Browse and search thousands of solved questions for your preparation.
Free questions with full explanations — locked behind signup to protect quality.
The variation of electrostatic potential with radial distance $r$ from the centre of a positively charged metallic thin shell of radius $R$ is given by the graph:
A monochromatic light of frequency 500 THz is incident on the slits of Young's double slit experiment. If the distance between the slits is 0.2 mm and the screen is placed at a distance 1 m from the slits, the width of 10 fringes will be:
Which one has the dimensions different from the remaining three?
An electron is accelerated through a potential difference of 10,000 V. Its de Broglie wavelength is, (nearly) : ($m_e = 9 \times 10^{-31}$ kg)
The units of angular momentum are:
Given below are two statements: Assertion (A): A glass tube partially filled with water represents an open organ pipe. Reason (R): The open end corresponds to an antinode and the end in contact with water, to a node. In the light of the above statements, choose the correct answer from the options given below:
The value of Planck's constant is
Dimensional formula of capacitance is:
A man drops a ball downwards from the roof of a tower of height $400 \text{ m}$. At the same time, another ball is thrown upwards with a velocity $50 \text{ m/s}$ from the surface of the tower. They will meet at which height from the surface of the tower?
The force $F$ on a sphere of radius ‘$a$’ moving in a medium with velocity ‘$v$’ is given by $F = 6\pi\eta av$. The dimensions of $\eta$ are:
Four point charges -Q, -q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero, is
Which one of the following does not have the same dimensions?
A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m²), the energy (joule) stored in the condenser is:
Four electric charges +q, +q, -q and -q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, mid-way between the two charges +q and +q, is
Which of the following represents a volt?
Tesla is a unit for measuring:
A series combination of n₁ capacitors, each of value C₁, is charged by a source of potential difference 4V. When another parallel combination of n₂ capacitors, each of value C₂, is charged by a source of potential difference V, it has the same (total) energy stored in it as the first combination has. The value of C₂ in terms of C₁ is:
Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC equal to 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is:
The main scale of a vernier calliper has $n$ divisions/cm. $n$ divisions of the vernier scale coincide with $(n-1)$ divisions of the main scale. The least count of the vernier calliper is:
Dimensional formula for torque is: