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CHAPTER THERMAL PROPERTIES OF MATTER 10 Exercise 1: NCERT Based Topic-wise MCQs 10.1 & 10.2 INTRODUCTION, TEMPERATURE AND HEAT 1. Heat is associated with NCERT Page-279 / N-202 (a) kinetic energy of random motion of molecules (b) kinetic energy of orderly motion of molecules (c) total kinetic energy of random and orderly motion of molecules (d) None of these 10.3 MEASUREMENT OF TEMPERATURE 2*. The reading of Centigrade thermometer coincides with that of Fahrenheit thermometer in a liquid. The temperature of the liquid is NCERT Page-279 / N-203 (a) −40∘C (b) 313∘C (c) 0 ∘C (d) 100∘C 3*. The TF versus Tc graph will be a NCERT Page-279 / N-203 (a) straight line parallel to x-axis (b) straight line parallel to y-axis (c) straight line inclined to x-axis (d) parabolic curve 4*. A thermometer graduated according to a linear scale reads a value x0 when in contact with boiling water, and x0/3 when in contact with ice. What is the temperature of an object in ∘C, if this thermometer in the contact with the object reads x0/2 ? NCERT Page-279 / N-203 (a) 25 (b) 60 (c) 40 (d) 35 10.4 IDEAL-GAS EQUATION AND ABSOLUTE TEMPERATURE 5*. Choose the correct equation for interconversion temperature scales. NCERT Page-279 (a) TC−0 100 = TF−32 180 (b) TF−32 180 = TK+273.15 100 (c) TF−32 180 = TK−273.15 180 (d) TC−0 180 = TF−32 100
10.5 THERMAL EXPANSION 6. Expansion during heating NCERT Page-281, 282 / N-205, 206 (a) occurs only in solids (b) increases the weight of a material (c) generally decreases the density of a material (d) occurs at the same rate for all liquids and solids 7. Which of the following will expand the most for same rise in temperature? NCERT Page-281 / N-205 (a) Aluminium (b) Glass (c) Wood (d) All will expand same 8. If α, β and γ are coefficient of linear, area and volume expansion respectively, then NCERT Page-283 / N-207 (a) γ = 3α (b) α = 3γ (c) β = 3α (d) γ = 3β 9. On heating a liquid of coefficient of cubical expansion γ. in a container having coefficient of linear expansion γ/ 3 , the level of liquid in the container will NCERT Page-283 / N-207 (a) rise (b) fall (c) remain almost stationary (d) It is difficult to say 10. An iron tyre is to be fitted on to a wooden wheel 1m in diameter. The diameter of tyre is 6mm smaller than that of wheel. The tyre should be heated so that its temperature increases by a minimum of (the coefficient of cubical expansion of iron is 3.6 × 10−5 / ∘C ) NCERT Page-283 / N-207 (a) 167∘C (b) 334∘C (c) 500∘C (d) 1000∘C 11. A metal sheet with a circular hole is heated. The hole NCERT Page-281// N-205 (a) gets larger (b) gets smaller (c) remains of the same size (d) gets deformed 12. A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal A has higher coefficient of expansion compared to that of metal B. When the bimetallic strip is placed in a cold bath, it will: (a) Bend towards the left NCERT Page-283 / N-207 (b) Bend towards the right (c) Not bend but shrink (d) Neither bend nor shrink
