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Class XI Physics Mechanics of Solid 1
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Question 1
A trolley is initially moving towards right with velocity v0. Trolley stops after travelling distance ‘x’. Elastic string is attached to right end of trolley. Y= Young’s modulus of string. S = cross-section area of string. Find elongation in string (M = mass of string & L = natural length)
Question 2
Statement–1: If a metal wire is attached to the ceiling of a room and mass m is attached to another end, the energy stored in the stretched wire is 
where 
is the increment in length of wire.
Statement–2: In the above statement loss in gravitational energy is mg
while the loss in energy to surrounding is 
.
where is the increment in length of wire. Statement–2: In the above statement loss in gravitational energy is mg
while the loss in energy to surrounding is .Question 3
Figure shows roughly how the force (F) between two adjacent atoms in a solid varies with separation (r)
(i) OQ is equilibrium separation
(ii) Hooke’s law is obeyed around P
(iii) the potential energy of the atom is the gradient of the graph at all points
(iv) the energy to separate the atoms completely is obtained from the area enclosed below the axis or r.
(i) OQ is equilibrium separation
(ii) Hooke’s law is obeyed around P
(iii) the potential energy of the atom is the gradient of the graph at all points
(iv) the energy to separate the atoms completely is obtained from the area enclosed below the axis or r.
Question 4
A wire fixed at the upper end stretches by length λ by applying a force F. The work done in stretching is
Question 5
A wire elongates by 
mm when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)
mm when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm)Question 6
A wooden wheel of radius R is made of two semicircular parts (see figure); The two parts are held together by a ring made of a metal strip of cross sectional area A and length L. L is slightly less than 2πR. To fit the ring on the wheel, it is heated so that its temperature rises by ΔT and it just steps over the wheel. As it cools down to surrounding temperature, it pressure the semicircular parts together. If the coefficient of linear expansion of the metal is α, and its Young’s modulus is Y, the force that one of the wheel applies on the other part is:
Question 7
Two wires are made of the same material and have the same volume. However wire 1 has cross–section area A and wire 2 has cross–sectional area 3A. If the length of wire 1 increases by Δx on applying force F, how much force is needed to stretch wire 2 by the same amount?
Question 8
The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100 °C is :
(For steel Young's modulus is 2x 1011 Nm-2 and coefficient of thermal expansion is 1.1 × 10-5 K-1)
(For steel Young's modulus is 2x 1011 Nm-2 and coefficient of thermal expansion is 1.1 × 10-5 K-1)
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Jul 24JEE & BITSAT
