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If the body starts from rest from the top of the rough inclined plane of length 1, time taken to reach the bottom of the plane is

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A particle starts from rest from the top of an inclined plane and again comes to rest on reaching the bottom most point of the inclined plane. If the coefficient of friction on some part of inclined plane is 3tantheta and rest portion is smooth then the ratio of the rough length of the inclined to smooth length is 1 : n_(1) then value of n is .....?

A block is released from the top of the smooth inclined plane of height h . Find the speed of the block as it reaches the bottom of the plane.

Knowledge Check

  • An object of mass m is released from rest from the top of a smooth inclined plane of height h. Its speed at the bottom of the plane is proportional to

    A
    `m^0`
    B
    `m`
    C
    `m^2`
    D
    `m^(-1)`

  • A block released from rest from the top of a smooth inclined plane of inclination 45^(@) takes time 't' to reach the bottom . The same block released from rest , from top of a rough inclined plane of same inclination , takes time '2t' to reach the bottom , coefficient of friction is :

    A
    `0.75`
    B
    `0.5`
    C
    `0.25`
    D
    `0.4`

  • A block released from rest from the top of a smooth inclined plane of angle theta_(1) reaches the bottom in t_(1) . The same block relased from rest from the top of another smooth inclined plane of angle theta_(2) , reaches the bottom in time t_(2) . If the two inclined planes have the same height, the relation between t_(1) and t_(2) is

    A
    ` t_(2)/ t_(1) = (sin theta_(1))/(sin theta_(2))^(1/2)`
    B
    `t_(2)/t_(1) = 1 `
    C
    `t_(2)/t_(1) = (sin theta_(1))/(sin theta_(2))`
    D
    `t_(2)/t_(1)= (sin^(2) theta_(1))/(sin^(2)theta_(2))`

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