13. A glass flask is filled up to a mark with 50cc of mercury at 18∘C. If the flask and contents are heated to 38∘C, how much mercury will be above the mark? ( α for glass is 9 × 10−6/ ∘C and coefficient of real expansion of mercury is 1.80 × 10−6 / ∘C ) NCERT Page-283 / N-207 (a) 0.85cc (b) 0.46cc (c) 0.153cc (d) 0.05cc 14. A bar of iron is 10cm at 20∘C. At 19∘C it will be ( α of iron = 11 × 10−6 / ∘C ) NCERT Page-281 / N-205 (a) 11 × 10−6 cm longer (c) 11 × 10−5 cm shorter (b) 11 × 10−6 cm shorter (d) 11 × 10−5 cm longer 15. Two marks on a glass rod 10cm apart are found to increase their distance by 0.08mm when the rod is heated from 0 ∘C to 100∘C. A flask made of the same glass as that of rod measures a volume of 1000cc at 0 ∘C. The volume it measures at 100∘C in cc is NCERT Page-283 / N-207 (a) 1002.4 (b) 1004.2 (c) 1006.4 (d) 1008.2 16. The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1: 4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures? NCERT Page-283 / N-207 (a) 2: 5 (b) 1: 4 (c) 1: 64 (d) 1: 8 17. In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures t1 and t2. The liquid columns in the two arms have heights l1 and l2 respectively. The coefficient of volume expansion of the liquid is equal to NCERT Page-283 / N-207 (a) l1−l2 l2t1−l1t2 (b) l1−l2 l1t1−l2t2 (c) l1+l2 l2t1+l1t2 (d) l1+l2 l1t1+l2t2 18. A pendulum clock loses 12s a day if the temperature is 40∘C and gains 4s a day if the temperature is 20∘C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion (α) of the metal of the pendulum shaft are respectively: NCERT Page-281 / N-205 (a) 30∘C;α = 1.85 × 10−3 / ∘C (b) 55∘C; α = 1.85 × 10−2 / ∘C (c) 25∘C;α = 1.85 × 10−5 / ∘C
(d) 60∘C; α = 1.85 × 10−4 / ∘C 19. The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and that when heated in a silver vessel is S. If A is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is (a) C+S−3A 3 NCERT Page-283 / N-207 (b) C+3A−S 3 (c) S+3A−C 3 (d) C+S+3A 3 20. The coefficient of linear expansion for a certain metal varies with temperature as α(T). If L0 is the initial length of the metal and the temperature of metal is changed from T0 to T(T0 > T), then NCERT Page-281/ N-205 (a) L = L0∫T0 T α(T)dT (b) L = L0 [1 + ∫T0 T α(T)dT] (c) L = L0 [1 − ∫T0 T α(T)dT] (d) L > L0 21. The length of a metallic rod is 5m at 0 ∘C and becomes 5.01m, on heating upto 100∘C. The linear expansion of the metal will be NCERT Page-281 / N-205 (a) 2.33 × 10−5 / ∘C (b) 6.0 × 10−5 / ∘C (c) 4.0 × 10−5 / ∘C (d) 2.0 × 10−5 / ∘C 22. A solid metallic cube having total surface area 24m2 is uniformly heated. If its temperature is increased by 10∘C, calculate the increase in volume of the cube. NCERT Page-281 / N-205 (Given : α = 5.0 × 10−4 ∘C −1 ) (a) 2.4 × 106 cm3 (c) 6.0 × 104 cm3 (b) 1.2 × 105 cm3 (d) 4.8 × 105 cm3 23. The coefficient of apparent expansion of mercury in a glass vessel is 153 × 10−6 / ∘C and in a steel vessel is 144 × 10−6 / ∘C. If α for steel is 12 × 10−6 / ∘C, then that of glass is NCERT Page-283 / N-207 (a) 9 × 10−6 ∘C (c) 36 × 10−6 /C (b) 6 × 10−6 ∘C (d) 27 × 10−6 ∘C 24. The value of coefficient of volume expansion of glycerine is 5 × 10−4K −1 . The fractional change in the density of glycerine for a rise of 40∘C in its temperature, is: NCERT Page-283 / N-207 (a) 0.020 (b) 0.025 (c) 0.010 (d) 0.015 25. A rod PQ of length l is pivoted at an end P and freely rotated in a horizontal plane at an angular speed ω about a vertical axis passing through P. Coefficient of linear expansion of material of rod is α. Find the percentage change in its angular velocity if temperature of system is increased by ΔT is NCERT Page-281 / N-205 (a) (αΔT × 100)% (b) (2αΔT × 100)%

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