a stone is dropped into a well in which the level of water

A stone is dropped into a well in which the level of water is $$h$$ below the top of the well. If $$v$$ is velocity of sound, the time $$T$$ after which the splash is heard is given by

A. $$T = \frac{{2h}}{v}$$

B. $$T = \sqrt {\left( {\frac{{2h}}{g}} \right)} + \frac{h}{v}$$

C. $$T = \sqrt {\left( {\frac{{2h}}{v}} \right)} + \frac{h}{g}$$

D. $$T = \sqrt {\left( {\frac{h}{{2g}}} \right)} + \frac{{2h}}{v}$$

Answer : $$T = \sqrt {\left( {\frac{{2h}}{g}} \right)} + \frac{h}{v}$$

Solution :
Time taken by the stone to reach the water level $${t_1} = \sqrt {\frac{{2h}}{g}} $$
Time taken by sound to come to the mouth of the well, $${t_2} = \frac{h}{v}$$
$$\therefore $$ Total time $${t_1} + {t_2} = \sqrt {\frac{{2h}}{g}} + \frac{h}{v}$$

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Basic Physics >> Kinematics

Releted Question 1

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A. Due north

B. $${30^ \circ }$$ East of north

C. $${30^ \circ }$$ West of north

D. $${60^ \circ }$$ East of north

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Releted Question 2

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

A. 1

B. 3

C. 4

D. $$\sqrt {41} $$

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Releted Question 3

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A. $$3.14 \,m/s$$

B. $$2.0 \,m/s$$

C. $$1.0 \,m/s$$

D. Zero

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Releted Question 4

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

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A stone is dropped into a well in which the level of water is $$h$$ below the top of the well. If $$v$$ is velocity of sound, the time $$T$$ after which the splash is heard is given by

Releted MCQ Question on
Basic Physics >> Kinematics

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

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A stone is dropped into a well in which the level of water is $$h$$ below the top of the well. If $$v$$ is velocity of sound, the time $$T$$ after which the splash is heard is given by

Releted MCQ Question on Basic Physics >> Kinematics

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A boat which has a speed of $$5 km/hr$$ in still water crosses a river of width $$1 \,km$$ along the shortest possible path in $$15 \,minutes.$$ The velocity of the river water in $$km/hr$$ is-

In $$1.0\,s,$$ a particle goes from point $$A$$ to point $$B,$$ moving in a semicircle of radius $$1.0 \,m$$ (see Figure). The magnitude of the average velocity-

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$ Neglecting subsequent motion and air resistance, its velocity $$v$$ varies with the height $$h$$ above the ground as-

Practice More Releted MCQ Question on Kinematics

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Kinematics