List of top Physics Questions asked in MHT CET

The ends of the stretched wire of length L are fixed at \(x=0\) and \(x=L\). In one experiment, the displacement of the wire is \(y_{1}=A\sin \left(\frac{\pi x}{L}\right)\) and energy is \(E_{1}\). In another experiment, its displacement is \(y_{2}=A\sin \left(\frac{2\pi x}{L}\right)\) and energy is \(E_{2}\). Then.

A body of mass \(1\) kg is performing linear SHM. Its displacement \(x\)(cm) at \(t\)(s) is given by \(x=6\,\sin \left(100t+\frac{\pi }{4}\right)\). Maximum kinetic energy of the body is

Particle performs simple harmonic motion with amplitude A. Its speed is tripled at the instant that is at a distance \(\frac{2A}{3}\) from the equilibrium position. The new amplitude of the motion is

A bob of a simple pendulum has a speed of \(3\) m/s at its lowest position. The pendulum is \(0.5\) m long. The speed of the bob, when the length makes an angle of \((60)^{\circ }\) with the vertical, is
(Take \(g=10\) m/s\({}^{2}\), \(\cos 60^{\circ }=1/2\))

Statement I- The kinetic energy per molecule of the gas is equal to \(\frac{3}{2}k_{B}T\).
\(\{k_{B}\) = Boltzmann constant, T = absolute temperature of the gas\(\}\)
Statement II- For the ideal gas with total energy E, the product \(PV=\left(\frac{3}{2}\right)E\)
\(\{\)P = pressure of the gas and V = volume of the gas\(\}\)

According to law of equi-partition of energy the molar specific heat of a rigid diatomic gas at constant pressure is

Four harmonics of equal frequencies and equal intensities \(I_{0}\) have phase angles \(0,\frac{\pi }{3},\frac{2\pi }{3},\pi\). When they are superimposed, the intensity of the resultant wave is "\(nI_{0}\)". The value of n is
(all phase angles are in radian and \(\cos (60)^{\circ }=\frac{1}{2}\))

If the temperature of \(5\) kg mass of a material of a specific heat capacity \(200\) J/kg \({}^{\circ }\)C rises from the \(30^{\circ }\)C to \(40^{\circ }\)C. The heat received is

Two capillary tubes of radii \(r_{1}=0.3\) cm and \(r_{2}=0.6\) cm are dipped in the same liquid. The ratio of heights through which the liquid will rise in the tubes \(\left(\frac{h_{1}}{h_{2}}\right)\) is

Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the maximum radius of the drop for this to be possible? The surface tension is T, density of liquid is \(\rho\) and L is its latent heat of vaporization. \(\{\)heat required in evaporation \(=L(dm)\), \(dm\) = mass of the liquid evaporated\(\}\)

A rigid diatomic ideal gas is compressed adiabatically to \((1/32)\) of its initial volume. If the initial temperature of the gas is \(T_{1}\) (in kelvin) and the final temperature is "\(nT_{1}\)", the value of n is \(\{\gamma =1.4\}\)

Three very large plates of same area are kept parallel (in vertical plane) and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first and third plates are maintained at temperatures \(2T\) and \(3T\) respectively. The temperature of the middle (i. e. second) plate under steady state condition is

The escape velocity of a body on the earth's surface is \(v_{e}\). A body is thrown with a speed of \(\sqrt{6}v_{e}\). Assume that the sun and the planets do not influence the motion of the body, the velocity of a body at infinite distance is \(v_{\infty }\). The value of \(\frac{v_{\infty }}{v_{e}}\) is

A string of length 'L' fixed at one end carries a mass 'm' at the other end. The string makes \(\frac{3}{2\pi }\) revolutions per second around the vertical axis through fixed end. The tension in the string is

Which of the following statements is NOT TRUE about pseudo forces?
Pseudo forces
a. not accountable as per Newton's laws of motion in the inertial frame.
b. not among any of the four fundamental forces.
c. are imaginary.
d. are measurable.

If \(\vec{r}\) is a position vector of the body and \(\vec{p}\) is linear momentum, \(\vec{r}=2\hat{i}+3\hat{j}-3\hat{k}\) and \(\vec{p}=2\hat{i}+4\hat{j}-5\hat{k}\).
The angular momentum of the body is

A child is standing with folded hands at the centre of a platform rotating about its central axis. The kinetic energy of a system is K. The child now stretches his arms so that the moment of inertia of the system doubles. The kinetic energy of the system now is

A rod has mass \((4\pm 0.01)\) kg, radius \((2\pm 0.02)\) cm and length \((50\pm 0.05)\) cm. The maximum percentage error in the measurement of density is

The initial velocity of an object is \(\vec{u}=3\hat{i}+2\hat{j}\) m/s. Its constant acceleration is \(\vec{a}=5\hat{i}+3\hat{j}\) m/s\({}^{2}\). The magnitude of the final velocity after \(5\) s is

Current through a reverse biased p-n junction, increases abruptly at

A radio isotope X with a half life \(1.4\times 10^{8}\) year, decays to Y, which is stable. A sample of rock from a cave was found to contain X and Y in the ratio \(1:7\). The age of rock (in year) is

In a given reaction,
\({}_{Z}^{A}X\rightarrow {}_{Z+1}^{A}Y\rightarrow {}_{Z-1}^{A-4}K\rightarrow {}_{Z-1}^{A-4}K\)
the radioactive radiations are emitted in the sequence of

In an interference experiment, interference was observed using waves associated with electrons having de-Broglie wavelength \(\lambda\). The electrons are produced by using an electron-gun having the potential difference 'V'. To increase the fringe width in an interference pattern,

Dark current in a photo-diode depends on the

An electron of mass \(m\) and a photon have the same energy E. The ratio of de-Broglie wavelengths associated with them \(\left(\frac{\lambda _{e}}{\lambda _{p}}\right)\) is {\(c\) = velocity of light}