The compressibility of water is 46 . 4 × 10 – 6 atm - 1 . This means that

volume of water decreases by 46 . 4 one-millionths of the original volume for each atmosphere increase in pressure.

the bulk modulus of water is 46 . 4 × 10 6 atm .

when water is subjected to an additional pressure of one atmosphere, its volume decreases by 46 . 4 % .

when water is subjected to an additional pressure of one atmosphere, its volume is reduced to 10 – 6 of its original volume.

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A solid cylinder of radius $r$ and length $l$ is clamped at its upper end and the lower end is twisted through $θ$ . The shear strain is given by.

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Important Questions on Elasticity

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-1>Q 11

If work done in stretching a wire by

1 mm

2 J

, the work necessary for stretching another wire of the same material, but with double the radius and half the length by

1 mm

in joule is

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-2>Q 1

A force

F

is needed to break a copper wire having radius

R

. The force needed to break a copper wire of radius

2 R

will be:

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-2>Q 2

50 kg

motor rests on four cylindrical rubber blocks. Each block has a height of

4 cm

and a cross-sectional area of

16 {cm}^{2}

. The shear modulus of rubber is

2 \times 10^{6} N m^{- 2}

. A sideways force of

500 N

is applied to the motor. The distance that the motor moves sideways is

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-2>Q 3

A brass rod of length

2 m

and cross-sectional area

2.0 {cm}^{2}

is attached end to end to a steel rod of length

L

and cross-sectional area

1.0 {cm}^{2}

. The compound rod is subjected to equal and opposite pulls of magnitude

5 \times 10^{4} N

at its ends. lf the elongations of the two rods are equal, then the length of steel rod

(L)

(Y_{Brass} = 1.0 \times 10^{11} N m^{- 2} and Y_{Steel} = 2.0 \times 10^{11} N m^{- 2})

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-2>Q 4

The compressibility of water is

46.4 \times 10^{- 6} {atm}^{- 1}

. This means that

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-2>Q 5

If the ratio of lengths, radii and Young’s moduli of steel and brass wires in the figure are $a, b$ and $c$ respectively. Then the corresponding ratio of increase in their lengths would be:

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-2>Q 6

If a rubber ball is taken at the depth of $200 m$ in a pool, its volume decreases by $0.1 %$ . If the density of the water is $1 \times 10^{3} kg m^{- 3}$ and $g = 10 m s^{- 2}$ , then the volume elasticity in $N m^{- 2}$ will be

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Alpha Question Bank for Medical: Physics>Chapter 12 - Elasticity>Exercise-2>Q 7

Two wires of the same material and length but diameter in the ratio

1 : 2

are stretched by the same force. What is the ratio of potential energy per unit volume for the two wires when stretched?

A solid cylinder of radius r and length l is clamped at its upper end and the lower end is twisted through θ. The shear strain is given by.

Important Questions on Elasticity

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A solid cylinder of radius $r$ and length $l$ is clamped at its upper end and the lower end is twisted through $θ$ . The shear strain is given by.