Physics
Guiding State PSC aspirants since 2016 50,000+ students · 1,000+ final selections Exam Calendar Results Call 9116926003
pscnotes
EN हिं
Pick your state

Physics questions with answers

2,629 multiple-choice questions. Open any question for its answer and explanation.

Questions asked in State PSC and UPSC prelims, by topic. Each topic also has notes to read.

Read the notes: Computer and Information Technology →

  1. The table below gives values of a function f(x) obtained for values of x at intervals of 0.25, the value of the integral of the function f(x) between the limits 0 to 1 using Simpson's $(\frac{1}{3})$ |-------|-------|-------|-------|-------|-------| | f(x) | 1 | temptedAsked in EI GS T&TR Transport Deptt 2702 2025
  2. Half-life of C-14 is 5730 years. What fraction remains after 11,460 years?Asked in lower devision clerk 2025 · Asst. Statistical Officer (Agri. Deptt.) 2024
  3. The Laplace transform of Bessel function J₀(t) is - - (1) $\frac{1}{\sqrt{s^2+1}}$ - (2) $\frac{s} {\sqrt{s^2+1}}$ - (3) $1+\frac{s}{\sqrt{s^2+1}}$ - (4) $1-\frac{s}{\sqrt{s^2+1}}$ - (5) Question not attemptedAsked in Asst. Statistical Officer (Agri. Deptt.) 2024
  4. If y = x is one of the solution of differential equation $(x^2+1)\frac{d^2y}{dx^2} - 2x\frac{dy}{dx} + 2y = 0$, then another linearly independent solution is - - (1) $y=\frac{1}{2}x$ - (3) $y=\pi x$ - (5) Question not attemptedAsked in Asst. Statistical Officer (Agri. Deptt.) 2024
  5. Which of the following statement is not correct? (1) The closed half spaces $H_1 = \{x | cx \ge z\}$ and $H_2 = \{x | cx \le z\}$ are convex sets. (2) Intersection of two convex sets is also a convex set. (3) Let $A = \{x_1 - x_2 | x_1 \in S, x_2 \in T\}$, where S and T are two non-empty disjoint convex sets, then A is a convex set. (4) If S and T are any two convex sets in $\mathbb{R} ^n$, then for all scalars $\alpha$ and $\beta$, the set $\alpha S + \beta T$ is not convex. (5) Question not attemptedAsked in Asst. Statistical Officer (Agri. Deptt.) 2024
  6. One independent solution of partial differential equation $yzp + zxq = xy$, (where $p = \frac{\partial z}{\partial x}$, $q = \frac{\partial z}{\partial y}$) is -Asked in Asst. Statistical Officer (Agri. Deptt.) 2024
  7. If $u = \sin^{-1}\left(\frac{x^3+y^3}{\sqrt{x}+ \sqrt{y}}\right)$, then $x \frac{\partial u}{\partial x} + y \frac{\partial u}{\partial y}$ is equal to -Asked in Asst. Statistical Officer (Agri. Deptt.) 2024
  8. The hypergeometric function $_{2}F_{1} (\alpha, \beta; \beta; x)$ is equal to -Asked in Asst. Statistical Officer (Agri. Deptt.) 2024
  9. Solution of the differential equation x $ \frac{d^2y}{dx^2} - (2x-1)\frac{dy}{dx} + (x-1)y = 0$ is - - (1) $y = \log_e x (C_1 e^x + C_2)$ - (2) $y = e^x (C_1 \log_e x + C_2)$ - (3) $y = \log_e x (C_1 e^{-x} + C_2)$ - (4) $y = e^{-x} (C_1 \log_e x + C_2)$ - (5) Question not attemptedAsked in Asst. Statistical Officer (Agri. Deptt.) 2024
  10. Lagrange's interpolation formula can be used - - (5) Question not attemptedAsked in Asst. Statistical Officer (Agri. Deptt.) 2024
  11. The value of f(1.22) from the following table using Stirling's Interpolation formula is - x : 1.0 1.1 1.2 1.3 1.4 - (5) Question not attemptedAsked in Asst. Statistical Officer (Agri. Deptt.) 2024
