The cause of the depletion layer in the p-n junction region is

A hot wire voltmeter measures the voltages across the inductor, the capacitor and the resistor as 150 V, 100 V and 50 V across a series, LCR circuit. If resistance is \( 100 \, \Omega \), the current in the circuit is :

A circular loop of area \( A = 0.01 \text{ m}^2 \) carrying a current of \( I = 10 \text{ A} \), is held in a magnetic field of \( B = 0.1 \text{ T} \) parallel to the plane of the loop. The torque acting on the loop is-

A \( 25 \, \mu\text{F} \) capacitor, a 0.10 H inductor and a \( 25 \, \Omega \) resistor are connected in series with an ac source of emf \( \epsilon = 310 \sin 314t \). What is the frequency of AC source ?

A galvanometer of \( 60 \, \Omega \) resistance shows full scale deflection for a current of 8 mA. The shunt required to convert the galvanometer into an ammeter of range 0 to 6 A will be :

Which of the following statements are correct?
A. Number of photoelectrons emitted per second is directly proportional to the intensity of incident radiation
B. Cut off potential is the minimum negative potential given to the plate for which photocurrent becomes maximum
C. For a given frequency of the incident radiation, the stopping potential is independent of its intensity
D. Even for the exceedingly dim incident radiation apparent time lag is \( \sim 10^{-9} \) s or less
E. Photons are electrically neutral and are not deflected by electric and magnetic fields
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If a capacitor is connected in an ac circuit, what is the phase relationship between current and potential difference applied across the capacitor ?

Which of the following shows both, Frenkel and Schottky defect ?

Choose the correct statement/statements:
(A) Denaturation of protein causes loss of secondary and tertiary structure
(B) Nucleotides are joined together by diester linkage
(C) DNA contains Adenine, Guanine, cytosine and Uracil
(D) Amino acids show amphoteric behaviour
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The corner points of the bounded feasible region for a linear programming problem (LPP) are \(\left(0, \frac{3}{2}\right),(1,2)\) and \((4,0)\).
If the objective function is \(Z=a x+b y\), where \(a\) and \(b\) are positive,
then the condition on \(a\) and \(b\) so that the maximum of \(Z\) occurs at \((1,2)\) and \((4,0)\) is :

Identify the correct statement about decomposition
(A) The rate of decomposition is quicker, if detritus is rich in nitrogen and sugar.
(B) Decomposition is largely an oxygen requiring process.
(C) The rate of decomposition is slow, if detritus is rich in chitin and lignin.
(D) The rate of decomposition is slow, if detritus is rich in nitrogen and sugar.
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A proton has double the kinetic energy of an \( \alpha \)- particle. The ratio of the de-Broglie wavelength of the proton to that of \( \alpha \)- particle will be

The probability distribution function of a normal variate with mean \(\mu\) and variance \(\sigma^2\) is given by :
\(f(x)=\frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2},-\infty< x< \infty,-\infty < \mu < \infty, \sigma>0\)
If \(y=f(x)\) be the normal probability curve, then which of the following is correct?
(A) The normal curve is symmetrical about the line \(x=\mu\).
(B) Mean, median and mode of the distribution coincide.
(C) \(Y\)-axis is an asymptote to the normal curve.
(D) If \(x\) increases numerically, \(f(x)\) decreases rapidly.
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