Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2012Paper 1
Exam
JEE Advanced
Year
2012
Paper
Paper 1
Subject
Physics
Chapter
Laws of Motion

JEE Advanced 2012 · Paper 1 · Physics · Laws of Motion

Two large vertical and parallel metal plates having a separation of...

Two large vertical and parallel metal plates having a separation of 1 cm1 \mathrm{~cm} are connected to a DC voltage source of potential difference XX. A proton is released at rest midway between the two plates. It is found to move at 45∘45^{\circ} to the vertical JUST after release. Then XX is nearlyTwo large vertical and parallel metal plates having a separation of 1 ~cm are connected to a DC voltage source of

Options

  1. A1×10−5 V1 \times 10^{-5} \mathrm{~V}
  2. B1×10−7V1 \times 10^{-7} V
  3. C1×10−9V1 \times 10^{-9} V
  4. D1×10−10V1 \times 10^{-10} V

Correct answer

C. 1×10−9V1 \times 10^{-9} V

Step-by-step solution

According to the question, a proton is released at rest mid-way between the two plates and is found to move at 45∘45^{\circ}, so net force is at 45∘45^{\circ} from vertical and two forces acting on the proton just after the release are as shown in the figure. qE=mgq E=m g Two large vertical and parallel metal plates having a separation of 1 ~cm are connected to a DC voltage source of
∴V=mgdq=1.67×10−27×10×10−21.6×10−19=10−9 V\therefore \quad V=\frac{m g d}{q}=\frac{1.67 \times 10^{-27} \times 10 \times 10^{-2}}{1.6 \times 10^{-19}}=10^{-9} \mathrm{~V}
Practice Laws of Motion on Quantrex Academy →

More from Laws of Motion

A block takes t time to slide down a plane inclined at 45° to the horizontal. If the… JEE Main 2026Two blocks ( P and Q ) with respectively masses 2 kg and 1.5 kg are joined by a massless… JEE Main 2026A mass of 1 kg is kept on an inclined plane with 30° inclination with respect to… JEE Main 2026Three masses m_1 = 4 kg, m_2 = 4 kg and m_3 = 6 kg are suspended from a fixed smooth… JEE Main 2026A wedge Y with mass of 10 kg and all frictionless surfaces and the inclined surface… JEE Main 2026At t=0 , a body of mass 100 g starts moving under the influence of a force (5 i +10 j )… JEE Main 2026The time taken by a block of mass m to slide down from the highest point to the lowest… JEE Main 2026A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m… JEE Main 2026 Full Laws of Motion list All JEE Advanced PYQs