Question

The active element of a certain laser is made of a glass rod
25.0 cm long and 1.60 cm in diameter. Assume the average
coefficient of linear expansion of the glass is equal to
9.00 10^{-6} (°C)^{−1}. The temperature
of the rod increases by 62.0°C.

(a) What is the increase in its length?

cm

(b) What is the increase in its diameter?

cm

(c) What is the increase in its volume?

cm^{3}

Answer #1

Solution in the uploaded images

The left end of a long glass rod 5.82 cm in diameter has a
convex hemispherical surface 2.91 cm in radius.The refractive index
of the glass is 1.60. The rod is immersed in a liquid. An object
88.8 cm from the vertex of the left end of the rod and on its axis
is imaged at a point 1.64 m inside the rod.
What is the refractive index of the liquid?

A steel rod is 2.689 cm in diameter at 35.00°C. A brass ring has
an interior diameter of 2.684 cm at 35.00°C. At what common
temperature will the ring just slide onto the rod? The linear
expansion coefficient of steel is 11.00 × 10-6 1/C°. The
linear expansion coefficient of brass is 19.00 × 10-6
1/C°.
4sig figs

At 22°C, a rod is exactly 24.49 cm long on a steel ruler. Both
the rod and the ruler are placed in an oven at 230°C, where the rod
now measures 24.60 cm on the same ruler. What is the coefficient of
thermal expansion for the material of which the rod is made? The
linear expansion coefficient of steel is 11 x 10-6
1/C°.

At 22°C, a rod is exactly 23.45 cm long on a steel ruler. Both
the rod and the ruler are placed in an oven at 240°C, where the rod
now measures 23.70 cm on the same ruler. What is the coefficient of
thermal expansion for the material of which the rod is made? The
linear expansion coefficient of steel is 11 x 10-6
1/C°.

At 17°C, a rod is exactly 20.10 cm long on a steel ruler. Both
the rod and the ruler are placed in an oven at 261°C, where the rod
now measures 20.21 cm on the same ruler. What is the coefficient of
linear expansion for the material of which the rod is made?

A steel rod 30.0 m long, installed when the temperature was
10°C, is in a bridge that heats up to 40oC on a hot
summer day. Steel's coefficient of linear expansion is 1.2
× 10-5 K-1. The bridge is built so
the rod has an expansion space of 5 cm. Is this enough space? What
is the increase in the length of the rod, in mm?

Chapter 13
Quation #9
A glass flask whose volume is 1000 cm3 at a temperature of 0.400
∘C is completely filled with mercury at the same temperature. When
the flask and mercury are warmed together to a temperature of 52.0
∘C , a volume of 8.35 cm3 of mercury overflows the flask.
Part A
If the coefficient of volume expansion of mercury is βHg =
1.80×10−4 /K , compute βglass, the coefficient of volume expansion
of the glass.
Express your...

A rod is measured to be exactly 21.29 cm long using a
steel ruler at a temperature of 20.6°C. Both the rod and the ruler
are placed in an oven with a temperature of 354.0 °C where the rod
now measures 21.43 cm using the same ruler. What is the
coefficient of thermal expansion for the material of which the rod
is made?

A steel rod is 3.000 cm in diameter at 33.0 °C. A brass ring has
an interior diameter of 2.992 cm at 33.0 °C. At what common
temperature will the ring just slide onto the rod? The coefficients
of linear expansion of steel and brass are 1.100×10-5 , 1.900×10-5
/°C, respectively, answer in °C.

A steel rod without constrain has a length of 200 mm and
diameter of 20 mm at a temperature of 25oC. If the rod
is heated uniformly to 125oC, what will be the length
and diameter (accurate to 1/100 mm). What will be the stress at
125oC? The linear coefficient of thermal expansion of
steel is 12.5x10-6 m/m/C.

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