  12. If $J_n(x)$ denotes the Bessel's function of first kind of order n in argument x, then $J'_0(x)$ is equal to, where $J'_0(x)$ is the first derivative of $J_0(x)$ w.r.t. x - - (5) Question not attemptedAsked in Asst. Statistical Officer (Agri. Deptt.) 2024
  13. Bessel's Function Recurrence Relation $2J'_n(x) = J_{n-1}(x) - J_{n+1}(x)$. 2. Relation for Negative Order $J_{-n}(x) = (-1)^n J_n(x)$. 3. Derivative of $J_0(x)$ Using the recurrence relation for $n=0$ and the negative order relation, we find $J'_0(x) = - J_1(x)$. 4. Potential Typo Consideration If the intended question was for $-J'_0(x)$, then $-J'_0(x) = J_1(x)$, matching option D. 12. For the system $\dot{X} = \begin{bmatrix} 2 & 3 \\ 0 & 5 \end{bmatrix} X + \begin{bmatrix} 1 \\ 0 \end{bmatrix} u$ which of the following statements is true?Asked in GS&EI ElectEngg 14 2024 1601 2025
  14. The transfer function of the system described by $\frac{d^2 y}{dt^2} + \frac{dy}{dt} = \frac{du}{dt} + 2u$ with u as input and y as output isAsked in GS&EI ElectEngg 14 2024 1601 2025
  15. The eigenvalues of the system represented by $\dot{X} = \begin{bmatrix} 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ 0 & 0 & 0 & 1 \end{bmatrix} X$ areAsked in GS&EI ElectEngg 14 2024 1601 2025
  16. A control system is defined by the following mathematical relationship : $\frac{d^{2} x}{d t^{2}}+6 \frac{d x}{d t}+5 x=12\left(1-e^{-2 t} \right)$ The response of the system at $t \rightarrow \infty$ isAsked in GS&EI ElectEngg 14 2024 1601 2025
  17. The roots of the closed-loop characteristic equation of the system shown in Fig. 6 are Fig. 6 Fig. 6Asked in GS&EI ElectEngg 14 2024 1601 2025
  18. The loop gain $GH$ of a closed-loop system is given by the following expression : $\frac{k} {s(s+2)(s+4)}$ The value of $k$ for which the system just becomes unstable isAsked in GS&EI ElectEngg 14 2024 1601 2025
  19. The impulse response of an LTI system is $h(t)=e^{-3t} u(t)$. If the output of the system is $y(t)=e^{-3t} u(t)-e^{-5t} u(t)$, then the input $x(t)$ is given byAsked in GS&EI ElectEngg 14 2024 1601 2025
  20. A transfer function of a system is given as $ \frac{100}{s^2 + 20s + 100}$ The system isAsked in GS&EI ElectEngg 14 2024 1601 2025
  21. A message signal $m(t) = \cos 2000 \pi t + 4 \cos 4000 \pi t$ modulates the carrier $c(t) = \cos 2\pi f_c t$ where $f_c = 1$ MHz to produce an AM signal. For demodulating the generated AM signal, using an envelope detector, the RC of the detector circuit should satisfyAsked in GS&EI ElectEngg 14 2024 1601 2025
  22. In a commercial broadcasting system, the FM signal has a centre frequency 105 MHz and the highest frequency of 105.5 MHz. When modulated by a signal 5 kHz, the modulation index will beAsked in GS&EI ElectEngg 14 2024 1601 2025
  23. In PAM, the carrier wave consists of a periodic train of rectangular pulses and the carrier frequency is equal toAsked in GS&EI ElectEngg 14 2024 1601 2025
  24. Compared to continuous time system, the discrete system isAsked in GS&EI ElectEngg 14 2024 1601 2025
  25. The steady-state performance of a control system yields a non-zero finite value of the velocity error constant. The type of the system isAsked in GS&EI ElectEngg 14 2024 1601 2025