MCQ
The path of difference between two interfering waves at a point on the screen is $\frac{\lambda}{8}$. The ratio of intensity at this point and that at the central fringe will be
- ✓$0.853$
- B$8.53$
- C$85.3$
- D$853$
✓
Answer
Correct option: A.
$0.853$
a
Phase difference $=\frac{2 \pi}{\lambda}$ (Path difference)
Phase difference $=\frac{2 \pi}{\lambda}$ (Path difference)
$\Delta \phi=\frac{2 \pi}{\lambda} \cdot \frac{\lambda}{8}=\frac{\pi}{4}$
$\Gamma=I+I+2 I \cos \frac{\pi}{4}=(2+\sqrt{2}) I$
$I^{\prime \prime}=(a+a)^{2}=4 I$
$\frac{I}{{{I^\prime }^\prime }} = \frac{{2 + 1 \cdot 41}}{4} = \frac{{3 \cdot 14}}{4} = 0 \cdot 853$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through
If the capacitance of a nanocapacitor is measured in terms of a unit $u$ made by combining the electric charge $e,$ Bohr radius $a_0,$ Planck's constant $h$ and speed of light $c$ then
→An ice block contains a glass ball when the ice melts within the water containing vessel, the level of water
major product is ?
A $0.5 \,kg$ block moving at a speed of $12 \,ms ^{-1}$ compresses a spring through a distance $30\, cm$ when its speed is halved. The spring constant of the spring will be $Nm ^{-1}$.
→While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of $18\ cm$ during winter. Repeating the same experiment during summer, she measures the column length to be $x\ cm$ for the second resonance. Then
→When two identical capacitors are charged individually to different potentials and connected parallel to each other, after disconnecting them from the source :
$A$ block of mass $m$ is hung vertically from an elastic thread of force constant $mg/a$. Initially the thread was at its natural length and the block is allowed to fall freely. The kinetic energy of the block when it passes through the equilibrium position will be :
→A physicist works in a laboratory where the magnetic field is $2 \,T$. She wears a necklace enclosing area $0.01$ $m_2$ in such a way that the plane of the necklace is normal to the field and is having a resistance $R = 0.01$ $\Omega$. Because of power failure, the field decays to $1 \,T$ in time $10^{-3}$ seconds. Then what is the total heat produced in her necklace ?.......$J$ ($T = Tesla$)
→A man balances himself in a horizontal position by pushing his hands and feet against two parallel walls. His centre of mass lies midway between the walls. The coefficients of friction at the walls are equal. Which of the following is not correct?
