In an experiment mileage of a car was measured to be `24 kmpl` (Kilometer per liter of fuel consumed). After the experiment it was found that `4 %` of the fuel used during the experiment was leaked through a small hole in the tank. Calculate the actual mileage of the car after the tank was repaired.
In an experiment mileage of a car was measured to be `24 kmpl` (Kilometer per liter of fuel consumed). After the experiment it was found that `4 %` of the fuel used during the experiment was leaked through a small hole in the tank. Calculate the actual mileage of the car after the tank was repaired.
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The correct Answer is:
25 kmpl
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For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. The part of the ship used for steering is called
For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. The part of the ship used for steering is called
A
rudder
B
bridge
C
underside
D
tank
For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. Men frequently went out to the African Queen because
For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. Men frequently went out to the African Queen because
A
it was a rare sight to see a sunken ship.
B
they attempted to float the ship once again.
C
they wanted to take parts of the ship and sell them.
D
it was an interesting exercise.
For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. How did the two men propose to float the ship again?
For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. How did the two men propose to float the ship again?
A
By sending divers to examine the darnage.
B
By closing the large hole in her side.
C
By joining a large number of steel sheets together.
D
By pumping air into the tanks.
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Amit travelled back to home in a car, after visiting his friend in a distant village. When started at his friend's house the car had exactly 18 litres of petrol in it. He travelled along at steady 40 kilometres per hour and managed 10 kilometres per litre of petrol. As the car was old, the fuel tank lost fuel at the rate of half a litre per hour. Amit was lucky as his car stopped just in from of his home because it had run out of fuel and he only just made it. How far was it from his friend's home to Amit's home? 150\ k m b. \ 170\ k m c. 180\ k m d. none of these
Water leaks out from an open tank through a hole of area 2mm^2 in the bottom. Suppose water is filled up to a height of 80 cm and the area of cross section of the tankis 0.4 m^2 . The pressure at the open surface and the hole are equal to the atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a. Find the initial speed of water coming out of the hole. b. Findteh speed of water coming out when half of water has leaked out. c. Find the volume of water leaked out during a time interval dt after the height remained is h. Thus find the decrease in height dh in term of h and dt. d. From the result of part c. find the time required for half of the water to leak out.
For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. What was the danger which the divers faced ?
For months the old tanker, African Queen , lay turned over on her side, stuck fast in the sands off the coast of Maryland. She had run aground so badly that her owners had decided to leave her to her fate. It was considered Impossible to refloat her and the ship began to rust and sink deeper and deeper into the sands. Men frequently came out in small boats and removed any parts that could be sold-until two men decided to attempt the impossible : to float the African Queen once more. Both men were engineers and had no experience of ships so that few people thought they could succeed. The men began by studying the exact state of the African Queen and came to the conclusion that she would float again if air was pumped into the tanks which were now full of sea water. A diver was sent down to examine the underside of the ship. In the cold, dark water he found an enormous hole in her side which had been torn when the ship ran aground. It was plain that nothing could be done until the hole was repaired. As no single sheet of steel would cover it, the men were obliged to order a great number of sheets which had to be joined together. For several weeks divers worked continually to close the hole. At times, the sea was so rough that it was difficult to go down, and on more than one occasion, they had to contend with sharks. At last the hole was covered and the men began to pump the sea-water out of the ship's tanks. It seemed as if they were bound to succeed, for when the tanks were full of air, the African Queen began to stir in the water. The men could not understand why she still would not float until they discovered that her rudder was embedded in mud. Huge cranes were brought to haul the sunken rudder out and the ship was again afloat. By this time, the men were almost exhausted. They had worked ceaselessly for three months to save the African Queen and had succeeded when everyone thought they would fail. Now they stood on the bridge of the ship, tired but proud, as tugs brought the African Queen into the harbour. The two men felt proud because
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