Lakhmir Singh

When a certain photosensitive surface is illuminated with monochromatic light of frequency v, the stopping potential for the photocurrent is \frac{\mathrm{V}_{0}}{2} . When the surface is illuminated by monochromatic light of frequency \frac{\mathrm{v}}{2}, the stopping potential is -\mathrm{V}_{0}. the threshold frequency for photoelectric emission is:
(A) \frac{3 \mathrm{v}}{2}
(B) 2 \mathrm{v}
(C) \frac{4}{3} \mathrm{v}
(D) \frac{5 \mathrm{v}}{3}

Correct option is (A) $\frac{3 \mathrm{v}}{2}$ $\begin{array}{l} \mathrm{hv}=\mathrm{W}+\frac{\mathrm{v}_{0}}{2} \mathrm{e} \\ \frac{\mathrm{h} v}{2}=\mathrm{W}+\mathrm{v}_{0} \mathrm{e}...

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Identify the invalid equation.

(A) $\vartriangle $H = $\sum $H products - $\sum $Hreactants (B) $\vartriangle $H = $\vartriangle $U + P$\vartriangle $V (C) $\vartriangle $ HOreaction = $\sum $H0(product bonds) - $\sum...

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Light of wavelength ‘ \lambda ‘ which is less than threshold wavelength is incident on a photosensitive material. If incident wavelength is decreased so that emitted photoelectrons are moving with same velocity then stopping potential will
A) increase
B) decrease
C) be zero
D) become exactly half

Answer is (A) According to photoelectric equation, $\frac{\mathrm{hc}}{\lambda}-\phi=\mathrm{E} \quad$ where $\mathrm{E}=\frac{\mathrm{p}^{2}}{2 \mathrm{~m}}(\mathrm{~K} . \mathrm{E})$ If $E$ is...

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An electron of mass ‘ \mathrm{m} ‘ has de-Broglie wavelength ‘ \lambda ‘ when accelerated through potential difference ‘ \mathrm{V}^{\prime} . When proton of mass ‘ \mathrm{M} ‘, is accelerated through potential difference ‘ 9 \mathrm{~V} ‘, the de-Broglie wavelength associated with it will be (Assume that wavelength is determined at low voltage)
A) \frac{\lambda}{3} \sqrt{\frac{M}{m}}B) \frac{\lambda}{3} \cdot \frac{\mathrm{M}}{\mathrm{m}}
C) \frac{\lambda}{3} \sqrt{\frac{m}{M}}
D) \frac{\lambda}{3} \cdot \frac{m}{M}

Answer is (C) When electron or any charged particle is accelerated through potential difference $v$, then kinetic energy gained is given by $E=e V$ $\begin{array}{l} E=\frac{1}{2} m...

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In potentiometer experiment, null point is obtained at a particular point for a cell on potentiometer wire \mathrm{x} \mathrm{cm} long. If the length of the potentiometer wire is increased without changing the cell, the balancing length will (Driving source is not changed)
A) increase
B) decrease
C) not change
D) becomes zero

Answer is (A) For potentiometer, when null point is obtained for a particular cell (EV) at L $\mathrm{cm}$, (say). Whose length is $\mathrm{x} \mathrm{cm} \quad \therefore \mathrm{E}=\mathrm{L}...

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Let ‘ \mathrm{M} ‘ be the mass and ‘ \mathrm{L} ‘ be the length of a thin uniform rod. In first case, axis of rotation is passing through centre and perpendicular to the length of the rod. In second case axis of rotation is passing through one end and perpendicular to the length of the rod. The ratio of radius of gyration in first case to second case is
A) 1
B) \frac{1}{2}
C) \frac{1}{4}
D) \frac{1}{8}

Answer is (B) M.I of rod whose axis of rotation is passing through center and perpendicular to the plane of rod is $\mathrm{I}=\frac{\mathrm{ML}^{2}}{12} \quad$ and $\quad...

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In a capillary tube of radius ‘ R ‘, a straight thin metal wire of radius ‘ r(R>r) is inserted symmetrically and one end of the combination is dipped vertically in water such that the lower end of the combination is at same level. The rise of water in the capillary tube is [\mathrm{T}= surface tension of water, \rho= density of water, \mathrm{g}= gravitational acceleration ]
A) \frac{\mathrm{T}}{(\mathrm{R}+\mathrm{r}) \rho \mathrm{g}}
B) \frac{\mathrm{R} \rho \mathrm{g}}{2 \mathrm{~T}}
C) \frac{2 T}{(R-r) \rho g}
D) \frac{(\mathrm{R}-\mathrm{r}) \rho \mathrm{g}}{\mathrm{T}}

Answer is (C) $\mathrm{h}=\frac{2 \mathrm{~T} \cos \theta}{\rho g(\mathrm{R}-\mathrm{r})}$ For $\cos \theta=0, \mathrm{~h}=\frac{2 \mathrm{~T}}{\rho g(\mathrm{R}-\mathrm{r})}$

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When the observer moves towards the stationary source with velocity, ‘V_1’, the apparent frequency of emitted note is ‘F_1’. When the observer moves away from the source with velocity ‘V_1’, the apparent frequency is ‘F_2’. If ‘V’ is the velocity of sound in air and \frac{F_1}{F_2}=2 then \frac{V}{V_1}=?
A) 2
B) 3
C) 4
D) 5

Answer is (B) $\frac{\mathrm{f}_{1}}{\mathrm{f}_{2}}=2, \quad$ Speed of approach $=$ Speed of leaving The apparent frequency of sound level by observer when it is approaching source is given by...

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Identify the incorrect statement.

(1) Gangue is an ore contaminated with undesired materials (2) The scientific and technological process used for isolation of the metal from its ore is known as metallurgy (3) Minerals are naturally...

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Match the catalyst with the process

Catalyst                                                        Process (i) V2O5                                    (a) the oxidation of ethyne to ethanal (ii) TiCl4+ Al(CH3)3                 (b)...

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