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PHYSICSRotational motionMedium

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:

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PHYSICSThermal Properties of MatterMedium

A body cools from a temperature $3T$ to $2T$ in $10\text{ minutes}$. The room temperature is $T$. Assume that Newton's law of cooling is applicable. The temperature of the body at the end of next $10\text{ minutes}$ will be:

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PHYSICSLAWS OF MOTIONEasy

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?

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PHYSICSRotational motionMedium

Two persons of mass $55 \text{ kg}$ and $65 \text{ kg}$ respectively, are at the opposite ends of a boat. The length of the boat is $3.0 \text{ m}$ and weighs $100 \text{ kg}$. The $55 \text{ kg}$ man walks up to the $65 \text{ kg}$ man and sits with him. If the boat is in still water the centre of mass of the system shifts by:

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PHYSICSThermal Properties of MatterMedium

A spherical black body with a radius of $12\text{ cm}$ radiates $450\text{ W}$ power at $500\text{ K}$. If the radius were halved and the temperature doubled, the power radiated in watts would be:

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PHYSICSLAWS OF MOTIONEasy

A man of mass 80 kg is standing in an elevator which is moving with an acceleration of 6 m/s² in the upward direction. The apparent weight of the man will be (g = 10 m/s²):

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PHYSICSLAWS OF MOTIONMedium

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:

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PHYSICSRotational motionEasy

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:

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PHYSICSThermal Properties of MatterMedium

The quantities of heat required to raise the temperature of two solid copper spheres of radii $r_1$ and $r_2$ ($r_1=1.5 r_2$) through $1\text{ K}$ are in the ratio:

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PHYSICSLAWS OF MOTIONMedium

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?

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PHYSICSLAWS OF MOTIONMedium

A ball of mass 0.5 kg moving with a velocity of 2 m/s strikes a wall normally and bounces back with the same speed. If the time of contact between the ball and the wall is one millisecond, the average force exerted by the wall on the ball is:

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PHYSICSRotational motionMedium

A uniform rod of length $200 \text{ cm}$ and mass $500 \text{ g}$ is balanced on a wedge placed at $40 \text{ cm}$ mark. A mass of $2 \text{ kg}$ is suspended from the rod at $20 \text{ cm}$ and another unknown mass $m$ is suspended from the rod at $160 \text{ cm}$ mark as shown in the figure. What would be the value of $m$ such that the rod is in equilibrium? (Take $g=10 \text{ m/s}^2$)

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PHYSICSThermal Properties of MatterEasy

A piece of iron is heated in a flame. It first becomes dull red then becomes reddish yellow and finally turns to white hot. The correct explanation for the above observation is possible by using

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PHYSICSLAWS OF MOTIONEasy

Rocket engines lift a rocket from the earth surface because hot gases with high velocity:

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PHYSICSLAWS OF MOTIONEasy

A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is:

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PHYSICSLAWS OF MOTIONMedium

A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance $r$. The speed of the particle is:

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PhysicsEasy

When a uranium isotope $^{235}_{92}\text{U}$ is bombarded with a neutron, it generates $^{89}_{36}\text{Kr}$, three neutrons and :

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PHYSICSThermal Properties of MatterMedium

The total radiant energy per unit area per unit time, normal to the direction of incidence, received at a distance $R$ from the centre of a star of radius $r$, whose outer surface radiates as a black body at a temperature $T\text{ K}$ is given by (where $\sigma$ is Stefan's constant):

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PHYSICSLAWS OF MOTIONEasy

In an elevator moving vertically up with an acceleration $g$, the force exerted on the floor by a passenger of mass $M$ is:

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PHYSICSThermodynamicsEasy

Thermodynamic processes are indicated in the following diagram. Match the following: **Column-I** (P) Process I (Q) Process II (R) Process III (S) Process IV **Column-II** (a) Adiabatic (b) Isobaric (c) Isochoric (d) Isothermal

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