Water falls from a height of `` 60\, m `` at the rate of `` 15\, kg / s `` to operate a turbine. The losses due to frictional force are `` 10 \% `` of the input energy. How much power is generated by the turbine? `` \left(g=10\, m / s ^{2}\right) ``
(A)10.2 kW
(B)8.1 kW
(C)12.3 kW
(D)7.0 kW

A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since:
(A)a large aperture contributes to the quality and visibility of the images.
(B)a large area of the objective ensures better light gathering power.
(C)a large aperture provides a better resolution.
(D)all of the above.

The electron concentration in an `` n `` -type semiconductor is the same as hole concentration in a `` p `` -type semiconductor. An external field (electric) is applied across each of them. Compare the currents in them.
(A)current in n-type = current in p-type
(B)current in p-type > current in n-type
(C)current in n-type > current in p-type
(D)No current will flow in p-type, current will only flow in n-type

A nucleus with mass number `` 240 `` breaks into two a fragments each of mass number `` 120 `` , the binding energy per nucleon of unfragmented nuclei is `` 7.6\, MeV `` while that of fragments is `` 8.5\, MeV `` . The total gain in the Binding Energy in the process is :
(A)0.9 MeV
(B)9.4 MeV
(C)804 MeV
(D)216 MeV

A thick current carrying cable of radius `` 'R' `` carries current `` 'I' `` uniformly distributed across its cross-section. The variation of magnetic field `` B ( r ) `` due to the cable with the distance `` 'r' `` from the axis of the cable is represented by :
(A)

(B)

(C)

(D)

Two charged spherical conductors of radius `` R _{1} `` and `` R _{2} `` are connected by a wire. Then the ratio of surface charge densities of the spheres `` \left(\sigma_{1} / \sigma_{2}\right) `` is
(A) `` \frac{R_{1}}{R_{2}} ``
(B) `` \frac{R_{2}}{R_{1}} ``
(C) `` \sqrt{\left(\frac{ R _{1}}{ R _{2}}\right)} ``
(D) `` \frac{ R _{1}^{2}}{ R _{2}^{2}} ``

If `` E `` and `` G `` respectively denote energy and gravitational constant, then `` \frac{ E }{ G } `` has the dimensions of:
(A) `` \left[ M ^{2}\right]\left[ L ^{-1}\right]\left[ T ^{0}\right] ``
(B) `` [ M ]\left[ L ^{-1}\right]\left[ T ^{-1}\right] ``
(C) `` [ M ]\left[ L ^{0}\right]\left[ T ^{0}\right] ``
(D) `` \left[ M ^{2}\right]\left[ L ^{-2}\right]\left[ T ^{-1}\right] ``

A spring is stretched by `` 5\, cm `` by a force `` 10\, N `` . The time period of the oscillations when a mass of `` 2\, kg `` is suspended by it is :
(A)0.0628 s
(B)6.28 s
(C)3.14 s
(D)0.628 s

Column - I gives certain physical terms associated with flow of current through a metallic conductor. Column - II gives some mathematical relations involving electrical quantities. Match Column - I and Column - II with appropriate relations.

A dipole is placed in an electric field as shown. In which direction will it move ?

(A)towards the left as its potential energy will increase.

Consider the following statements (A) and (B) and identify the correct answer.
(A) A zener diode is connected in reverse bias, when used as a voltage regulator.
(B) The potential barrier of p-n junction lies between `` 0.1\, V `` to `` 0.3\, V `` .
(A)(A) and (B) both are correct
(B)(A) and (B) both are incorrect
(C)(A) is correct and (B) is incorrect
(D)(A) is incorrect but (B) is correct

A screw gauge gives the following readings when used to measure the diameter of a wire
Main scale reading : `` 0\, mm ``
Circular scale reading : `` 52 `` divisions
Given that `` 1\, mm `` on main scale corresponds to `` 100 `` divisions on the circular scale. The diameter of the wire from the above data is :
(A)0.52 cm
(B)0.026 cm
(C)0.26 cm
(D)0.052 cm

An inductor of inductance `` L `` , a capacitor of capacitance `` C `` and a resistor of resistance ' `` R `` ' are connected in series to an ac source of potential difference ' `` V `` ' volts as shown in figure. Potential difference across `` L , C `` and `` R `` is `` 40 V `` , `` 10\, V `` and `` 40 V `` , respectively. The amplitude of current flowing through LCR series circuit is `` 10 \sqrt{2} A `` . The impedance of the circuit is :

(A) `` 4 \sqrt{2} \Omega ``
(B) `` 5 / \sqrt{2} \Omega ``
(C) `` 4\, \Omega ``
(D) `` 5\, \Omega ``

A parallel plate capacitor has a uniform electric field ' `` \vec{ E } `` ' in the space between the plates. If the distance between the plates is `` 'd' `` and the area of each plate is ' `` A `` ', the energy stored in the capacitor is : `` \left(\varepsilon_{0}=\right. `` permittivity of free space)
(A) `` \frac{1}{2} \varepsilon_{0} E ^{2} ``
(B) `` \varepsilon_{0} EAd ``
(C) `` \frac{1}{2} \varepsilon_{0} E ^{2} Ad ``
(D) `` \frac{ E ^{2} Ad }{\varepsilon_{0}} ``

An electromagnetic wave of wavelength ' `` \lambda `` ' is incident on a photosensitive surface of negligible work function. If ' `` m `` ' mass is of photoelectron emitted from the surface has de-Broglie wavelength `` \lambda_{ d } `` , then :
(A) `` \lambda=\left(\frac{2 m }{ hc }\right) \lambda_{ d }{ }^{2} ``
(B) `` \lambda_{ d }=\left(\frac{2 mc }{ h }\right) \lambda^{2} ``
(C) `` \lambda=\left(\frac{2 mc }{ h }\right) \lambda_{ d }{ }^{2} ``
(D) `` \lambda=\left(\frac{2 h }{ mc }\right) \lambda_{ d }{ }^{2} ``