A train is moving with a speed of $$12\mathrm{m}/\mathrm{s}$$ on rails which are $$1.5\mathrm{m}$$ apart. To negotiate a curve radius $$400\mathrm{m}$$, the height by which the outer rail should be raised with respect to the inner rail is (Given, $$g=10\mathrm{m}/{\mathrm{s}}^2)$$ :

A coin is placed on a disc. The coefficient of friction between the coin and the disc is $$\mu$$. If the distance of the coin from the center of the disc is $$r$$, the maximum angular velocity which can be given to the disc, so that the coin does not slip away, is :

If the radius of curvature of the path of two particles of same mass are in the ratio $$3:4$$, then in order to have constant centripetal force, their velocities will be in the ratio of :

A stone of mass $$900\mathrm{g}$$ is tied to a string and moved in a vertical circle of radius $$1\mathrm{m}$$ making $$10\mathrm{rpm}$$. The tension in the string, when the stone is at the lowest point is (if $${\pi }^2=9.8$$ and $$g=9.8\mathrm{m}/{\mathrm{s}}^2$$) :

A cyclist starts from the point $$P$$ of a circular ground of radius $$2\mathrm{km}$$ and travels along its circumference to the point $$\mathrm{S}$$. The displacement of a cyclist is:

A clock has $$75\mathrm{cm},60\mathrm{cm}$$ long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel $$x$$ distance more than the tip of minute hand. The value of $$x$$ in meter is nearly (Take $$\pi =3.14$$) :

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius $$9\mathrm{m}$$ and completes 120 resolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in $$\mathrm{m}/{\mathrm{s}}^2$$ ) :

A car of $$800\mathrm{kg}$$ is taking turn on a banked road of radius $$300\mathrm{m}$$ and angle of banking $$30^{\circ }$$. If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely: $$(\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2,\sqrt{3}=1.73)$$

To measure the temperature coefficient of resistivity $\alpha$ of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. The experiment is being conducted at $25^{\circ }\mathrm{C}$ and resistance of the semiconductor arm is $3\mathrm{m}\Omega$. Arm $\mathrm{BC}$ is cooled at a constant rate of $2^{\circ }\mathrm{C}/\mathrm{s}$. If the galvanometer $\mathrm{G}$ shows no deflection after $10\mathrm{s}$, then $\alpha$ is :

In the given circuit if the power rating of Zener diode is $10\mathrm{mW}$, the value of series resistance $R_s$ to regulate the input unregulated supply is :

Which of the following circuits is reverse - biased?

The truth table of the given circuit diagram is :

The output of the given circuit diagram is -

Identify the logic operation performed by the given circuit.

In the given circuit, the breakdown voltage of the Zener diode is $$3.0\mathrm{V}$$. What is the value of $${\mathrm{I}}_{\mathrm{z}}$$ ?

The truth table for this given circuit is :

In the given circuit, the voltage across load resistance (R$${}_L$$) is :

A Zener diode of breakdown voltage $$10\mathrm{V}$$ is used as a voltage regulator as shown in the figure. The current through the Zener diode is :

In the truth table of the above circuit the value of X and Y are :

The $$I$$-$$V$$ characteristics of an electronic device shown in the figure. The device is :