A hammer of mass 1 kg having speed of 50 m-s hits on iron nail of mass 200 gm- If the specific heat of iron is 0-105 cal-gm-C and half the energy is converted into heat- the raise in the temparature of nail is

Name: CENGA - Grade 11 - Physics - Thermal properties of matter - Q121
Uploaded: 2022-07-04T10:36:42+05:30
Description: Formula used: nbsp;Q=mcΔθ Given: nbsp;M=1 kg, v=50 m/s, m=200 g, c= 0.105 cal/g^∘C, 12KE=Q To convert CGS unit into SI unit we use factor of J=4.2, W=JQ ...

Formula used: nbsp;Q=mcΔθ Given: nbsp;M=1 kg, v=50 m/s, m=200 g, c= 0.105 cal/g^∘C, 12KE=Q To convert CGS unit into SI unit we use factor of J=4.2, W=JQ ...

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Standard VIII

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Question

A hammer of mass $1 k g$ having speed of $50 m / s$ hits on iron nail of mass $200 g m$ . If the specific heat of iron is $0.105 c a l / g m^{\circ} C$ and half the energy is converted into heat, the raise in the temparature of nail is

{7.1}^{\circ} C

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{10.5}^{\circ} C

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{12.1}^{\circ} C

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{9.2}^{\circ} C

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Solution

The correct option is A ${7.1}^{\circ} C$
Formula used: $Q = m c Δ θ$

Given: $M = 1 k g, v = 50 m / s, m = 200 g, c = 0.105 c a l / g^{\circ} C, \frac{1}{2} K E = Q$

To convert CGS unit into SI unit we use factor of $J = 4.2$ ,
$W = J Q$
$\frac{1}{2} (\frac{1}{2} M v^{2}) = J (m c Δ θ)$
$\frac{1}{4} \times 1 \times (50)^{2} = 4.2 [200 \times 0.105 \times Δ θ]$
$Δ θ = {7.1}^{\circ} C$

FINAL ANSWER: (a).

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A hammer of mass 1 kg having speed of 50 m/s hits on iron nail of mass 200 gm. If the specific heat of iron is 0.105 cal/gm∘C and half the energy is converted into heat, the raise in the temparature of nail is

The correct option is A 7.1∘CFormula used: Q=mcΔθ Given: M=1 kg, v=50 m/s, m=200 g, c= 0.105 cal/g∘C, 12KE=Q To convert CGS unit into SI unit we use factor of J=4.2, W=JQ 12(12Mv2)=J(mcΔθ) 14×1×(50)2=4.2[200×0.105×Δθ] Δθ=7.1∘C FINAL ANSWER: (a).

A hammer of mass $1 k g$ having speed of $50 m / s$ hits on iron nail of mass $200 g m$ . If the specific heat of iron is $0.105 c a l / g m^{\circ} C$ and half the energy is converted into heat, the raise in the temparature of nail is