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A bimetallic strip made of materials X and Y, with linear expansion coefficients and respectively (), is fixed at one end. When heated, the strip bends. A small mass 'm' is attached to the free end, producing a bending moment 'M'. If the temperature is further increased by , and assuming the bending remains elastic, the additional bending moment required to keep the strip straight is:
(1/2)Ywd^2(α_X - α_Y)ΔT
(1/4)Ywd^2(α_X - α_Y)ΔT
Ywd^2(α_X - α_Y)ΔT
(1/8)Ywd^2(α_X - α_Y)ΔT
A solid sphere of radius 'R' made of a material with a volume expansion coefficient '' is heated by . The fractional change in its moment of inertia about a diameter is:
(2/5)γΔT
(2/3)γΔT
(1/3)γΔT
(1/5)γΔT
A pendulum clock keeps correct time at . The pendulum is made of a material with a linear expansion coefficient . If the temperature increases to , how much time will the clock gain or lose in one day?
Gain seconds
Lose seconds
Gain seconds
Lose seconds
A bimetallic strip made of materials A and B, with linear expansion coefficients and respectively (), is fixed at one end. When the temperature increases, which way will the strip bend?
Towards material A
Towards material B
The strip will not bend
The direction depends on the lengths of A and B
Which of the following is the correct relationship between linear expansivity (), superficial expansivity (), and cubical expansivity ()?
A bimetallic strip is made of two metals with different linear expansivities. When heated, the strip bends because:
Both metals expand equally.
The metal with the higher expansivity expands more.
The metal with the lower expansivity expands more.
Neither metal expands.
A steel bridge is built with expansion joints because:
To make the bridge look more aesthetically pleasing.
To allow for expansion and contraction of the bridge due to temperature changes.
To reduce the weight of the bridge.
To strengthen the bridge against earthquakes.