Salil wants to put a picture in a frame. The picture is `7 3/5 cm` wide. To fit in the frame the picture cannot be more than `7 3/10 cm` wide. How much should the picture be trimmed?

A lead pencil consists of cylinder of wood with a solid cylinder of graphite fitted into it. The diameter of the pencil is 7 mm. the diameter of the graphite is 1 mm and the length of the pencil is 10 cm. Calculate the weight of the whole pencil in grams correct to three places of decimals if the specific gravity of the the wood is 0.6 and of the graphite 2.3.

A picture is painted on a cardboard 8 cm long and 5 cm wide such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin

In Fig., you see the frame of a lampshade. It is to be covered with a decorative cloth. The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame. Find how much cloth is required for covering the lampshade. Assume pi = 22/7

Michael finished colouring a picture in 7/12 hour. Vaibhav finished coluring the same picture in 3/4 hour. Who worked longer? By what fraction was it longer?

Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden box covered with coloured paper with picture of Santa Claus on it (see Fig. 13.4). She must know the exact quantity of paper to buy for this purpose. If the box has length, breadth and height as 80 cm, 40 cm and 20 cm respectively how many square sheets of paper of side 40 cm would she require?

A stone is dropped into a quiet lake and waves move in circles at a speed of 3.5 cm per second. At the instant when te radius of the circular wave is 7.5 cm, how fast is the enclosed area increasing?

Light of intensity 10^-5 Wm^-2 falls on a sodium photocell of surface area 2 cm^2 . Assuming that the top 5 layers of sodium absorb the incident energy, estimate the time required for photoelectric emission on the wave picture of radiation. The work function for the metal is given to be about 2 eV. what is the implication of your answer?

An electric flux of -5xx10^3Nm^2C^-1 passes through a spherical gaussian surface of radius 20 cm due to the charge placed at its centre. If the radius of the gaussian surface is doubled, how much flux would pass through the surface?