In producing chlorine by electrolysis 100 kW power at 125 V is being consumed. How much chlorine per minute is liberated (ECE of chlorine is 0.367 x 10^-6 KgC^-1)

• 1.76 x 10^-3 kg

• 9.67 x 10^-3 kg

• 17.61 x 10^-3 kg

• 17.61 x 10^-3 kg

An alpha nucleus of energy mv²/2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to 

• 1/Ze

• v²

• 1/m

• 1/v⁴

43.

The total radiant energy per unit area, normal to the direction of incidence, received at a distance R from the centre of a star of radius r, whose outer surface radiates as a black body at a temperature T K is given by

• σr²T⁴/R²

• σr²T⁴/4πR²

• σr⁴T⁴/r⁴

A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is v, the power delivered to the particle is

• Mv²/T

• Mv² / 2T²

• Mv²/T²

• Mv²/T²

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

• mv³ /2

• mv³

• mv²/2

• mv²/2

At 10^o C the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At 110^o C this ratio is

• x

• 383x/283

• 10x/110

• 10x/110

The kinetic energies of a planet in an elliptical orbit about the Sun, at positions A, B and C are K_A, K_B and K_C, respectively. AC is the major axis and SB is perpendicular to AC at the position of the Sun S as shown in the figure. Then

• K_A < K_B < K_C

• K_A > K_B > K_C

• K_B > K_A > K_C

• K_B < K_A < K_C

A solid sphere is in rolling motion. In rolling motion, a body possesses translational kinetic energy (K_t) as well as rotational kinetic energy (K_r) simultaneously. The ratio Kt: (K_t+ K_r) for the sphere is

• 7:10

• 5:7

• 2:5

• 10:7

A graph between pressure P (along with the y-axis) and absolute temperature, T (along with the x-axis) for equal moles of two gases have been drawn. Given that the volume of the second gas is more than the volume of first gas. Which of the following statement is correct?

• Slope of gas 1 is less than gas 2

• Slope og gas 1 is more than gas 2

• Both have some slopes

• None of the above

 The root mean square velocity of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0C is 3180 m/s. Calculate the pressure of hydrogen gas:$\left(\mathrm{Density} \mathrm{of} \mathrm{hydrogen} \mathrm{gas}=8.99\times {10}^{-2}\raisebox{1ex}{$\mathrm{kg}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{m}}^3$}\right., \mathrm{atmosphere}= 1.01\times {10}^5\raisebox{1ex}{$\mathrm{N}$}\!\left/ \!\raisebox{-1ex}{${\mathrm{m}}^2$}\right.\right)$

• 3.0atm

• 2.0atm

• 1.5atm

• 1.0atm