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Show that a plumb line deviates from the vertical line slightly at all latitudes except 0° and 90° due to the diurnal motion of the earth. Also show that this effect is maximum at the latitude 45° and hence determine this ...

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A particle is projected from a point to hit an apple as shown in the figure.The particle is directly aimed at the apple.Show that the particle will not hit the apple.Now show that if the string with which the apple is hung is ...

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A man stands on the top of a high building with a source of sound with frequency 1000 Hz.He accidently drops the device.Find the frequency of the sound heard by the man 4 seconds after he drops the device?(Speed of sound=320 ...

Find the no of arrangements of the word 'Delhi' if e always comes before i. ...

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A spherical ball of mass m and radius r rolls without slipping on a rough concave surface or large radius R. It makes small oscillations about the lowest point. Find the time period. (H.C. Verma Part1 S.H.M.Q. No:39) ...

Pressure at a point= hdg where h is height and d is density.Now look at the figure given below. *Image* Here, the pressure is more at point A than the pressure at point B as height of A is more than that of B. So, fluid shoul ...

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A body floats in complete immersed condition in water as shown as in figure.As the whole system is allowed to slide down freely along the inclined surface,the magnitude of buoyant force *Image* (a)remains unchanged (b)increas ...

a ball of mass m,radius r rolls along a circular path of radius R.Its speed at bottom(θ=0)of path is v0.Find the force of path (Normal and friction) on the ball as a function of θ *Image* ...

A cylinder of mass m is kept on the edge of a plank of mass 2m and length 12m, which in turn is kept on smooth ground.Coefficient of friction between plank an the cylinder is 0.1.The cylinder is given an impulse,which imparts ...

A man throws a ball horizontally with a velocity vo from a distance of 4m vertically above the lowest point of the incline.He throws it towards the incline.The ball hits the inclined plane perpendicularly.Find vo?(g=10m/s2) ...

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A train goes around a circle, the first time with an average velocity of 100 km/h. How fast should the train be when going around the circle again a second time, so that the average velocity over the two loops is 200 km/h? ...

2 parallel st. lines are inclined to the horizontal at an angle α .A particle is projected from a point midway between them so as to graze one of the linesand strike the other at right angle .If θ be the nagle btwn directio ...

We all know that the c.o.m of a spherical ball having a small hole through which water leaks out at the bottom first goes down and then comes up..Ques is..>wat is the maximum depth till which the c.o.m. goes down..do the ...

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A train is moving along a straight line with a constant acceleration a. A boy standing in the train throws a ball forward at an angle of 60° to the horizontal. The boy has to move forward by 1.15m inside the train to catch t ...