Due to heavy floods in a state, thousands were rendered homeless, 50 schools collectively offered to the state governments to provide the place and the canvas for 1500 tents to be fixed by the government and decided to share the whole expenditure equally The lower part of each tent is cylindrical of base radius 2.8m and height 3.5, with the conical upper part of the same base radius but of height 2.1m. If the canvas used to make the tents cost 120 per sq.m, find the amount shared by each school to set up the tents. what value is generated by the above problem?
In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 . All values in the circuit are in .
A man donates 10 aluminum buckets to an orphanage. A bucket made of aluminum is of height 20 cm and has its upper
and lowest ends of radius 36 cm and 21 cm respectively. Find the cost of preparing 10 buckets if the cost of aluminum sheet is
42 per 100 cm2. Write your comments on the act of the man.
A bucket is in the form of a frustum of a cone whose height is 42 cm and the radii of its circular ends are 30 cm and 10 cm. Find the amount of milk (in litres) which this bucket can hold. If the milkman sells the milk at the rate of Rs 40 per litre, what amount he will get from the sale?
If the milkman sells half the milk at less rate to the economically weaker section of society, what value he exhibits by doing this?
Under the action of force a 2 kg body moves such that its position x as a function of time t is given by .The work done by the force in the first five seconds is
A container opened at the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of milk which can completely fill the container, at the rate of Rs 50 per litre. Also find the cost of metal sheet used to make the container, if it costs Rs10 per100 cm2. (Take = 3·14)
Two poles of equal heights are standing opposite to each other on either side of the road which is 80 m wide. From a point P between them on the road, the angle of elevation of the top of a pole is 60o and the angle of depression from the top of the other pole of point P is 30o. Find the heights of the poles and the distance of the point P from the poles.
Charles Darwin during his famous sea voyage around the world in a ship
(HMS Beagle), concluded that there has been gradual evolution of life.
Answer the following questions :
(a) What is his theory known as ? Explain the salient features of his
(b) Name a scientist who arrived at a similar conclusion as that of
Biotechnological techniques can help to diagnose the pathogen much before the symptoms of the disease appear in the patient. Suggest any two such techniques.
Given below is the diagram of a human ovum surrounded by a few sperms. Study the diagram and answer the following questions :
(a) Which one of the sperms would reach the ovum earlier ?
(b) Identify ‘D’ and ‘E’. Mention the role of ‘E’.
(c) Mention what helps the entry of sperm into the ovum and write the changes occurring in the ovum during the process.
(d) Name the specific region in the female reproductive system where the event represented in the diagram takes place.
Derive an expression for torque acting on an electric dipole placed in a uniform electric field Magnitude of Torque
Choose the correct answer
a) Velocity is a (scalar vector) quantity
b) The area under acceleration-time graph gives (change in velocity/displacement)