Home
Class 11
PHYSICS
The coefficient of friction between a he...

The coefficient of friction between a hemispherical bowl and an insect is `sqrt(0.44)` and the radius of the bowl is 0.6m. The maximum height to which an insect can crawl in the bowl will be

A

0.4m

B

0.2m

C

0.3m

D

0.1m

Text Solution

Verified by Experts

The correct Answer is:
D
`h=r(1-cos theta)=r[-(1)/(sqrt(mu_(s)^(2)+1))]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)(MOTION OF BODY ON THE INCLINED PLANE)|8 Videos

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)(PULLING/PUSHING A BODY)|3 Videos

  • LAW OF MOTION

    NARAYNA|Exercise EXERCISE - II (C.W)(EQUILIBRIUM OF A PARTICLE)|3 Videos

  • KINETIC THEORY OF GASES

    NARAYNA|Exercise LEVEL-III(C.W)|52 Videos

  • MATHEMATICAL REVIEW & PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|13 Videos

Similar Questions

Explore conceptually related problems

If the coefficient of friction between an insect and bowl is mu and the radius of the bowl is r, find the maximum height to which the insect can crawl in the bowl.

If the coefficient of friction between an insect and bowl is mu and radius of the bowl is r, find the maximum height to which the insect can crawl up in the bowl.

Knowledge Check

  • The coefficient of friction between an insect and a hemispherical bowl of radius r is mu . The maximum height to which the insect can crawl in the bowl is

    A
    `( r )/( sqrt( 1+ mu^(2)))`
    B
    `r[1-(1)/( sqrt( 1+ mu^(2)))]`
    C
    `r sqrt( 1+ mu^(2))`
    D
    `r[ sqrt( 1+ mu^(2))-1]`

  • The coefficient of friction between two surface is 0.2. The maximum angle of friction is

    A
    `sin^(-1)(0.2)`
    B
    `cos^(-1)(0.2)`
    C
    `tan^(-1)(0.1)`
    D
    `cot^(-1)(5)`

  • A particle is placed at rest inside a hollow hemisphere of radius R. The coefficient of friction between the particle and the hemisphere is mu=(1)/(sqrt(3)) . The maximum height up to which the particle can remain stationary is

    A
    `(R )/(2)`
    B
    `(1-(sqrt3)/(2))R`
    C
    `(sqrt3)/(2)R`
    D
    `(3R)/(8)`

    • Similar Questions

    Explore conceptually related problems

    A hemispherical bowl is made of steel 0.5cm thick.The inside radius of the bowl is 4cm. find volume of steel

    a hemispherical bowl is made of steel 0.5 cm thick. The inside radius of the bowl is 4 cm. Find the volume of steel used in making the bowl.

    A hemispherical bowl is made of steel, 0.5 cm thick. The inside radius of the bowl is 4 cm. Find the volume of steel used in making the bowl.

    A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

    An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle alpha with the vertical, the maximum possible value of alpha is given by

    Home
    Profile