the liquid in one vessel is h1 and that in the other vessel is h2 h1>h2.The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected is :

(1) (h1h2)gρ

(2) (h1h2)gAρ

(3) 12(h1h2)2gAρ

(4) 14(h1h2)2gAρ

Subtopic:  Gravitational Potential Energy |
From NCERT
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If the increase in the kinetic energy of a body is 21%, then the increase in the momentum will be:
1. 22%
2. 44%
3. 10%
4. 300%

Subtopic:  Conservation of Mechanical Energy |
 62%
From NCERT
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If a body of mass 200 g falls from a height 200 m and its total P.E. is converted into K.E. at the point of contact of the body with earth surface, then what is the decrease in P.E. of the body at the contact (g = 10 m/s2) 

(1) 200 J

(2) 400 J

(3) 600 J

(4) 900 J

Subtopic:  Gravitational Potential Energy |
 86%
From NCERT
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If momentum is increased by \(20\text{%}\) then kinetic energy increases by: 
1. \(44\text{%}\)
2. \(55\text{%}\)
3. \(66\text{%}\)
4. \(77\text{%}\)

Subtopic:  Conservation of Mechanical Energy |
 89%
From NCERT
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The kinetic energy of a body of mass 2 kg and momentum of 2 Ns is 

(1) 1 J

(2) 2 J

(3) 3 J

(4) 4 J

Subtopic:  Conservation of Mechanical Energy |
 87%
From NCERT
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The decrease in the potential energy of a ball of mass 20 kg which falls from a height of 50 cm is 

(1) 968 J

(2) 98 J

(3) 1980 J

(4) None of these

Subtopic:  Gravitational Potential Energy |
 86%
From NCERT
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A 0.5 kg ball is thrown up with an initial speed 14 m/s and reaches a maximum height of 8.0m. How much energy is dissipated by air drag acting on the ball during the ascent 

(1) 19.6 Joule

(2) 4.9 Joule

(3) 10 Joule

(4) 9.8 Joule

Subtopic:  Gravitational Potential Energy |
 66%
From NCERT
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An ice cream has a marked value of 700 kcal. How many kilowatt- hour of energy will it deliver to the body as it is digested 

(1) 0.81 kWh

(2) 0.90 kWh

(3) 1.11 kWh

(4) 0.71 kWh

Subtopic:  Power |
 55%
From NCERT
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A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by 1m/s so as to have same K.E. as that of the boy. The original speed of the man will be 

(1) 2m/s

(2) (21)m/s

(3) 1(21)m/s

(4) 12m/s 

Subtopic:  Concept of Work |
 56%
From NCERT
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