Asha and Samuel have bookshelves of the same size partly find with books. Asha's shelf is 6 5 ​ th full and Samuel's shelf is 5 2 ​ th full. Whose bookshelf is more full? By what fraction?

Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction?

In the figure above, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum number of full cups of water that can be placed into the container without the water overflowing the container?

A can is (1)/(4)th full of water. When this water is poured into another can, the other can is (3)/(5)th full of water. Find the ratio of the capacity of the first can to that of the second.

Sushant has a vessel of the form of an inverted cone, open at the top, of height 11 cm and radius of the top as 2.5 cm and is full of water. Metallic spherical balls each of diameter 0.5 cm are put in the vessel due to which two - fifths of the water in the vessel flows out Find how many balls were put in the vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds. What value has been shown by Sushant ?

A n-type silicon sample of width 4 xx 10^(-3)m , thickness 25 xx 10^(-5)m and length 6 xx 10^(-2)m carries a current of 4.8 mA when the voltage is applied across the length of the sample. If the free electron density is 10^(22)m^(-3) , then find how much time does it take for the electrons to travel the full length of the sample? Given that charge on an electron e=1.6 xx 10^(-19)C

The rain water from a roof of 22\ mxx20\ m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full, find the rain fall in cm.

Sita's present age is 1 2/5 times of her age at the time of marriage. She married 10yr ago. Now she has a son whose age is 1 more than 1/5 th of her age at the time of marriage. Find the age of son?

In a rain water harvesting system the rain water form a roof of 22 m xx 20m drains in to a cylindrical tank having diameter of base 2m and height 3.5 m . If the tank is full find the rainfall in cm . Write your views on water conservation .

(a) The decomposition of A into products has a value of K as 4.5 xx 10^(3)s^(-1) " at "10^(@)C and energy of activation 60kJ "mol"^(-1) . At what temperature would K be 1.5 xx 10^(4) s^(-1) ? (b) (i) If half life period of a first order reaction is x and 3//4^(th) life period of the same reaction is y, how are x and y related to each other ? (ii) In some cases it is found that a large number of colliding molecules have energy more than threshold energy, yet the reaction is slow. Why?