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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NTA Abhyas 2020 · Physics · Center of Mass, Momentum and Collision

A box is put on a scale which is adjusted to read zero , when the...

A box is put on a scale which is adjusted to read zero , when the box is empty. A stream of pebbles is then poured into the base from a height hh above its bottom at a rate of nn pebbles/s. Each pebble has a mass mm. If the pebbles collide with the box such that they immediately come to rest after collision, then the scale reading at time tt after the pebbles begin to fill the box is [ neglect piling up of pebbles]&

Options

  1. Amntmnt
  2. Bmn[2gh+gt]mn \left[\sqrt{2gh} +gt\right]
  3. Cmngtmngt
  4. Dzero

Correct answer

B. mn[2gh+gt]mn \left[\sqrt{2gh} +gt\right]

Step-by-step solution

Scale reading will be the sum of weight and force due to their impulse

Scale reading =& v∆m∆t+(mnt)gv\dfrac{∆ m}{∆ t} + \left(mnt\right)g

=\sqrt{2gh} mn + mngt<br/><br/><br /><br />= mn \left(\sqrt{2gh} +gt\right)
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