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 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.

Say true or false and justify your answer: 2^3>5^2

Is 7 xx 5 xx 3 xx 2 + 3 a composite number? Justify your answer.

Draw a plot showing the variation of potoelectric current with collector plate potential for two different frequencies, v_(1) gt v_(2) , of incident radiation having the same intensity. In which case will the stopping potential be hgiher ? Justify your answer.

Say true or false and justify your answer: 2^3xx3^2=6^5

For the circuit shown here, would the balancing length increse, decrease or remain the same, if (i) R_(1) is decreased: (ii) R _(2) is increased , without any other change, (in each case) in the rest of the circuit. Justify your answers in each case.

Is ** defined on the set {1,2,3,4,5} by a ** b =L.C.M. of a and b a binary operation ? Justify your answer.

(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.