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A brass sheet is 25 cm long and 8 cm bre...

A brass sheet is `25 cm` long and `8 cm` breath at `0^(@) C`. Its area at `100^(@)C` is `(alpha = 18 xx 10^(-6 // ^(@))C)`

A

`207.2 cm^(2)`

B

`200.72 cm^(2)`

C

`272 cm^(2)`

D

`2000.72 cm^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`A_(2) = A_(1)(1 + betaDeltat) beta = 2alpha`
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A sheet of brass is 50 cm long and 10 cm broad at 0^(@)C . The area of the surface increases by 1.9 cm^(2) at 100^(@)C . Find the coefficient of linear expansion of bras.

A metallic sheet is 50 cm long and 20 cm wide at 0^@C . If it is heated to 60^@C , what will be its area? Given that alpha=10^(-4)//""^@C .

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A clock while keeps correct time at 30^(@)C has a pendulum rod made of brass. The number of seconds it gains (or) looses per second when the temperature falls to 10^(@)C is [ alpha of brass = 18 xx 10^(-6//@)C ]

An iron sphere has a radius of 10 cm at a temperature of 0^(@)C . Calculate the change in volume of the sphere if it is heated to 100^(@)C . Given alpha_(Fe) = 1.1 xx 10^(-6).^(@)C^(-1)

A fine steel wire of length 4 m is fixed rigidly in a heavy brass frame as ashown in figure . It is just taut at 20^(@)C . The tensile stress developed in steel wire it whole system is heated to 120^(@)C is :- ( Given alpha _("brass") = 1.8 xx 10^(-5) .^(@)C^(-1), alpha_("steel") = 1.2 xx 10^(-5) .^(@)C, Y_("steel") = 2 xx 10^(11) Nm^(-2), Y_("brass")= 1.7xx10^(7) Nm^(-2) )

A glass rod when measured with a zinc scale, both being at 30^(@)C , appears to be of length 100 cm . If the scale shows correct reading at 0^(@)C , then the true length of glass rod at 30^(@)C and 0^(@)C are :- ( alpha_("glass") = 8 xx 10^(-6)"^(@)C ^(-1), alpha_("zinc") = 26 xx 10^(-6) K^(-1) )

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