Physics Test - ...

A \(200 V\), \(100 W\) bulb is connected to a 110 V source. Calculate the power consumed by the bulb:

Two unequal masses, \(\mathrm m_1=2 \mathrm m\) and \(\mathrm m_2=\mathrm m\) have unequal positive charge on them. They are suspended by two mass-less threads of unequal lengths from a common point such that, in equilibrium, both the masses are on same horizontal level. The angle between the two strings is \(\theta=45^{\circ}\) in this position. Find the force applied by \(\mathrm m_1\) on \(\mathrm m_2\) in this position.

A liquid drop of radius ' \(R\) ' breaks into 64 tiny drops, each of radius ' \(r\) '. If the surface tension of the liquid is ' \(T\) ', then the gain in energy is:

When the momentum of a proton is changed by an amount \(\Delta\mathrm{p}\), then the corresponding change in the de-Broglie wavelength is found to be 0.20%. The original momentum of the proton was:

At \(27^{\circ}\) C a gas is compressed suddenly such that its pressure becomes \(\frac{1}{8}\) of original pressure. Final temperature will be \(\left( \gamma =\frac{5}{3}\right)\):

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area \(\mathrm{A}\) and the second wire has cross-sectional area \(3 \mathrm{A}\). If the length of the first wire is increased by \(\Delta l\) on applying a force \(\mathrm{F},\) how much force is needed to stretch the socond wire by the same amount?

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment, is

Two block \(\mathrm A\) and \(\mathrm B\) are connected to a spring (force constant \(\mathrm k=480 \mathrm{~N} / \mathrm{m}\) ) and placed on a horizontal surface. Another block \(\mathrm C\) is placed on \(\mathrm B\). The coefficient of friction between the floor and block \(\mathrm A\) is \(\mu_1=0.5\), whereas there is no friction between \(\mathrm B\) and the floor. Coefficient of friction between \(\mathrm C\) and \(\mathrm B\) is \(\mu_2=0.85\). Masses of the blocks are \(\mathrm{ M_A}=50 \mathrm{~kg} ;\mathrm { M_B}=28 \mathrm{~kg}\) and \(\mathrm{ M_C}=2 \mathrm{~kg}\). The system is held at rest with spring compressed by \(\mathrm x_0=0.5\) \(\mathrm m\). After the system is released, find the maximum speed of block B during subsequent motion.

A plane electromagnetic wave of frequency \(500 \mathrm{M} \mathrm{Hz}\) is travelling in vacuum along y-direction. At a particular point in space and time, \(\mathrm{B}=8.0 \times 10^{-8 } \mathrm{\hat{z}T}\). The value of electric field at this point is (speed of light \(=3 \times 10^8 \mathrm{~ms}^{-1} ; \hat{x}, \hat{y}, \hat{z}\) are unit vectors along \(\mathrm{x}, \mathrm{y}\) and \(\mathrm{z}\)-direction).