Home
Class 11
PHYSICS
A light spring balance hangs from the ho...

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

(a) Both the scales read M kg each

B

(b) The scale of the lower one reads M kg and of the upper on zero

C

(c) The reading of the two scales can be anything but the sum of the reading will be M kg

D

(d) Both the scales read `M//2kg` each

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the system of two spring balances and the mass hanging from the lower balance. ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have two light spring balances. The first one (let's call it S1) is hanging from a hook, and the second one (S2) is hanging from S1. A block of mass \( M \) is hanging from S2. 2. **Forces Acting on the Mass**: - The only force acting on the mass \( M \) is its weight, which is given by \( W = M \cdot g \), where \( g \) is the acceleration due to gravity. 3. **Reading of the Lower Spring Balance (S2)**: - The reading on the lower spring balance (S2) will be equal to the weight of the mass hanging from it. Therefore, the reading \( S2 = M \cdot g \). 4. **Reading of the Upper Spring Balance (S1)**: - The upper spring balance (S1) supports both the weight of the mass \( M \) and the reading from the lower spring balance (S2). Thus, the reading on S1 will also be equal to the total weight it supports, which is \( S1 = S2 = M \cdot g \). 5. **Conclusion**: - Since both spring balances are massless, the readings on both balances will be equal. Therefore, we can conclude that \( S1 = S2 = M \cdot g \). ### Final Statement: Both spring balances read the same value, which corresponds to the weight of the mass hanging from the lower balance. Hence, the correct statement is that both scales read \( M \cdot g \).

To solve the problem, we need to analyze the system of two spring balances and the mass hanging from the lower balance. ### Step-by-Step Solution: 1. **Understanding the Setup**: - We have two light spring balances. The first one (let's call it S1) is hanging from a hook, and the second one (S2) is hanging from S1. A block of mass \( M \) is hanging from S2. 2. **Forces Acting on the Mass**: ...
Promotional Banner

Topper's Solved these Questions

  • HEAT AND THERMODYNAMICS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|219 Videos
  • MECHANICAL PROPERTIES OF MATTER AND FLUIDS

    SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise Subjective Problems|1 Videos

Similar Questions

Explore conceptually related problems

A block of mass 10 kg is suspended through two light spring balance as shown below:

An object of mass 5 kg is attached to the hook of a spring balance and the balance is suspended vertically from the roof of a lift. The reading on the spring balance when the lift is going up with an acceleration of 0.25 ms^(-2) is take, (take, g=10ms^(-2) )

A box, when hung from a spring balance shows a reading of 50 kg. If the same box is hung from the same spring balance inside an evacuated chamber, the reading on the scale will be

A student took a spring balance calibrated in gf. He then suspended an object of mass 1 kg to the spring balance. Determine what would be the reading of the spring balance.

A glass ball hanging from the hook of a sensitive spring balance is completely submerged in highly salty water and tap water, one. If the readings of spring balance when the ball is in highly salty water and tap water are x and y respectively, then:

A spring balance has a scale that reads from 0 to 50 kg. the length of the scale is 20 cm. a block of mass m is suspended from this balance, when displaced annd released, it oscillates with a period 0.5 s. the value of m is (Take g=10ms^(-2) )

SUNIL BATRA (41 YEARS IITJEE PHYSICS)-LAWS OF MOTION-JEE Main And Advanced
  1. A marble block of mass 2 kg lying on ice when given a velocity of 6m//...

    Text Solution

    |

  2. A block of mass M is pulled along a horizontal frictionless surface by...

    Text Solution

    |

  3. A light spring balance hangs from the hook of the other light spring b...

    Text Solution

    |

  4. A rocket with a lift-off mass 3.5xx10^4 kg is blasted upwards with an ...

    Text Solution

    |

  5. Two masses m1=5kg and m2=4.8kg tied to a string are hanging over a lig...

    Text Solution

    |

  6. A block rests on a rough inclined plane making an angle of 30^@ with t...

    Text Solution

    |

  7. A smooth block is released at rest on a 45^@ incline and then slides a...

    Text Solution

    |

  8. A parachutist after bailing out falls 50m without friction. When parac...

    Text Solution

    |

  9. A bullet fired into a fixed target loses half of its velocity after pe...

    Text Solution

    |

  10. An annular ring with inner and outer radii R1 and R2 is rolling wihtou...

    Text Solution

    |

  11. The upper half of an inclined plane with inclination phi is perfectly ...

    Text Solution

    |

  12. A particle of mass 0.3 kg subject to a force F=-kx with k=15N//m. What...

    Text Solution

    |

  13. A block is kept on a frictionless inclined surface with angle of incli...

    Text Solution

    |

  14. Consider a car moving on a straight road with a speed of 100m//s. The ...

    Text Solution

    |

  15. A mass of M kg is suspended by a weightless string. The horizontal for...

    Text Solution

    |

  16. A ball of mass 0.2 kg is thrown vertically upwards by applying a force...

    Text Solution

    |

  17. A player caught a cricket ball of mass 150g moving at a rate of 20m//s...

    Text Solution

    |

  18. A coin is placed on a horizontal platform which undergoes vertical sim...

    Text Solution

    |

  19. A block of mass m is connected to another block of mass M by a spring ...

    Text Solution

    |

  20. Two fixed frictionless inclined plane making angles 30^(@) and 60^(@) ...

    Text Solution

    |