A radioactive nuclei has a half life of 693s. The activity of one mole of that nuclei sample is:(Avogadro's number=6.023 x1023 and In(2)=0.693)
A glass capillary of radius 0.15 mm is dipped into a liquid of density and surface tension 1600 kg/m3 and 0.12 Nm-1,respectively. The liquid in the capillary rises by a height of 5.0 cm. The contact angle between liquid and glass will be:(Take g=10 ms-2)
The angle of minimum deviation for a prism of apex angle 60° and refractive index of \(\sqrt{2}\) is:
A train consists of an engine and 3 coaches, first coach is closest to the engine, third coach is farthest from engine. The train is moving with a constant acceleration a. The mass of each coach is M. The force exerted by the first coach on the second coach will be:
A horizontal force is exerted on a 20 kg box to slide it up on an inclined plane with an angle of 30°. The frictional force retarding the motion is 80 N. If the box moves with a constant speed, then the magnitude of the force is:(Take g=10 ms-2)
For the hydrogen spectrum,the wavelength in Balmer series is given by \(\frac{1}{λ}\)=R(\(\frac{1}{n_{1}^{2}}\)-\(\frac{1}{n_{2}^{2}}\)) where λ= wavelength and R is Rydberg constant. What are the values of n1 and n2,for the longest wavelength in the Balmer series?
A laser source emits light of wavelength 300nm and has a power of 3.3mW. The average number of photons emitted per second is:(Speed of light-3x108m/s,Plank's constant 6.6 x 10-34J/s)
What is the de Broglie wavelength corresponding to a ball of mass 100 g moving with a speed of 33 m/s? (Plank's constant-6.6 x10-34 J/s)
A car is moving with an initial speed of 5 m/s. A constant braking force is applied and the car is brought to rest in a distance of 10 m. What is the average speed of the car during the deceleration process?
Consider a vector addition \(\vec{P}\)+\(\vec{Q}\)=\(\vec{R}\). If \(\vec{P}\)=|\(\vec{P}\)|\(\hat{i}\),|\(\vec{Q}\)|=10 and\(\vec{R}\)= 3 |\(\vec{P}\)|\(\hat{j}\),then |\(\vec{P}\)| is:
When a vibrating tuning fork moves towards a stationary observer with a speed of 50 m/s, the observer hears a frequency of 350 Hz. The frequency of vibration of the fork is:(Take speed of sound = 350 m/s)
A toroid with 500 turns of wire carries a current of (2\(\pi\)) Ampere. A metal ring inside the toroid provides the core and has susceptibility of 2x10-5. If the magnetization 5x10-2 A/m, then radius of the ring is: