The resistance of the platinum wire of a platinum resistance thermometer at the ice point is 5 \(\Omega\) and at steam point, it is 5.23 \(\Omega\). When the thermometer is inserted in a hot bath, the resistance of the platinum wire becomes 5.795 \(\Omega\). Find the temperature of the bath.

In the given figure, a diode D is connected to an external resistance R = 100 \( \Omega \) and an emf of 2.5 V. During forward bias, if the barrier potential developed across the diode is 0.6 V, the current in the circuit will be

A point source of light is placed at a distance twice the focal length of a converging lens. If the focal length of the lens is f, the intensity of the image of light source on the other side of the lens will be maximum at

The electric potential at a point in an electric field is \( 8 \times 10^4 \text{ V} \). The work done to bring a point charge \( 5 \times 10^{-9} \text{ C} \) from infinity to this point is:

Two wires A and B of the same material and same mass have radii 2r and r, respectively. If the resistance of wire A is \( 4 \, \Omega \), then resistance of B will be

On an optical bench of 150 cm, a student used a concave mirror of focal length 20 cm to observe object distance (u) and image distance (v) respectively as :
(A) (40 cm, 10 cm)
(B) (60 cm, 15 cm)
(C) (80 cm, 38 cm)
(D) (60 cm, 30 cm)
(E) (40 cm, 40 cm)

At room temperature (\(25.0^\circ C\)) the resistance of a heating element is \(100 \Omega\). The temperature of the element at which resistance becomes \(125.5 \Omega\) is : (Given that the temperature coefficient of the material of the resistor is \(1.70 \times 10^{-4} \text{ } ^\circ C^{-1}\))

Match List I with List - II.

List - I	List - II
(A) X-rays	(I) Excitation of Atom
(B) UV rays	(II) Oscillating current
(C) y-rays	(III) Sudden retardation of high energy electron
(D) Radiowaves	(IV) Nuclear origin

A gaussian surface encloses three point charges \( q_1 = -14 \text{ nC}, q_2 = 78.85 \text{ nC} \) and \( q_3 = -56 \text{ nC} \). The electric flux for the gaussian surface due to these charges is

The boiling point elevation constant \(K_b\) is also known as:

Identify the order of reaction if its rate constant is \(k = 2 \times 1 0 ^{- 2 } s ^{- 1 }\) :

The area bounded by the curve \(y=2 x-x^2\) and the straight line \(y=-x\) is :

Identify the incorrect statement(s) among the following:
(A) Two electric field lines of force never intersect.
(B) Two opposite charges, each of \( 10 \times 10^{-9} \, \text{C} \), separated by 5 mm. The magnitude of the dipole moment is \( 5 \times 10^{-11} \, \text{C-m} \).
(C) Electric field intensity due to a single charge varies as the square of the distance from the charge, whereas electric field intensity due to an electric dipole varies inversely as the cube of the distance of the point.
(D) Electric field intensity due to an electric dipole has spherical symmetry around it in space.
Choose the correct answer from the options given below: