Which of the curves in figure represents the relation between Celsius and Fahrenheit temperatures

The area of circle centred at (1, 2) and passing through (4, 6) is

The area of a circle is the space occupied by the circle in a two-dimensional plane. Area of circle = πr² (π = 22/7).

Three rods of same dimensions are arranged as shown in figure. They have thermal conductivities and . The points and are maintained at different temperatures for the heat to flow at the same rate along and then which of the following options is correct

In the following diagram if then 

The maximum kinetic energy (E_k ) of emitted photoelectrons against frequency v of incident radiation is plotted as shown in fig The slope of the graph is equal to

In centre of the triangle formed by the lines y = x, y = 3x and y = 8 ­– 3x is

A lamp rated at 100 cd hangs over the middle of a round table with diameter 3 m at a height of 2 m. It is replaced by a lamp of 25 cd and the distance to the table is changed so that the illumination at the centre of the table remains as before. The illumination at edge of the table becomes X times the original. Then X is

Five lumen/watt is the luminous efficiency of a lamp and its luminous intensity is 35 candela. The power of the lamp is

Lux is equal to

A 60 watt bulb is hung over the center of a table at a height of 3 m. The ratio of the intensities of illumination at a point on the centre of the edge and on the corner of the table is

If f(x) is a polynomial of degree five with leading coefficient one such that  f(1)=1²,f(2)=2²,f(3)=3²,f(4)=4²,f(5)=5² then

If f(x) = ax²+ bx + c such that f(p) + f(q) = 0 where a0 ; p , qR then number of real roots of equation f(x) = 0in interval [p, q] is

If f(x) is a differentiable function satisfying f(x+ y)= f(x)f(y)  x, y  R and f'(0)=2 then f(x)=

Maximum kinetic energy (E_k ) of a photoelectron varies with the frequency ( v ) of the incident radiation as

The degree of the differential equation satisfying  is

If  then the solution of the equation is :