Which value is closest to the wavelength in nanometer of a quantum of light with frequency of 6 × 1015 s-1? Option A 75 Option B 10 Option C 25 Option D 50 Solution: Correct Option D Given: Plank’s...
The value of Planck’s constant is
A source of sound emitting waves of frequency and an observer are located at some distance from each other. The source is moving with a speed of at an angle of with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer (velocity of sound in air ), is: (1) (2) (3) (4)
The correct solution is (3) $ \begin{array}{l} t^{1}=f_{0}\left(\frac{v-v}{v-v_{s}}\right) \\ f^{1}=100\left(\frac{v-0}{v-(+9.7)}\right) \\ f^{1}=100 \frac{v}{v\left(1-\frac{9.7}{V}\right)}...
If vectors and are functions of times, then the value of at which they are orthogonal to each other is:(1) (2) (3) (4)
The correct Solution is (4) $ \begin{array}{l} \bar{A}=\cos w t \hat{i}+\sin w t \hat{\jmath} \\ \bar{B}=\cos \frac{w t}{2} \hat{i}+\sin \frac{w t}{2} \hat{} \end{array} $ for $\vec{A} \cdot...
A particle is executing a simple harmonic motion. Its maximum acceleration is and maximum velocity is . Then, its time period of vibration will be: (1) (2) (3) (4)
The correct Solution is (1) $ \begin{array}{l} \omega^{2} A=\alpha \\ \omega A=\beta \\ \Rightarrow \omega=\frac{\alpha}{\beta} \\ \Rightarrow T=\frac{2 \pi}{\omega}=\frac{2 \pi \beta}{\alpha}...
The Young’s modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ration of:
(1) 1 : 1
(2) 1 : 2
(3) 2 : 1
(4) 4 : 2
The correct option is 3 $\mathrm{Y}=\frac{\mathrm{W}}{\mathrm{A}} \cdot \frac{\ell}{\Delta \ell} $ So $\Delta \ell=\frac{W \ell}{A Y}$ $ \begin{array}{c} \Delta \mathrm{e}_{1}=\Delta \mathrm{e}_{2}...
The cylindrical tube of a spray pump has radius R, one end of which has fine holes, each of radius . If the speed of the liquid in the tube is , the speed of the ejection of the liquid through the holes is : (1) (2) (3) (4)
The solution is option 3 Volume inflow rate = volume anflow rate $ \pi R^{2} V=n \pi r^{2} \quad \Rightarrow \quad v=\frac{\pi R^{2} V}{n \pi r^{2}}=\frac{V R^{2}}{\mathrm{nr}^{2}} $
An electron moves on a straight line path XY as shown. The abcd is a coil adjacent to the path of electron. What will be the direction of current, if any, induced in the coil?
(1) No current induced
(2) abcd
(3) adcb
(4) The current will reverse its direction as the electron goes past the coil
The correct solution is 4 The induced current will be anticlockwise as $ e^-$ approaches. The induced current will be clockwise as $e^-$ moves further away.
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