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A uniform rope of mass m hangs from a ce...

A uniform rope of mass m hangs from a ceiling ad a block of mass m is attached to the free end of rope.
Statement-1: The speed of a transverse wave in rope is different at different points.
Statement-2: The tension in the rope is different at diferent points.

A

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

statement-1 is true, statement-2 is false

D

statement-1 is false, statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
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A uniform rope of elngth l and mass m hangs vertically from a rigid support. A block of mass m is attached to the free end of the rope. A transverse pulse of wavelength lambda is produced at the lower end of the rope. The wavelength of the pulse, when it reaches the top of the rope. is alambda . Find a^(2)

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Knowledge Check

  • A uniform rope of length L and mass m_1 hangs vertically from a rigid support . A block of mass m_2 is attached to the free end of the rope . A transverse pulse of wavelength lambda_1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is lambda_2 . The ratio lambda_2//lambda_1 is

    A
    `sqrt((m_1+m_(2))/(m_1))`
    B
    `sqrt((m_1)/(m_2))`
    C
    `sqrt((m_1 +m_2)/(m_2))`
    D
    `sqrt((m_2)/(m_1))`

  • A uniform rope of legnth L and mass m_1 hangs vertically from a rigid support. A block of mass m_2 is attached to the free end of the rope. A transverse pulse of wavelength lamda_1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is lamda_2 . The ratio (lamda_2)/(lamda_1) is

    A
    `sqrt((m_1)/(m_2))`
    B
    `sqrt((m_1+m_2)/(m_2))`
    C
    `sqrt((m_2)/(m_1))`
    D
    `sqrt((m_1+m_2)/(m_1))`

  • A uniform rope of length L and mass m_1 hangs vertically from a rigid support. A block of mass m_2 is attached to the free end of the rope. A transverse pulse of wavelength lambda_1 is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is lambda_2 . The ratio lambda_2//lambda_1 is

    A
    `sqrt((m_1)/(m_2))`
    B
    `sqrt((m_1 + m_2)/(m_2))`
    C
    `sqrt((m_2)/(m_1))`
    D
    `sqrt((m_1 + m_2)/(m_1))`

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