Match the following?Column-IColumn-II(a) Rati | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The time period of a simple pendulum is $T = 2\pi \sqrt{\frac{L}{g}}$. The fractional change in time period due to temperature change $\Delta T$ i

Vedclass · Accepted Answer

$(a-iv), (b-iii), (c-ii), (d-i)$

Vedclass · Answer

(D) The time period of a simple pendulum is $T = 2\pi \sqrt{\frac{L}{g}}$. The fractional change in time period due to temperature change $\Delta T$ is $\frac{\Delta T}{T} = \frac{1}{2} \alpha \Delta T$. Thus, $(a) - (iv)$.$(b)$ The ratio of the actual length to the scale reading is given by the factor $(1 + \alpha \Delta T)$ due to thermal expansion of the scale. Thus, $(b) - (iii)$.$(c)$ For an ideal gas at constant pressure, the coefficient of volume expansion $\gamma = \frac{1}{T}$. Therefore, the reciprocal is $T$. Thus, $(c) - (ii)$.$(d)$ From Hooke's Law, $\frac{F}{A} = Y \frac{\Delta L}{L}$, so $\frac{F}{YA} = \frac{\Delta L}{L} = \alpha \Delta T$. Thus, $(d) - (i)$.Combining these, the correct match is $(a-iv), (b-iii), (c-ii), (d-i)$.

Column-$I$	Column-$II$
$(a)$ Ratio of change in time period of a simple pendulum with temperature to its original time period	$(i) \, \alpha \Delta T$
$(b)$ Ratio of the value of a length to its scale reading	$(ii) \, T$
$(c)$ Reciprocal of coefficient of volume expansion for an ideal gas of constant pressure	$(iii) \, (1 + \alpha \Delta T)$
$(d) \, \frac{F}{YA} =$	$(iv) \, \frac{1}{2} \alpha \Delta T$

Similar Questions

It is estimated that each $cm^2$ of Earth receives about $2 \text{ calorie}$ of heat energy per minute from the Sun. This is called the solar constant. The value of the solar constant in $S.I.$ units is:

The quantities which have the same dimensions as those of solid angle are:

The diameter and height of a cylinder are measured by a meter scale to be $12.6 \pm 0.1\, cm$ and $34.2 \pm 0.1\, cm$,respectively. What will be the value of its volume in appropriate significant figures?

The unit of length convenient on the atomic scale is known as an $\mathring{A}$ and is denoted by $\mathring{A}: 1 \mathring{A} = 10^{-10} \, m$. The size of a hydrogen atom is about $0.5 \mathring{A}$. What is the total atomic volume in $m^{3}$ of a mole of hydrogen atoms?

Select the pair from the following that does not have the same dimensions.

Vedclass Test Series

Exam Paper Generator

Online Exam Module