Home
Class 11
PHYSICS
The scale on a steel on a steel meter st...

The scale on a steel on a steel meter stick is calibrated at `15^@ C`. What is the error in the reading of `60 cm` at `27^@C` ? `alpha_(steel) =1.2 xx 10^-5 (.^@ C)^-1`.

Text Solution

Verified by Experts

The correct Answer is:
C, D
The error in the reading will be
`Deltal = ("scale reading") (alpha)(Delta T)`
`= (60) (1.2 xx 10^-5)(27^@ - 15^@)`
= `0.00864 cm`.
Promotional Banner

Topper's Solved these Questions

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Example Type 1|1 Videos

  • THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES

    DC PANDEY|Exercise Example Type 2|1 Videos

  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos

  • UNIT AND DIMENSIONS

    DC PANDEY|Exercise Assertion And Reason|2 Videos

Similar Questions

Explore conceptually related problems

A second's pendulum clock has a steel wire. The clock is calibrated at 20^@ C . How much time does the clock lose or gain in one week when the temperature is increased to 30^@ C ? alpha_(steel = 1.2 xx 10^-5(^@ C)^-1 .

A steel rular exactly 20 cm long is graguated to give correct measurements at 20^@C . (a) Will it give readings that are too long or too short at lower temperatures? (b) What will be that actual length of the rular when it is used in the desert at a temperature of 40^@ C ? alpha_(steel = 1.2 xx 10^-5(.^@ C)^-1 .

A steel tape is correctly calibrated at 20^(@)C and is used to measure the length of a table at 30^(@)C . Find the percentage error in the measurement of length. [alpha_(steel) = 11 xx 10^(-5)//.^(@)C]

A steel scale measures the length of a copper wire as 80.0 cm when both area at 20^(@)C (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at 40^(@)C ? (Given alpha_("steel") = 11 xx 10^(-6) per ^(@)C and alpha_("copper") = 17 xx 10^(-6) per^(@)C )

What must be the lengths of steel and copper rods at 0^(@)C for the difference in their lengths to be 10 cm at any common temperature? (alpha_(steel)=1.2xx10^(-5).^(@)K^(-1)and alpha_("copper")=1.8xx10^(-5).^(@)K^(-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) )

Two fines steel wires , fastened between the projectors of a heavy brass bar, are just taut when the whole system is at 0^(@)C . What is the tensile stress in the steel wires the temperature of the system is raised by 200^(@)C ? ( alpha_("glass") = 2 xx 10^(-5) ^(@)C ^(-1), alpha_("steel") = 1.2 xx 10^(-5)"^(@)C^(-1), Y_("steel") = 200GNm^(-2) )

A steel tape measures that length of a copper rod as 90.0 cm when both are at 10^(@)C , the calibration temperature, for the tape. What would the tape read for the length of the rod when both are at 30^(@)C . Given alpha_("steel")=1.2xx10^(-5)" per".^(@)Cand alpha_(Cu)=1.7xx10^(-5)per .^(@)C