Population of Rajashthan =570 lakhs and populatin of UP=1660 lakhs. Area of Rajashtan =3 lakh `km^2` and area of UP = 2 lakh `km^2`: which state is less populated?

Population of Rajashthan =570 lakhs and populatin of UP=1660 lakhs. Area of Rajashtan =3 lakh km^2 and area of UP = 2 lakh km^2 : How amny people are there per km^2 in both these states?

Find the areas of the rectangles whose sides are : ( c) 2 km and 3km

In one fortnight of a given month, there was a rainfall of 10 cm in a river valley. If the area of the valley is 7280 km^(2) , show that the total rainfall was approximately equivalent to the total water of three rivers, each 1072 km long, 75 m wide, and 3 m deep.

A closely wound solenoid of 800 turns and area of cross section 2.5 xx 10^(-4)m^(2) carries a current of 3.0 A. Explain the sense in which the solenoid acts like a bar magnet. What is its associated magnetic moment?

A woman starts from her home at 9.00 am, walks with a speed of 5 km h^(-1) on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of 25 km h^(-1) . Choose suitable scales and plot the x-t graph of her motion.

A cloud of thickness 10 m and area 10^(6)m^(2) is formed at a height of 2 km above the ground. If the density of water is 10^(3)kgm^(-3) , then calculate the potential energy of the cloud (g=9.8ms^(-2)) .

Consider the following statement (a-d) each with one or two blanks (a) Brears go into (1) ______during winter to (2)_____cold weather (b) A conical age pyramid with a broad base represents (3)_____human population. © A wasp pollinating a fig flower is an example of (4)_____ (d) an area with high levels of species richness is known as (5)_____ which one of the following options, gives the correct fill ups for the respective blank numbers from (1) to (5) in the statements:-

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increased at the rate of 0.05 cm//s . Find the rate at which its area is increasing when radius is 3.2 cm.

Let S_(1) , S_(2) ,"……." be square such that for each n gt 1 , the length of a side of S_(n) equals the length of a diagonal of S_(n+1) . If the length of a side of S_(1) is 10cm, then for which of the following values of n is the area of S_(n) less than 1 sq cm ?

A closely wound solenoid of 2000 turns and area of cross-section 1.6 xx 10^(-4)m^(2)? carrying a current of 4.0 A. is suspended through its centre allowing it to turn in a horizontal plane. (a) What is the magnetic moment associated with the solenoid? (b) What is the force and torque on the solenoid if a uniform horizontal magnetic field of 7.5 xx 10^(-2)T is set up at an angle of 30^@ with the axis of the solenoid?