D. B. Singh
ISBN #9789313195481
1st Edition
4,709 Questions
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A car-wheel is rotated to uniform angular acceleration about its axis., Initially its angular velocity is zero. It rotates through an angle $\theta_{1}$ in the first $2 \mathrm{~s}$, in the next $2 \mathrm{~s}$, it rotates through an additional angle $\theta_{2}$, the ratio of $\frac{\theta_{2}}{\theta_{1}}$ is (a) 1 (b) 2 (c) 3 (d) 5
A sphere of mass $0.2 \mathrm{~kg}$ is attached to an inextensible string of length $0.5 \mathrm{~m}$ whose upper end is fixed to the ceilling. The sphere is made to describe a horizontal circle of radius $0.3 \mathrm{~m}$. The speed of the sphere will be (a) $1.5 \mathrm{~ms}^{-1}$ (b) $2.5 \mathrm{~ms}^{-1}$ (c) $3.2 \mathrm{~ms}^{-1}$ (d) $4.7 \mathrm{~ms}^{-1}$
Two wires $A C$ and $B C$ are tied at $C$ of small sphere of mass $5 \mathrm{~kg}$, which revolves at a constant speed $v$ in the horizontal circle of radius $1.6 \mathrm{~m}$. The minimum value of $v$ is (a) $3.01 \mathrm{~ms}^{-1}$ (b) $4.01 \mathrm{~ms}^{-1}$ (c) $8.2 \mathrm{~ms}^{-1}$ (d) $3.96 \mathrm{~ms}^{-1}$
A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of $0.5 \mathrm{~m} / \mathrm{s}$. What is height of the plane of circle from vertex of the funnel? (a) $0.25 \mathrm{~m}$ (b) $2 \mathrm{~cm}$ (c) $4 \mathrm{~cm}$ (d) $2.5 \mathrm{~cm}$
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is $v_{0}$ then the ratio of tensions in the three sections of the string is (a) $3: 5: 7$ (b) $3: 4: 5$ (c) $7: 11: 6$ (d) $3: 5: 6$