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Laws of Motion question

2003 · Shift 0 · Q178
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Laws of Motion question

2003 · Shift 0 · Q178

JEE MainPhysicsLaws of MotionMCQ+4 / −1
A light spring balance hangs from the hook of the other light spring balance and a block of mass MkgMkgMkg hangs from the former one. Then the true statement about the scale reading is
  1. A
    Both the scales read MkgMkgMkg each
  2. B
    The scale of the lower one reads MkgMkgMkg and of the upper one zero
  3. C
    The reading of the two scales can be anything but the sum of the reading will be MkgMkgMkg
  4. D
    Both the scales read M/2kgM/2kgM/2kg each
View written solutionFree

Correct answer: A

  1. Understand what a spring balance reads

A spring balance measures the tension in it.

  1. For the lower spring balance

A block of mass MMM hangs from the lower balance. In equilibrium, the tension in the lower balance must balance the weight of the block.

T=MgT = MgT=Mg

Since spring balances are calibrated in kg-wt (or equivalently show mass corresponding to weight), its reading is:

M kgM\text{ kg}M kg

  1. For the upper spring balance

The upper balance supports the entire load below it, which is the lower balance plus the block. Since the balances are said to be light, their own weights are negligible.

So the upper balance also carries the same tension:

T=MgT = MgT=Mg

Hence its reading is also:

M kgM\text{ kg}M kg

  1. Key idea

In a series arrangement of light balances, the same tension is transmitted throughout when the system is in equilibrium.

Thus:

  • lower balance reads M kgM\text{ kg}M kg
  • upper balance also reads M kgM\text{ kg}M kg
  1. Check options
  • A: Both the scales read M kgM\text{ kg}M kg each ✅
  • B: Lower reads M kgM\text{ kg}M kg and upper zero ❌
  • C: Sum of readings =M kg= M\text{ kg}=M kg ❌
  • D: Both read M/2 kgM/2\text{ kg}M/2 kg ❌

Therefore, the correct option is A.

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