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Two point charges $q_A = 3 \, \mu\text{C}$ and $q_B = -3 \, \mu\text{C}$ are located $20 \, \text{cm}$ apart in a vacuum. The electric field at the midpoint $O$ of the line $AB$ joining the two charges is:
The products formed when Aniline reacts with $Br_2$ water, and $NaNO_2/HCl$ will be, respectively:
When two surfaces are coated with a lubricant, then they:
A rod of weight $w$ is supported by two parallel knife edges A and B and is in equilibrium in a horizontal position. The knives are at a distance $d$ from each other. The centre of mass of the rod is at distance $x$ from A. The normal reaction on A is:
Two objects of mass $10 \text{ kg}$ and $20 \text{ kg}$ respectively are connected to the two ends of a rigid rod of length $10 \text{ m}$ with negligible mass. The distance of the center of mass of the system from the $10 \text{ kg}$ mass is:
A block of mass $m$ is in contact with the cart $C$ as shown in the figure. The coefficient of static friction between the block and the cart is $\mu$. The acceleration $a$ of the cart that will prevent the block from falling satisfies:
At the first minimum adjacent to the central maximum of a single slit diffraction pattern, the phase difference between the Huygen's wavelet from the edge of the slit and the wavelet from the midpoint of the slit is
The most reactive compound among the following toward electrophilic aromatic substitution reaction is:
The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centered at the origin of the field will be given by:
Consider a car moving along a straight horizontal road with a speed of 72 km/h. If the coefficient of kinetic friction between the tyres and the road is 0.5, the shortest distance in which the car can be stopped is (g = 10 m/s²):
A major breakthrough in the studies of cells came with the development of an electron microscope. This is because:
The efficiency of a fuel cell is given by:
A carnot engine having an efficiency of $\frac{1}{10}$ as a heat engine, is used as a refrigerator. If the work done on the system is $10\text{ J}$, the amount of energy absorbed from the reservoir at lower temperature is:
A monkey of mass $20 \text{ kg}$ is holding a vertical rope. The rope will not break when a mass of $25 \text{ kg}$ is suspended from it but will break if the mass exceeds $25 \text{ kg}$. What is the maximum acceleration with which the monkey can climb up along the rope ($g = 10 \text{ m/s}^2$)?
The average force necessary to stop a bullet of mass 20 g moving with a speed of 250 m/s, as it penetrates into the wood for a distance of 12 cm is:
Rocket engines lift a rocket from the earth surface because hot gases with high velocity:
Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at $100^{\circ}\text{C}$, while the other one is at $0^{\circ}\text{C}$. If the two bodies are brought into contact, then assuming no heat loss, the final common temperature is -
A force vector applied on a mass is represented as $\vec{F} = 6\hat{i} - 8\hat{j} + 10\hat{k}$ and accelerates with $1 \text{ m/s}^2$. What will be the mass of the body?
A satellite in force-free space sweeps stationary interplanetary dust at a rate dM/dt = αv, where M is the mass, v is the velocity of the satellite, and α is a constant. What is the deceleration of the satellite?
The value of Planck's constant is