COMPASSLearning

Talk to us Register Login

JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Current Electricity

At room temperature

(2 7^{\circ} C)

, the resistance of a heating element is

50Ω

. The temperature coefficient of the material is

2.4 \times 1 0^{- 4}^{\circ} C^{- 1}

. The temperature of the element, when its resistance is

62Ω

, is ______

^{\circ} C

.

Answer: 1027

Solution

R = R_{0} (1 + α Δ T)

62 = 50 [1 + 2.4 \times 1 0^{- 4} Δ T]

\frac{62}{50} - 1 = 2.4 \times 1 0^{- 4} Δ T ⟹ 0.24 = 2.4 \times 1 0^{- 4} Δ T ⟹ Δ T = 100 0^{\circ} C

Final temperature:

T = 27 + 1000 = 102 7^{\circ} C

JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Integer answer

Practise more: all JEE Main PYQs on Current Electricity →

More JEE Main questions on Current Electricity

A meter bridge with two resistances $R_{1}$ and $R_{2}$ as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50 cm from the point P, when $16Ω$ resistance is connected in parallel to $R_{2}$ . The values of resistances $R_{1}$ and $R_{2}$ ar …
JEE Main 2026View solution →
An electric power line having total resistance of $2Ω$ , delivers 1 kW of power of 250 V. The percentage efficiency of transmission line is $____$ .
JEE Main 2026View solution →
A cylindrical conductor of length 2 m and area of cross-section $0.2 mm^{2}$ carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons in the conductor is $α \times 1 0^{- 3} m^{2} / V$ .s. The value of …
JEE Main 2026View solution →
The charge stored by the capacitor C in the given circuit in the steady state is $____$ $μ C$ .
JEE Main 2026View solution →
The total length of potentiometer wire AB is 50 cm in the arrangement as shown in figure. If P is the point where the galvanometer shows zero reading then the length AP is $____$ cm .
JEE Main 2026View solution →
A battery with EMF E and internal resistance $r$ is connected across a resistance $R$ . The power consumption in R will be maximum when :
JEE Main 2026View solution →