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 \(1.70 \times 10^{-4} \text{ } ^\circ C^{-1}\))

Light ray travels from an rarer medium to an denser medium. Which of the following is incorrect if \( (0^{\circ} < i < 90^{\circ}) \).

Two sources are producing waves as given in the options below. Which two sources are called coherent ?

What is the shape of a wavefront when light emerging out of a convex lens when a parallel beam of light incident over it ?

Using monochromatic light for diffraction in a single slit of width 0.1 mm, with a central maximum of 5 mm width on a screen 50 cm away, the wavelength of light used is :

Two conducting spheres A and B of radii 'a' and 'b', respectively are charged to have the same electric potential. The ratio of surface charge densities of A and B is

The sensitivity of a potentiometer can be increased by:

Match List-I with List-II

List-I	List-II
(A) The maximum value of \(f(x)=\sin (3 x)+6\)	(I) 2
(B) The maximum value of \(f(x)=-|x+2|+4\)	(II) 5
(C) The maximum value of \(f(x)=(3 x+1)^2+5\)	(III) 7
(D) The maximum value of \(f(x)=2 \cos x+4\)	(IV) 4

Choose the correct answer from the options given below:

A small company manufactures necklaces and bracelets. The combined number of necklaces and bracelets it can handle per day is at the most 24 .A bracelet takes 1 hour to make and a necklace takes half hour to be made.Maximum number of hours available per day is 16 .If the number of necklaces and bracelets made per day is \(x\) and \(y\)
respectively then the time constraint for the L.P.P.is :

Which of the following statements are correct?
(A) According to wave theory, energy carried by a wave depends on the amplitude of the wave, not on the speed of wave propagation
(B) For a given frequency, intensity of light in the photon picture is determined by the number of photons crossing a unit area
(C) At a large distance from the source, a small portion of the spherical wave can be approximated by a plane wave
(D) the reflected and refracted light both have different frequencies than the incident frequency
Choose the correct answer from the options given below:

When a slab of insulating material 4 mm thick is introduced between the plates of a parallel plate capacitor of separation 4 mm, it is found that the distance between the plates has to be increased by 3.2 mm to restore the capacity to its original value. The dielectric constant of the material is :

Alcohol is a depressant, which means that even small amounts of alcohol slow down the actions of parts of the brain, so alcohol lengthens the time you take to respond to a stimulus.
Different people react differently to alcohol. In some people, it increase their feelings of aggression, and releases their inhibitions so that they are more likely to be violent or commit other crimes.
An alcoholic needs to drink quite large quantities of alcohol regularly. This causes many parts of the body to be damaged, because alcohol is poisonous to cells. Probably, there are many factors which decide whether or not a person becomes alcoholic. Over a long period of time, it can cause loss of memory and confusion. One way in which the damage is done is that alcohol in the body fluids draws water out of cells by osmosis.
Continuous intake of alcohol causes _________

Choose the appropriate term for the rate of formation of new organic matter by consumers: