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According to Joule's law of heating, heat produced , where is current, is resistance and is time. If the errors in the measurement of and are and respectively then error in the measurement of is:

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Question 1
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UNTTS AND MEASUREMENT 1.1 INTRODUCTION Measurement of any physical quantity involves compariven with a certaln basic, arbitrarily chosen, intemationally accepted reference standard called unit, The result of measurement of a physlcal quantity is expressed by 8 number for numerical measure) accompanied by a unit Although the number of physical quantities appears to be very larke, we need only a limited number of units for expressing all the physical quantities, since they are interrelated with one another. The units for the fundamental or base quantities are called fundamental or base units. The units of all other phystcal quantittes can be expressed as combinations of the base units. Such units obtained lor the derived quantities are called derived units. A complete sel known as the system of units. known as the system of units. 1.2 THE INTERNATIONAL SYSTEM OF UNTTS In earlier time scientists of different countries were using different systems of units for measurement. Three such systems, the CGS, the FPS (or British) system and the MTS system were in use extensively till recently. The base units for length, mass and time in these systems were as follows : - In CGS system they were centimetre, gram and second respectively. - In FPS system they were foot, pound and second respectively. - In MKS system they were metre, kilogram and second respectively. The system of units which is at present internationally accepted for measurement is the Système Intemationale d Unites (French for International System of Units). abbreviated as SI. The SI, with standard scheme of symbols. units and abbreviations, developed by the Bureau International des Poids et measures (The International Bureau of Weights and Measures, BIPM) in 1971 were recently revised by the General Conference on Weights and Measures in November 2018. The scheme is now for
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712 22. Three rods of equal length and diameter at much time entire ice will melt? Latent heat of ice is 80 and mass of ice is . (UP 2000) Ans. 1333.3 second [Hint: cube has six faces, therefore its area . where is cube side.] 16. A metallic rod of length has its cross sectional area . If temperature different of the ends of the rod in steady state is then find rate of heat flow and its thermal resistance. Coefficient of the thermal conductivity of the substance of the rod is . (UP 2011) Ans, - s/calorie 17. Ratio of coefficients of thermal conductivities of two rods of different substances is 5:3. Find the ratio of lengths of these rods when thermal resistance of two rods of same thickness of there substances are kept equal. 18. Readings of three thermometers and are , and respectively. is positioned between the body of a man and vest, is between vest and shirt, and between shirt and coat. If thickness of vest and shirt is the same then find the ratio of their coefficients of thermal conductivity. Ans. Questions Based on Combinations of Conductors 19. Dlane surfaces of two sheets of different metals are put in contact with each other. Thickness of sheets are and respectively and ratio of their thermal conductivities is in that order. If of the outer surfaces of the sheets are at constant temperature and respectively then find the temperature of the contact surfaces of the sheets. Ans. Temperature of castant surfaces 20. Two rods of equal cross-sectional area and equal length are joined in series. Ratio of thermal conductivities of their substance is in . If in steady state temperatures of their open ends are and then find the temperature of their junction. (UP 2001) Ans. 21. Thermal conductivity of copper is four times of brass. copper and brass rods of equal cross-sectional area and lengths are connected in series. Temperature of the open end of copper rod is and that of brass rod it is . Find the temperature at the junction of the rods in equilibrium position. Loss of radiation is negligible. Ans. series. The ratio of their thermal conduc respective. If in equilibrium state outer-ends of first and third rods are 10 respectively then calculate the temper contact surface. Ans. i. In a composite structure made with two and of different substance is shown in is conducing. Thickness of and are respectively and coefficients therma of their substance are 0.32 and 0.14 res. steady state outer temperatures of and respectively then find the tempe surface between and . Fig. 20.21 Ans. 24. In Fig. 20.22, two rods of the same t together. Length of first rod is half of cross-sectional area is double. Find th junction of the rods. Fig. 20.22 Ans. 25. Three rods of equal cross-sectional ar joined in series. Ratio of their thermal . If temperature of open ends of are and respectively temperatures of both junctions. Ans. 26. Thermal conductivity of copper is do and four times of brass. Three rods equal length and diameter are connec that aluminum rod remains in middle. end of copper is at and that of br Find the equilibrium temperature at brass junctions. Ans. 27. In Ingen-Hausz experiment, wax on rod melts upto distance and 10 thermal conductivity of silver is 0.1 fine its value for the iorn. Ans.
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Question Text
According to Joule's law of heating, heat produced , where is current, is resistance and is time. If the errors in the measurement of and are and respectively then error in the measurement of is:
Updated OnJul 31, 2023
TopicUnits and Measurements
SubjectPhysics
ClassClass 11
Answer TypeText solution:1 Video solution: 4
Upvotes343
Avg. Video Duration6 min