A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as $$T(t) = {T_0}\left( {1 + \beta {t^{{1 \over 4}}}} \right)$$, where $$\beta $$ is a constant with appropriate dimension while T 0 is a constant with dimension of temperature. The heat capacity of the metal is

$${{4P{{(T(t) - {T_0})}^3}} \over {{\beta ^4}T_0^4}}$$

$${{4P{{(T(t) - {T_0})}^4}} \over {{\beta ^4}T_0^5}}$$

$${{4P(T(t) - {T_0})} \over {{\beta ^4}T_0^2}}$$

$${{4P{{(T(t) - {T_0})}^2}} \over {{\beta ^4}T_0^3}}$$

Properties Of Matter — JEE Advanced Previous Year Questions

23 solved PYQs · 2016–2026 · Physics

Solved PYQs: 23
Years covered: 2016–2026
Avg / year: ~2
Subject: Physics

How many JEE Advanced questions come from Properties Of Matter?

Properties Of Matter has contributed 23 questions to Joint Entrance Examination (Advanced) papers between 2016 and 2026 — an average of about 2 questions a year. That count is measured from EByAi’s bank of 18,502 JEE Advanced questions, not estimated from a syllabus. Every one of the 23 questions carries a written, step-by-step solution, and each is tagged to Properties Of Matter within Physics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Properties Of Matter questions from real JEE Advanced papers

This is a real question from the bank — exactly as asked, with the answer one tap away. All 23 Properties Of Matter questions (with full written solutions) are available in practice.

Question 1 · JEE Advanced 2019
A current carrying wire heats a metal rod. The wire provides a constant power (P) to the rod. The metal rod is enclosed in an insulated container. It is observed that the temperature (T) in the metal rod changes with time (t) as $T (t) = T_{0} (1 + β t^{\frac{1}{4}})$ , where $β$ is a constant with appropriate dimension while T 0 is a constant with dimension of temperature. The heat capacity of the metal is
1. (A) $\frac{4 P ( T ( t ) - T _{0} ) ^{4}}{β ^{4} T _{0}^{5}}$
2. (B) $\frac{4 P ( T ( t ) - T _{0} ) ^{3}}{β ^{4} T _{0}^{4}}$
3. (C) $\frac{4 P ( T ( t ) - T _{0} )}{β ^{4} T _{0}^{2}}$
4. (D) $\frac{4 P ( T ( t ) - T _{0} ) ^{2}}{β ^{4} T _{0}^{3}}$
Show answerAnswer
$Answer: (B) \frac{4 P ( T ( t ) - T _{0} ) ^{3}}{β ^{4} T _{0}^{4}}$

Properties Of Matter questions by year

Year	Questions	Share of chapter questions
2026	1
2024	2
2023	1
2022	2
2021	1
2020	6
2019	4
2018	3
2017	2
2016	1

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FAQs

How many JEE Advanced questions have been asked from Properties Of Matter?

EByAi's bank holds 23 real JEE Advanced questions from Properties Of Matter, asked between 2016 and 2026 — about 2 per year on average. Every count is measured from actual papers, not estimated.

Is Properties Of Matter important for JEE Advanced?

23 questions over 10 papers make Properties Of Matter a steady-weightage chapter in JEE Advanced Physics. The year-wise table above shows exactly how often it appears.

Can I solve Properties Of Matter PYQs online for free?

Yes. EByAi lets you solve JEE Advanced past-year questions in the browser with written solutions — free daily practice, no card needed.

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