A 60 W lamp is rated at 0.8 watt/candela. Calcualte:
illuminance at a distance of 2 metre from the lamp.

A water jet from the fountain reaches its maximum height of 4 metres at a distance of 0.5 metre from the vertical passing through the point A of the water outlet. Show that the height of the jet above the horizontal AX at a distance of 0.75 metre from the point A is 3 metres.

In a Young's double slit experiment,two slits are 1.5 mm apart and a screen in placed at a distance 1.2 m from the plane of the slits .The slits are illuminated with light of wavelength 6,000 overset @A .Find the inimum distance from the central maximum for which the intensity is half of the maximum intensity.

The angle of elevation of the top of a tower from a point A on the ground is 30^@ . On moving a distance of 20 metres towards the foot of the tower to a point B, the angle of elevation increases to 60^@ . Find the height of the tower and distance of the tower from the point A.

Find the distance of the plane x-3y+2z-8=0 from the origin.

A gramophone disc rotates at 60 revolutions per minute. A coin of mass 13 g is placed at the disc at a distance of 8.0 cm from the centre. Calculate centrifugal force on the coin.

Two points charges q_1 = 10 xx 10^-8 c and q_2 = -2 xx 10^-8 C are separated by a distance of 60cm in air. Find at what distance form the charge, would the electric potential be zero.

A 60 volt , 10 watt lamp is to be run on 100 volt-60 hertz a.c. mains. Calculate the inductance of the choke required

A 60 volt , 10 watt lamp is to be run on 100 volt-60 hertz a.c. mains. Calculate if resistance is to be used instead of choke, what wil be its value?

A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit?