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A small particle of mass m is projected at an angle \Theta with the  x-axis with an initial velocity \upsilon _{0} in the  x-y plane as shown in the figure. At a time t< \frac{\upsilon _{0}\sin \Theta }{g}, the angular momentum of the particle is

where \hat{i},\hat{j}\, and\, \hat{k} are unit vectors along x,y and z-axis respectively.

Screenshot_2019-03-02-15-01-13-335_com.android.chrome.png A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v , the total area around the fountain that gets wet is
Screenshot_2019-03-02-15-10-57-209_com.android.chrome.png Two guns A and B can fire bullets at speeds 1 km/s and 2km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by two guns , on the ground is:
Screenshot_2019-03-04-09-21-04-564_com.android.chrome.png A very long (length L) cylindrical galaxy is made of uniformly distributed mass and has radius R (R<
You are asked to design a shaving mirror assuming that a person keeps it 10 cm from his face and views the magnified image of the face at the closest comfortable distance of 25 cm. The radius of curvature of the mirror would then be
In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5 cm from it. It is found that an object and its image coincide, if the object is placed at a distance of 20 cm from the lens. The focal length of the convex mirror is .
In a Young's double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is
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