Recent questions in 2005

The change in the value of $g$ at a height $h$ above the surface of the earth is the same as at a depth $d$ below the surface of earth. When both $d$ and $h$ are much smaller than the radius of earth, then which one of the following is correct ?

asked Nov 5, 2018 by pady_1

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A $T$ shaped object with dimensions shown in figure, is lying on a smooth floor. A force $\overrightarrow{F}$ is applied at the point $P$ parallel to $AB$ , such that the object has only the translational motion without rotation. Find the location of $P$ with respect to $C$ : <br>

asked Nov 5, 2018 by pady_1

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Which of the following is incorrect regarding the first law of thermodynamics ?

asked Nov 5, 2018 by pady_1

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Consider a car moving on a straight road with a speed of 100 m/s. The distance at which car can be stopped , is : $[\mu_k = 0.5]$

asked Nov 5, 2018 by pady_1

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A body of mass m is accelerated uniform from rest to a speed $\nu$ in a time $T$ . The instantaneous power delivered to the body as a function of time, is given by :

asked Nov 5, 2018 by pady_1

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Average density of the earth :

asked Nov 5, 2018 by pady_1

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If $S$ is stress and $Y$ is Young's modulus of material of a wire, the energy stored in the wire per unit volume is :

asked Nov 5, 2018 by pady_1

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A 20 cm long capillary tube is dipped in water. The water rises upto 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be :

asked Nov 5, 2018 by pady_1

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A mass m moves with a velocity $\nu$ and collides inelastically with another identical mass. After collision the $I^{st}$ mass moves with velocity $\frac{\nu}{\sqrt{3}}$ in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision :

asked Nov 5, 2018 by pady_1

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The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant $k$ and compresses it by length $L$ . The maximum momentum of the block after collision is : <br>

asked Nov 5, 2018 by pady_1

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A particle of mass $0.3 \;kg$ is subjected to a force $F = -kx$ with $k = 15\; N/m$ . What will be its initial acceleration, if it is released from a point 20 cm away from the origin ?

asked Nov 5, 2018 by pady_1

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The moment of inertia of uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is :

asked Nov 5, 2018 by pady_1

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A body A of mass M while falling vertically downwards under gravity breaks into two parts; a body B of mass $\frac{1}{3} M$ and, a body C of mass $\frac{2}{3}M$ . The centre of mass of body B and C taken together shifts compared to that of body A towards :

asked Nov 5, 2018 by pady_1

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A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is :

asked Nov 5, 2018 by pady_1

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A block is kept on a frictionless inclined surface with angle of inclination $\propto$ . The incline is given an acceleration $a$ to keep the block stationary. Then $a$ is equal to : <br>

asked Nov 5, 2018 by pady_1

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A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at $2\;m/s^2$ . he reaches the ground with a speed of $3 \; m/s$ . At what height, did he bail out ?

asked Nov 5, 2018 by pady_1

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A particle is moving eastwards with a velocity of $5\; ms^{-1}$ . In $10 \;s$ the velocity changes to $5\;ms^{-1}$ northwardas. The average acceleration in this time is:

asked Nov 5, 2018 by pady_1

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A car starting from rest, accelerates at the rate $f$ through a distance $S$ , then continues at constant speed for time $t$ and then decelerates at the rate $f/2$ to come to rest. If the total distance travelled is $15 \;S$ , then :

asked Nov 5, 2018 by pady_1

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The relation between time $t$ and distance $x$ is $t=ax^2+bx$ , where $a$ and $b$ are constants. The acceleration is :

asked Nov 5, 2018 by pady_1

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Out of the following pairs, which one does not have identical dimensions ?

asked Nov 5, 2018 by pady_1

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A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest, assuming that it faces constant resistance to motion ?

asked Nov 5, 2018 by pady_1

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The upper half of an inclined plane with inclination $\phi$ is perfectly smooth, while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom, if the coefficient of friction for the lower half is given by :

asked Nov 5, 2018 by pady_1

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A smooth block is released at rest on a $45^{\circ}$ incline and then slides a distance $d$ . The time taken to slide is $n$ times as much to slide on rough inclined than on a smooth incline. The coefficient of friction is :

asked Nov 5, 2018 by pady_1

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An annular ring with inner and outer radii $R_1$ and $R_2$ is rolling without slipping with a uniform angular seed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, $\frac{F_1}{F_2}$ is :

asked Nov 5, 2018 by pady_1

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A projectile can have the same range R for two angles of projection. If $t_1$ and $t_2$ be the times of flights in the two cases, then the product of the two times of flights is proportional to :

asked Nov 5, 2018 by pady_1

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