A projectile is thrown at a speed V and at an angle with the horizontal. If the speed at its maximum height is \(\frac{V}{3}\),then the value of tan θ is:
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)
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:
The angle of minimum deviation for a prism of apex angle 60° and refractive index of \(\sqrt{2}\) is:
Car P is heading east with a speed V and car Q is heading north with a speed \(\sqrt{3}\). What is the velocity of car Q with respect to car P?
An ideal diatomic gas is made up of molecules that do not vibrate. Its volume compressed by a factor of 32,without any exchange of heat. If the initial and final pressures are P1 and P2,respectively,the ratio P1:P2,is:
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)
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)
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?