Physics

Two simple harmonic motions are represented by the equations x₁ = 5 $sin\left(2\pi t+\frac{\pi }{4}\right)$  and $x_2=5\sqrt[]{2}\left(sin2\pi t+cos2\pi t\right).$  The amplitude of second motion is________ times the amplitude in first motion.

A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on the table. If the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is_________________(Take g = 10m/s²)

An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8cm as shown in the figure. Image of object. When the convex mirror is removed, a real and inverted image is formed at a position. The distance of the image from the object will be________ (cm).

A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm. The radius of an equivalent soap bubble which has the same excess pressure as inside the smaller bubble with respect to the atmospheric pressure is___________________ cm.

The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a simple pendulum of known mass 'm' to undertake oscillations of time period T is being estimated. If time period is measured to an accuracy of 3%, the accuracy to which E is known as_______%.

White light is passed through a double slit and interference is observed on a screen 1.5m away. The separation between the slits is 0.3mm. The first violet and red fringes are formed 2.0mm and 3.5mm away from the central white fringes. The difference in wavelengths of red and violet light is………nm.

If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revolution made by proton in a cyclotron to achieve one sixth of the speed of light is_________.

$\left[m_p=1.67*10^{-27}kg,e=1.6*10^{-19}C,Speedoflight=3*10^{8}m\text{?}/\text{?}s\right]$

Two short magnetic dipoles m1 and m2 each having magnetic moment of 1 Am² are placed at point O and P respectively. The distance between OP is 1 meter. The torque experienced by the magnetic dipole m2 due to the presence of m₁ is____________ * 10^-7 Nm.

A source of light is placed in front of a screen. Intensity of light on the screen in I. Two Polaroids P₁ and P₂ are so placed in between the source of light and screen that the intensity of light on screen in   $\raisebox{1ex}{$I$}\!\left/ \!\raisebox{-1ex}{$2$}\right..$ P₂ should be rotated by an angle of_______ (degrees) so that the intensity of light on the screen becomes  

The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is_________N.