JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
A geyser heats water flowing at a rate of \(2.0 kg\) per minute from \(30^{\circ} C\) to \(70^{\circ} C\). If geyser operates on a gas burner, the rate of combustion of fuel will be \(\dots \; g \min ^{-1}\) [Heat of combustion \(=8 \times 10^{3} Jg ^{-1}\) Specific heat of water \(=4.2 Jg ^{-1} \; { }^{\circ} C ^{-1}\) ]
- A \(32\)
- B \(42\)
- C \(52\)
- D \(62\)
Answer & Solution
Correct Answer
(B) \(42\)
Step-by-step Solution
Detailed explanation
\(m =2000 \; gm / min\) Heat required by \(water / min = mS \Delta T\) \(=(2000) \times 4.2 \times 40 \; J / min\) \(=336000 \; J / min\) The rate of combustion \(=\left(\frac{ dm }{ dt } L \right)=336000 \; J / min\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The refractive index of a prism with apex angle \(A\) is \(\cot A / 2\). The angle of minimum deviation is _______.JEE Mains 2024 Hard
- A square loop of side \(2.0\,cm\) is placed inside a long solenoid that has \(50\) turns per centimetre and carries a sinusoidally varying current of amplitude \(2.5\,A\) and angular frequency \(700\,rad\,s ^{-1}\). The central axes of the loop and solenoid coincide. The amplitude of the emf induced in the loop is \(x \times 10^{-4} V\). The value of \(x\) is \(.........\)(Take, \(\pi=\frac{22}{7}\))JEE Mains 2023 Hard
- The equation of a wave travelling on a string is \(\mathrm{y}=\sin [20 \pi \mathrm{x}+10 \pi \mathrm{t}]\), where x and t are distance and time in SI units. The minimum distance between two points having the same oscillating speed is :JEE Mains 2025 Easy
- Consider the combination of \(2\) capacitors \(C _{1}\) and \(C _{2},\) with \(C _{2}> C _{1},\) when connected in parallel, the equivalent capacitance is \(\frac{15}{4}\) time the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors, \(\frac{ C _{2}}{ C _{1}}\)JEE Mains 2021 Hard
- Two charged conducting spheres \(S_1\) and \(S_2\) of radii \(8\) cm and \(18\) cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on \(S_1\) and \(S_2\) spheres are \(E_{S_1}\) and \(E_{S_2}\) respectively. The value of \(\dfrac{E_{S_1}}{E_{S_2}}\) is _______.JEE Mains 2026 Medium
- At an angle of \(30^{\circ}\) to the magnetic meridian, the apparent dip is \(45^{\circ} .\) Find the true dip :JEE Mains 2021 Medium
More PYQs from JEE Mains
- The de-Broglie wavelength of a particle having kinetic energy \(E\) is \(\lambda\). How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to \(75 \,\%\) of the initial value ?JEE Mains 2021 Hard
- Let \(\mathrm{P}\) be a plane passing through the points \((1,0,1),(1,-2,1)\) and \((0,1,-2)\). Let a vector \(\vec{a}=\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k}\) be such that \(\vec{a}\) is parallel to the plane \(P\), perpendicular to \((\hat{i}+2 \hat{j}+3 \hat{k})\) and \(\overrightarrow{\mathrm{a}} \cdot(\hat{\mathrm{i}}+\hat{\mathrm{j}}+2 \hat{\mathrm{k}})=2\), then \((\alpha-\beta+\gamma)^{2}\) equals \(....\)JEE Mains 2021 Hard
- The moment of inertia of a uniform cylinder of length \(l\) and radius \(R\) about its perpendicular bisector is \(I\). What is the ratio \(l/R\) such that the moment of inertia is minimum?JEE Mains 2017 Hard
- Let \(y=x\) be the equation of a chord of the circle \(C_{1}\) (in the closed half-plane \(x\ge0)\) of diameter 10 passing through the origin. Let \(C_{2}\) be another circle described on the given chord as its diameter. If the equation of the chord of the circle \(C_{2}\), which passes through the point (2, 3) and is farthest from the center of \(C_{2}\), is \(x+ay+b=0,\) then \(a-b\) is equal to:JEE Mains 2026 Easy
- The resultant of these forces \(\overrightarrow{O P}, \overrightarrow{O Q}, \overrightarrow{O R}, \overrightarrow{O S}\) and \(\overrightarrow{{OT}}\) is approximately \(\ldots \ldots {N}\). [Take \(\sqrt{3}=1.7, \sqrt{2}=1.4\) Given \(\hat{{i}}\) and \(\hat{{j}}\) unit vectors along \({x}, {y}\) axis \(]\)
JEE Mains 2021 Medium - A tangent is drawn to the parabola \(y^{2}=6 x\) which is perpendicular to the line \(2 x + y =1\) Which of the following points does \(NOT\) lie on it ?JEE Mains 2021 Medium