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Two masses of $5 \text{ kg}$ and $10 \text{ kg}$ are connected to a pulley as shown. What will be the acceleration of the system? ($g$ = acceleration due to gravity)
In a circuit shown in the figure, the heat produced in the 3 Ω resistance due to a current flowing in it is 12 J. The heat produced in the 4 Ω resistor is:
The V-I graph for a conductor at temperatures $T_1$ and $T_2$ are as shown in the figure. The term $(T_2 - T_1)$ is proportional to:
The dependence of the short wavelength limit $\lambda_{min}$ on the accelerating potential $V$ is represented by the curve of figure:
Calculate the acceleration of the block and trolley system shown in the figure. The coefficient of kinetic friction between the trolley and the surface is $0.05$. (Take $g=10 \text{ m/s}^2$, the mass of the string is negligible and no other friction exists). [Note: Based on the answer, the mass of the hanging block is $2 \text{ kg}$ and the mass of the trolley is $10 \text{ kg}$].
A silver wire has a resistance of 2.1 Ω at 27.5°C, and a resistance of 2.7 Ω at 100°C. The temperature coefficient of resistivity of silver is:
In a meter bridge experiment, the null point is at a distance of 30 cm from A. If a resistance of 16 Ω is connected in parallel with resistance Y, the null point occurs at 50 cm from A. The value of the resistance Y is:
A long solenoid of diameter $0.1 \text{ m}$ has $2 \times 10^4$ turns per meter. At the centre of the solenoid, a coil of 100 turns and radius $0.01 \text{ m}$ is placed with its axis coinciding with the solenoid's axis. The current in the solenoid reduces at a constant rate to $0 \text{ A}$ from $4 \text{ A}$ in $0.05 \text{ s}$. If the resistance of the coil is $10\pi^2 \Omega$, the total charge flowing through the coil during this time is:
Two parallel metal plates having charges +Q and -Q faces each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will
A block of mass $2 \text{ kg}$ is placed on an inclined rough surface $AC$ (as shown in the figure) of coefficient of friction $\mu$. If $g=10 \text{ m s}^{-2}$, the net force (in N) on the block will be:
The energy equivalent of 0.5 g of a substance is :
An electron enters an electric field with its velocity in the direction of the electric lines of force. Then:
In a potentiometer arrangement, a cell of emf 1.25 V gives a balance point at 35.0 cm length of the wire. If the cell is replaced by another cell and the balance point shifts to 63.0 cm, then the emf of the second cell is:
A certain metallic surface is illuminated with monochromatic light of wavelength $\lambda$. The stopping potential for photoelectric current for this light is $3V_0$. If the same surface is illuminated with light of wavelength $2\lambda$, the stopping potential is $V_0$. The photoelectric effect's threshold wavelength for this surface is?
A capacitor of $2 \mu\text{F}$ is charged as shown in the figure. When the switch S is turned to position 2, the percentage of its stored energy dissipated is:
A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:
The number density of free electrons in a copper conductor is $8.5 \times 10^{28} \text{ m}^{-3}$. How long does an electron take to drift from one end of a wire $3.0 \text{ m}$ long to its other end? (The area of cross-section of the wire is $2.0 \times 10^{-6} \text{ m}^2$ and it is carrying a current of $3.0 \text{ A}$).
In the Wheatstone's bridge shown, P = 2 Ω, Q = 3 Ω, R = 6 Ω and S = 8 Ω. In order to obtain balance, shunt resistance across 'S' must be [SCRA 1998]
A cycle wheel of radius $0.5 \text{ m}$ is rotated with a constant angular velocity of $10 \text{ rad/s}$ in a region of a magnetic field of $0.1 \text{ T}$ which is perpendicular to the plane of the wheel. The EMF generated between its centre and the rim is:
A horizontal force $10 \text{ N}$ is applied to a block A as shown in figure. The mass of blocks A and B are $2 \text{ kg}$ and $3 \text{ kg}$, respectively. The blocks slide over a frictionless surface. The force exerted by block A on block B is: