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A wire suspended vertically from one of its ends is stretched by attaching a weight of $200\ N$ to the lower end. The weight stretches the wire by $1\ mm$. Then the elastic energy stored in the wire ......... $J$
One end of a slack wire (Young's modulus $Y$, length $L$ and cross-sectional area $A$ ) is clamped to a rigid wall and the other end to a block (mass $m$ ), which rests on a smooth horizontal plane. The block is set in motion with a speed $v$. What is the maximum distance, then the block will travel after the wire becomes taut?
The bulk moduli of ethanol, mercury and water are given as $0.9, 25$ and $2 .2$ respectively in units of $10^9\, Nm^{-2}$ . For a given value of pressure, the fractional compression in volume is $\frac{{\Delta V}}{V}$. Which of the following statements about $\frac{{\Delta V}}{V}$ for these three liquids is correct ?
A sphere contracts in volume by $0.01 \%$ when taken to the bottom of sea $1 \,km$ deep. Find Bulk modulus of the material of sphere ........... $N / m ^2$
A rod of length $l$ and radius $r$ is joined to a rod of length $l/2$ and radius $r/2$ of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of $\theta°$, the twist angle at the joint will be
When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be ........ $cm$
A suspended long metal wire is stretched a small distance $x$ by a load $W$ in newton suspended at the other end. Select the best answer out of the following