MHT CET · Physics · Electromagnetic Induction
A square loop ABCD is moving with constant velocity ' \(\vec{v}\) ' in a uniform magnetic field ' \(\vec{B}\) ' which is perpendicular to the plane of paper and directed outward. The resistance of coil is ' \(R\) ', then the rate of production of heat energy in the loop is [ L - length of side of loop]
- A \(\frac{B^2 L^2 V}{R}\)
- B \(\frac{B^2 L^2 V^2}{R}\)
- C \(\frac{B^2 \mathrm{LV}^2}{\mathrm{R}}\)
- D \(\frac{\mathrm{BLV}^2}{\mathrm{R}}\)
Answer & Solution
Correct Answer
(B) \(\frac{B^2 L^2 V^2}{R}\)
Step-by-step Solution
Detailed explanation
From motional e.m.f.,
\(\begin{aligned}
& \mathrm{e}_{\max }=\mathrm{BLV} \\
\therefore \quad & \text { Heat produced }=\frac{\mathrm{e}_{\max }}{\mathrm{R}}=\frac{\mathrm{B}^2 \mathrm{~L}^2 \mathrm{~V}^2}{\mathrm{R}}
\end{aligned}\)
\(\begin{aligned}
& \mathrm{e}_{\max }=\mathrm{BLV} \\
\therefore \quad & \text { Heat produced }=\frac{\mathrm{e}_{\max }}{\mathrm{R}}=\frac{\mathrm{B}^2 \mathrm{~L}^2 \mathrm{~V}^2}{\mathrm{R}}
\end{aligned}\)
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
- A simple wave motion is represented by . Its amplitude isMHT CET 2017 Easy
- The equation of the wave is \(\mathrm{Y}=10 \sin \left(\frac{2 \pi \mathrm{t}}{30}+\alpha\right)\) If the displacement is \(5 \mathrm{~cm}\) at \(\mathrm{t}=0\) then the total phase at \(\mathrm{t}=7.5 \mathrm{~s}\) will be \(\left(\sin 30^{\circ}=0.5\right)\)MHT CET 2023 Medium
- With what velocity an observer should move relative to a stationary source so that a sound of triple the frequency of source is heard by an observer?MHT CET 2024 Easy
- Photoelectrons are emitted when photons of energy \(4.2 \mathrm{eV}\) are incident on a photosensitive metallic sphere of radius \(10 \mathrm{~cm}\) and work function \(2.4 \mathrm{eV}\). The number of photoelectrons emitted before the emission is stopped is
\(
\left[\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \text { SI unit; } \mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\right]
\)MHT CET 2021 Medium - A clock pendulum having coefficient of linear expansion, has a period of at If the clock is used in a climate where the temperature is how much time does the clock lose in each oscillation?MHT CET 2019 Easy
- Two wires \(A\) and \(B\) are of the same materials. Their lengths are in the ratio \(1: 2\) and diameters are in the ratio \(2: 1 .\) When stretched by force \(F_{A}\) and \(F_{R}\) respectively they get equal increase in their lengths. Then the ratio \(F_{A} / F_{B}\) should beMHT CET 2011 Hard
More PYQs from MHT CET
- A metal rod having coefficient of linear expansion \(2 \times 10^{-5} /{ }^{\circ} \mathrm{C}\) is 0.75 m long at \(45^{\circ} \mathrm{C}\). When the temperature rises to \(65^{\circ} \mathrm{C}\), the increase in length of the rod will beMHT CET 2024 Easy
- For the reaction,
\(\mathrm{CH}_3 \mathrm{Br}_{(\mathrm{aq})}+\mathrm{OH}_{(\mathrm{aq})}^{-} \longrightarrow \mathrm{CH}_3 \mathrm{OH}_{(\mathrm{aq})}+\mathrm{Br}_{(\mathrm{aq})}^{-}\)
rate of consumption of \(\mathrm{OH}_{(\mathrm{aq})}^{-}\)is \(\mathrm{x} \mathrm{mol} \mathrm{dm}{ }^{-3} \mathrm{~s}^{-1}\) What is the rate of formation of \(\mathrm{Br}_{(\mathrm{aq})}^{-}\)?MHT CET 2024 Easy - If are the angle of thenMHT CET 2018 Easy
- In compound microscope, the focal length and aperture of the objective used is respectivelyMHT CET 2018 Easy
- If a unit charge is taken from one point to another point over an equipotential surface, thenMHT CET 2024 Easy
- A parallel beam of monochromatic light of wavelength \(5 \times 10^{-7} \mathrm{~m}\) is incident
normally on a single narrow slit of width \(10^{-3} \mathrm{~mm}\). At what angle of diffraction,
the first minima is observed?MHT CET 2020 Easy