We know that `log_(10)100000 = 5`
Show that you get the same answer by writing `100000 = 1000 xx 100` and then using the product rule. Verify the answer.

We know log_(2)32 = 5 . Show that we get the same answer by writing 32 as 64/2 and then using the product rule. Verify your answer .

We have log_(2)32 = 5 . Show that we get the same result by writing 32 = 2^(5) and then using power rules. Verify the answer.

We can write log"" x/y = log (x.y^(-1 )) Can you prove that log"" x/y = log x - logy using product and power rules.

The following graph shows the temperature of a patient in a hospital,recorded every hour: (a)What was the patients temperature at 1 p.m? (b)When was the patient's temperature 38.5^@ C? (c)The patient's temperature was the samae two times during the period given.What were these two times? (d)What was the temperature at 1.30 p.m?How did you arrive at your answer? (e)During which periods did the patients temperature showed an upward trend?

(i) Why do we classify elements ? (ii) What are the two criteria used in the development of Modern Periodic Table ? (iii) State the position of (a) metals, (b) non-metals and ( c) metalloids in the periodic table. (iv) Would you place two isotopes of chlorine, Cl-35 and Cl-37 in different slots of the periodic table because of their different atomic masses or in the same slot because their chemical properties are same ? Justify your answer.

Two dice, one blue and one grey, are thrown at the same time. i] Write down all the possible outcomes and complete the following table: ii] A student argues that 'there are 11 possible outcomes 2,3,4,5,6,7,8,9,10,11 and 12. There, each of them has a probability (1)/(11) . do you agree with this arguement ?

Two ideal gas thermometers A and B use oxygen and hydrogen respectively. The following observations are made: {:("Temperature","Pressure","Pressure"),(,"thermometer A","thermometer B"),("Triple - point water",1.250 xx10^(5) Pa,0.200 xx 10^(5) Pa),("Normal melting point of sulphur",1.797 xx10^(5)Pa,0.287 xx10^(5)Pa):} (a) What is the absolute temperature of normal melting point of sulphur as read by thermometers A and B ? (b) What do you think is the reason behind the slight difference in answers of thermometers A and B ? (The thermometers are not faulty). What further procedure is needed in the experiment to reduce the discrepancy between the two readings ?