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A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is
- a)both the scales read M kg each.
- b)the scale of the lower one reads M kg and of the upper one zero.
- c)the reading of the two scales can be anything but the sum of the readings will be M kg.
- d)both the scales read M/2kg.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A light spring balance hangs from the hook of the other light spring b...
Explanation:
When a block of mass M kg hangs from the spring balance, it exerts a force equal to its weight on the spring balance.
Let's assume the spring constant of each spring balance to be k1 and k2 respectively.
The force exerted by the block on the upper spring balance is equal to Mg, where g is the acceleration due to gravity.
Similarly, the force exerted by the upper spring balance on the lower spring balance is also Mg.
Therefore, the lower spring balance also reads Mg.
Now, let's assume the extension in the spring of the upper balance to be x1 and that of the lower balance to be x2.
From Hooke's law, we know that the force exerted by a spring is directly proportional to its extension.
Therefore, the force exerted by the upper spring balance on the block is k1x1, and the force exerted by the lower spring balance on the upper spring balance is k2(x1 + x2).
Since the block is in equilibrium, the net force acting on it is zero.
Therefore, we can write:
k1x1 = Mg - k2(x1 + x2)
Solving this equation, we get:
x1 = Mg/(k1 + k2)
x2 = k1M/(k1 + k2)
The reading of the upper spring balance is given by:
Mg/k1 = k2x1/k1 = k2M/(k1 + k2)
The reading of the lower spring balance is given by:
Mg/k2 = k1x2/k2 = k1M/(k1 + k2)
Adding these two readings, we get:
Mg/k1 + Mg/k2 = M(k1 + k2)/(k1 + k2) = M
Therefore, both the scales read M/2 kg each.
When a block of mass M kg hangs from the spring balance, it exerts a force equal to its weight on the spring balance.
Let's assume the spring constant of each spring balance to be k1 and k2 respectively.
The force exerted by the block on the upper spring balance is equal to Mg, where g is the acceleration due to gravity.
Similarly, the force exerted by the upper spring balance on the lower spring balance is also Mg.
Therefore, the lower spring balance also reads Mg.
Now, let's assume the extension in the spring of the upper balance to be x1 and that of the lower balance to be x2.
From Hooke's law, we know that the force exerted by a spring is directly proportional to its extension.
Therefore, the force exerted by the upper spring balance on the block is k1x1, and the force exerted by the lower spring balance on the upper spring balance is k2(x1 + x2).
Since the block is in equilibrium, the net force acting on it is zero.
Therefore, we can write:
k1x1 = Mg - k2(x1 + x2)
Solving this equation, we get:
x1 = Mg/(k1 + k2)
x2 = k1M/(k1 + k2)
The reading of the upper spring balance is given by:
Mg/k1 = k2x1/k1 = k2M/(k1 + k2)
The reading of the lower spring balance is given by:
Mg/k2 = k1x2/k2 = k1M/(k1 + k2)
Adding these two readings, we get:
Mg/k1 + Mg/k2 = M(k1 + k2)/(k1 + k2) = M
Therefore, both the scales read M/2 kg each.
Community Answer
A light spring balance hangs from the hook of the other light spring b...
I think option A is correct.
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A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer?
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A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer?.
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer?.
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A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading isa)both the scales read M kg each.b)the scale of the lower one reads M kg and of the upper one zero.c)the reading of the two scales can be anything but the sum of the readings will be M kg.d)both the scales read M/2kg.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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