List of top Physics Questions on mechanical properties of solids asked in MHT CET

The work done in increasing the radius of a soap bubble from \(R\) to \(2R\) is \(W\). The work done in further increasing its radius from \(2R\) to \(3R\) will be:

Two uniform brass rods A and B of length 'l' and '2l' and their radii '2r' and 'r' respectively are heated to same temperature. The ratio of the increase in the volume of rod A to that of rod B is

One end of thick horizontal copper wire of length \(2L\) and radius \(2R\) is welded to the end of another thin horizontal copper wire of length \(L\) and radius \(R\). When they are stretched by applying the same force at the two ends, the ratio of the elongation in the thick wire to that in the thin wire is

The moduli of elasticity for a substance are Young’s modulus, Bulk modulus and Modulus of rigidity. All the three moduli of elasticity are possessed by

The percentage errors in measurements of mass and speed of a body are 2% and 3% respectively. What is the percentage error in kinetic energy of the body?

A planet has radius \( \dfrac{1}{4} \)th of the radius of earth and acceleration due to gravity double than that of the earth. Then the ratio of escape velocity on the surface of the planet to that on the earth’s surface will be

A force \(F\) of same magnitude is applied tangentially on upper and lower face of a cube, in opposite directions. Side of the cube is \(L\). The upper face of the cube shifts parallel to itself by a distance \(x_1\). If another cube of same material but side \(2L\) is subjected to the above condition, then the displacement of the top layer is

The energy stored per unit volume is \( 0.3 \, \text{J/m}^3 \) when a wire is stretched by \( 0.125 \, \text{cm} \). When it is stretched by \( 0.75 \, \text{cm} \), the increase in potential energy per unit volume stored in the wire is

A wire having a diameter of 3 mm is stretched by an external force to produce a longitudinal strain of \( 3 \times 10^{-3} \). If the Poisson’s ratio of the wire is 0.4, the change in its diameter is

A particle of mass \(m\) is rotating in a circle of radius \(r\) having angular momentum \(L\). Then the centripetal force will be

Following graph shows the variation of load (\( W \)) versus elongation (\( l \)) for four wires of the same length and material represented by lines OP, OQ, OR, and OS. Which line represents the thickest wire?

An elastic material with Young's modulus $Y$ is subjected to a tensile stress $S$. The elastic energy stored per unit volume of the material will be

In Searle's method to find Young's modulus of a wire, when a force of $1.5$ kg-wt is applied at its free end, the length of wire is $a$. When force of $2.5$ kg-wt is applied, the length of wire is $b$. What would be its original length?

A constant force is applied to a metal wire of length \( L \). Volume of the wire is constant. The extension produced is proportional to

A force of $10\,\text{N$ is required to break a wire of radius $1\,\text{mm}$. The force required to break the wire of same material but radius $3\,\text{mm}$ will be}

A lift of mass $m$ is connected to a rope which is moving upward with maximum acceleration $a$. For maximum safe stress, the elastic limit of the rope, is $T$. The minimum diameter of the rope is (g = gravitational acceleration)

The increase in pressure required to decrease the $ 200 \,L $ volume of a liquid by $ 0.008\% $ in $ kPa $ is (Bulk modulus of the liquid $ = 2100 \,MPa $ is)

Which of the following relation is true?

If in a wire of Young�s modulus $ Y $ , longitudinal strain $ X $ is produced then the potential energy stored in its unit volume will be

According to Hooke�s law of elasticity, if stress is increased, then the ratio of stress to strain