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Which of the following concepts represents the criticism that the Indian Constitution is excessively lengthy?

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Important Questions on Linear Inequalities

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A cube of metal is subjected to a hydrostatic pressure

4 GPa

. The percentage change in the length of the side of the cube is close to : (Given bulk modulus of metal,

B = 8 \times 10^{10} Pa

)

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

One end of a horizontal thick copper wire of length

2 L

and radius

2 R

is welded to an end of another horizontal thin copper wire of length

L

and radius

R

. When the arrangement stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A steel wire having a radius of

2.0 m m

, carrying a load of

4 k g,

is hanging from a ceiling. Given that

g = 3.1 π m s^{- 2},

what will be the tensile stress that would be developed in the wire?

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A particle of mass

1 kg

is moving in SHM with a path length of

0.01 m

and frequency of

50 Hz

. The maximum force in newton, acting on the particle is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The length of a metal wire is

l_{1}

when the tension in it is

T_{1}

and is

l_{2}

when the tension is

T_{2}

. The natural length of the wire is,

HARD

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A wire of length

2 m

is clamped horizontally between two fixed support. A mass

m = 5 kg

is hanged from the middle of wire. What would be its vertical depression (in

cm

) in equilibrium?
(Young modulus of wire

= 4 \times 10^{9} N m^{2}

, cross-sectional area

= 1 {cm}^{2}

)

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An elastic spring has a mass suspended at its lower end, its upper end being fixed to support. The mass is pulled down to a certain distance and released. Calculate the time period of its oscillations.

HARD

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

15

kg

mass fastened to the end of the steel wire of unstretched length

1.0

m

is whirled in a vertical circle with an angular velocity of

2

rev

s^{- 1}

. The cross-section of the wire is

0.05 {cm}^{2}

. The elongation of the wire when the mass is at the lowest point of it's path is: (Take

g = 10 m s^{- 2}

Y_{steel} = 2 \times 10^{11} N m^{- 2}

)

HARD

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

A steel wire of length

4.5

m

and cross-sectional area

3 \times 10^{- 5} m^{2}

stretches by the same amount as a copper wire of length

3.5

m

and cross-sectional area of

4 \times 10^{- 5} m^{2}

under a given load. The ratio of the Young’s modulus of steel to that of copper is:

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One end of wire

2 m

long and diameter

2 mm

is fixed in a ceiling. A naughty boy of mass

10 kg

jumps to catch the free end and stays there. The change in length of wire is [Take

g = 10 m s^{- 2}, Y = 2 \times 10^{11} N m^{- 2}

]

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

If $E_{θ} a n d E_{ϕ}$ denote the isothermal and adiabatic elasticities respectively of a gas, then $\frac{E_{θ}}{E_{ϕ}}$

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Modulus of rigidity of ideal liquid is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The potential energy $U$ between two molecules as a function of the distance $X$ between them has been shown in the figure. The two molecules are

Question Image

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The average depth of Indian ocean is about

3000 m

. The fractional compression,

\frac{∆ V}{V}

of water at the bottom of the ocean is
(Given : Bulk modulus of water

= 2 .2 \times 10^{9} N m^{- 2}

and

g = 10 m s^{- 2}

)

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Which of the following substance has the highest elasticity?

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Define elasticity. When a body is called elastic and when is it called plastic? Explain elastic limit.

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Steel is more elastic than rubber. Explain why?

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Elasticity has different meaning in physics and in our daily life. Comment.

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Let

k

be the spring constant of a spring. If the spring is cut into two equal parts, then spring constant of each part is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Cotyledons are also called-

Which of the following concepts represents the criticism that the Indian Constitution is excessively lengthy?

Important Questions on Linear Inequalities

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