JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
Given below are two statements: One is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A:\) Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one. Reason \(R:\) Capacitance of metallic spheres depend on the radii of spheres. In the light of the above statements, choose the correct answer from the options given below.
- A \(A\) is false but \(R\) is true
- B Both \(A\) and \(R\) are true and \(R\) is the correct explanation of \(A\)
- C \(A\) is true but \(R\) is false
- D Both \(A\) and \(R\) are true but \(R\) is not the correct explanation of \(A\)
Answer & Solution
Correct Answer
(A) \(A\) is false but \(R\) is true
Step-by-step Solution
Detailed explanation
Potential of a conducting sphere is \(V =\frac{ KQ }{ R } \text { (Solid as well as hollow) }\) \(V _1= V _2 \text { and } R _1= R _2\) \(\therefore Q _1= Q _2\)
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 swimmer wants to cross a river from point \(A\) to point \(B\). Line \(A B\) makes an angle of \(30^{\circ}\) with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle \(\theta\) with the line \({AB}\) should be \(^{\circ}\), so that the swimmer reaches point \({B}\).
JEE Mains 2021 Medium - As per the given graph choose the correct representation for curve \(A\) and curve \(B\).Where \(X _{ C }=\) reactance of pure capacitive circuit connected with \(A.C.\) source \(X _{ L }=\) reactance of pure inductive circuit connected with \(A.C.\) source \(R =\) impedance of pure resistive circuit connected with \(A.C.\) source \(Z =\) Impedance of the LCR series circuit \(\}\)
JEE Mains 2023 Medium - Two projectiles are projected at \(30^{\circ}\) and \(60^{\circ}\) with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:JEE Mains 2023 Easy
- A particle is travelling \(4\) times as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to that of electron is \(2: 1,\) the mass of the particle isJEE Mains 2021 Medium
- Two monochromatic light beams of intensity \(16\) and \(9\) units are interfering . The ratio of intensities of bright and dark parts of the resultant pattern isJEE Mains 2014 Hard
- As shown in the figure, the voltmeter reads \(2\,V\) across \(5\,\Omega\) resistor. The resistance of the voltmeter is \(.......\,\Omega\).
JEE Mains 2023 Hard
More PYQs from JEE Mains
- The circumcentre of a triangle lies at the origin and its centroid is the mid point of the line segment joining the points \((a^2 + 1 , a^2 + 1 )\) and \((2a, - 2a)\), \(a \ne 0\). Then for any \(a\) , the orthocentre of this triangle lies on the lineJEE Mains 2014 Hard
- The number of distinct real values of \(\lambda \) on for which the lines \(\frac{{x - 1}}{1} = \frac{{y - 2}}{2} = \frac{{z + 3}}{{{\lambda ^2}}}\) and \(\frac{{x - 3}}{1} = \frac{{y - 2}}{{{\lambda ^2}}} = \frac{{z - 1}}{2}\) are coplanar isJEE Mains 2016 Medium
- A survey shows that \(63 \%\) of the people in a city read newspaper \(A\) whereas \(76 \%\) read newspaper \(B\). If \(x \%\) of the people read both the newspapers, then a possible value of \(x\) can beJEE Mains 2020 Medium
- The equation of a common tangent to the parabolas \(y = x ^{2}\) and \(y =-( x -2)^{2}\) is.JEE Mains 2022 Hard
- Let \(S=\left\{x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right): 9^{1-\tan ^2 x}+9^{\tan ^2 x}=10\right\}\) and \(\beta=\sum_{x \in S} \tan ^2\left(\frac{x}{3}\right)\), then \(\frac{1}{6}(\beta-14)^2\) is equal toJEE Mains 2023 Hard
- The value of unknown resistance \((x)\) for which the potential difference between \(B\) and \(D\) will be zero in the arrangement shown, is _______.
JEE Mains 2024 Hard