A simple pendulum made of a bob of mass m and a metallic wire of… | JEE Main 2016 (9 Apr, Shift 1)

Q67JEE Main 2016 · 9 APR · SHIFT 1Medium

Thermometry & Thermal Expansion

A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the temperature of the wire is increased and the corresponding change in its time period is plotted against its temperature, the resulting graph is a line of slope S. If the coefficient of linear expansion of metal is $\alpha$ then the value of S is:

Show answer and solution

Answer: (a)

$T = 2\pi\sqrt{L/g}$ , so $\dfrac{\Delta T}{T} = \dfrac{1}{2}\alpha\theta$ .
$\Delta T = \dfrac{2}{2}\alpha\theta = \alpha\theta$ (with $T = 2$ s).
Slope $S = \alpha$ , answer (a).

Report a mistake

More questions on Thermometry & Thermal Expansion

A pendulum clock loses 12 s a day if the temperature is 40°C and gains 4 s a day if the…JEE Main 2016
On a linear temperature scale Y, water freezes at -160° Y and boils at -50° Y. On this Y…JEE Main 2013 (9 Apr, Shift 1)
The ratio of the coefficient of volume expansion of a glass container to that of a…JEE Main 2013 (23 Apr, Shift 1)
A wooden wheel of radius R is made of two semicircular part (see figure). The two parts…JEE Main 2012 (AIEEE)
The coefficients of linear expansions of brass and steel are α₁ and α₂ respectively. When…NEET 1999 (AIPMT)
Mercury thermometer can be used to measure temperature uptoNEET 1992 (AIPMT)
A Centigrade and a Fahrenheit thermometer are dipped in boiling water. The water…NEET 1990 (AIPMT)
The length of mercury column in a mercury-in-glass thermometer is H₁ mm at the ice point…MHT CET 2026 (19 May, Shift 1)

Thermometry & Thermal Expansion question from JEE Main 2016 (9 Apr, Shift 1)

More questions on Thermometry & Thermal Expansion