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Figure shows a 11.7ft wide ditch with the approach roads at an angle of 15° with the horizontal. With what minimum speed should a motorbike be moving on the road so that it safely crosses the ditch?
Assume that the length of the bike is 5ft, and it leaves the road when the front part runs out of the approach road.
Assume that the length of the bike is 5ft, and it leaves the road when the front part runs out of the approach road.
A river 400m wide is flowing at a rate of 2.0m/s. A boat is sailing at a velocity of 10m/s with respect to the water, in a direction perpendicular to the river.
- Find the time taken by the boat to reach the opposite bank.
- How far from the point directly opposite to the starting point does the boat reach the opposite bank?
In a photoelectric experiment, the collector plate is at 2.0V with respect to the emitter plate made of copper ($\phi$ - 4.5eV). The emitter is illuminated by a source of monochromatic light of wavelength 200 run. Find the minimum and maximum kinetic energy of the photoelectrons reaching the collector.
→The focal lengths of a convex lens for red, yellow and violet rays are 100cm, 98cm and 96cm respectively. Find the dispersive power of the material of the lens.
When charcoal is prepared from a living tree, it shows a disintegration rate of 15.3 disintegrations of 14C per gram per minute. A sample from an ancient piece of charcoal shows 14C activity to be 12.3 disintegrations per gram per minute. How old is this sample? Half-life of 14C is 5730y.
How much is the minimum energy of electron of excited hydrogen atom so that three spectral lines of hydrogen spectrum could be obtained?
Answer the following:
- Why are the connections between the resistors in a meter bridge made of thick copper strips?
- Why is it generally preferred to obtain the balance point in the middle of the meter bridge wire?
- Which material is used for the meter bridge wire and why?
Suppose, one wishes to construct a 1.0 farad capacitor using circular discs. If the separation between the discs be kept at 1.0mm, what would be the radius of the discs?
Derive an expression for the electric field intensity at a point on the equatorial line of an electric dipole of dipole moment $\overrightarrow{\text{P}}$and length 2a. What is the direction of this field?
→A uniform magnetic field of magnitude 0.20T exists in space from east to west. With what speed should a particle of mass 0.010g and with charge 1.0 × 10-5C be projected from south to north so that it moves with uniform velocity?